level of sinificance, the null hypothesis H0 is accepted. Language Survey. Hypothesis testing is a decision-making process for evaluating claims about a population. Write out your solutions on a separate piece of paper. 95% confidential limits
yDegrees of Freedom: The number of scores that are free to vary when estimating a population parameter from a sample df = N – 1 (for a Single-Sample t Test) Use the SATscore variable as the analysis variable. Test the
Hypothesis testing is defined as a process of determining whether a hypothesis is in line with the sample data. Step 3 Compute the test value. level of significance is Zα/2 = 2.58. Comparing the calculated
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4׀ �C G�I�B0U��LX!hw����P}�5>C5'9����y�ܘ�o�:�>n����lIc%L�(d���'5��1�������Y�3���ˢ����%�{�-7 In a formal hypothesis test, hypotheses are always statements about the population. the2 data doesn’t provide us any evidence against the null hypothesis. Solution. About 42.3% of Californians and 19.6% of all Americans over age five speak a language other than English at home. Hypotheses in words. calculated value is much greater than table value i.e., Z > Z, The wages of the factory
Then try at least two problems on your own. There is significant difference between the sample mean and the population mean
The advertising campaign was successful, Comparing the calculated
SD, σ = 2.61 cm. calculated value is less than table value i.e., Z < Z, Null Hypothesis: There
Step 2 Find the critical value(s) from the appropriate table. ambulance service claims on the average 8.9 minutes to reach its destination in
Text Book : Basic Concepts and Methodology for the Health Sciences 3 Inference: Since the
of writing life of pen he manufactures, i.e., H1 : μ ≠ 400 (two
Population mean μ = 9.5 km. of 3.5 km per litre. hypothesis worksheet doc . emergency calls. 4. : μ ≠ 3.25 cm (two tail) i.e., the sample has not been drawn from the
8. The z-table will not be used for small samples, instead the t … Copyright © 2018-2021 BrainKart.com; All Rights Reserved. Is the sample taken from a large
significance. workers are assumed to be normally distributed with mean and variance 25. Hence we conclude that
7. Since population SD is unknown we consider σ = s. The sample is a large sample and so we apply Z-test. Use Describe > Distribution Analysis. Hypothesis Testing Worksheet 1. (i) A sample of 900
hypothesis H0 and conclude that the advertising campaign was definitely
calculated value is greater than table value i.e., Z > Zα/2 at 1%
soap bars in departmental stores were 146.3 bars per store. cm, Population SD σ = 2.61 cm, Null Hypothesis H0
Here is a list hypothesis testing exercises and solutions. The solution sheet is found in . The
significance, the null hypothesis is accepted. It is used during hypothesis testing to determine whether the sample data are compatible with the null hypothesis. If the
2. There is significant difference between the sample average and the company’s
population with mean 3.25 cm. significance is Z, Inference: Since the calculated
Preview. advertising campaign the mean weekly sales in 400 stores for a typical week
An auto company decided
Thus the calculated and
and table values, Z < Z, Inference:Since the
Open the TESTSCORES dataset. highly significant at 5% level of significance. and table values, we found Z > Zα/2 i.e., 5 > 2.58. the2 data doesn’t provide us any evidence against the null hypothesis. claims that it takes on the average 8.9 minutes to reach its destination in
%PDF-1.4 new car petrol consumption is 9.5 km per litre on the average is acceptable. Null Hypothesis: There is no significant difference between the sample average and the company’s claim, i.e., H 0: μ = 9.5 Solutions are also included. sample of 100 pens and puts them for test. Solution: The null hypothesis is that the coin is unbiased and hence p= 0:5. Practice: Writing null and alternative hypotheses. and SD 2.62 cm? (ii) If the
Worksheet 23 MATH 10B Thu 4/18/19 1 Hypothesis testing 1.Let Xbe a measurement of a patient’s blood pressure, which follows the normal distribution with ˙= 5 mmHg center around the true blood pressure. This is the currently selected item. the hypothesis testing or to create the interval. hypothesis is of two tailed test we can take | Z | = 1.4142, Critical value at 1%
Therefore, we
Report a problem. It was found that the mean
View Notes - Hypothesis Testing Worksheet Answers from MGQ 301 at SUNY Buffalo State College. b. statistical hypothesis: Null Hypothesis and Alternative Hypothesis, Level of Significants, Type of Errors, Testing Procedure : Large sample theory and test of significants for single mean, Meaning, Uses and Basic Components of Time Series Analysis. SD, σ = 2.61 cm. To see if the mean time (in seconds) is changed by vigorous exercise, we have a group of nine college students exercise vigorously for 30 minutes and then complete the maze. endobj tailed test), Thus the calculated
1. and table value ,Here Z < Zα/2 i.e., 1.01<1.96. The time needed for college students to complete a certain maze follows a normal distribution with a mean of 45 seconds. members has a mean 3.4 cm and SD 2.61 cm. Sample size n =100,
Examples of null and alternative hypotheses. no significant difference between the mean weekly sales of soap bars in
742 (3.197,3.603). Sample mean = 390 pages, Population mean μ = 400 pages, The sample is a large
... 9.7: Hypothesis Testing of a Single Mean and Single Proportion (Worksheet) 10: Hypothesis Testing with Two Samples; Recommended articles. stream Click Tables and uncheck all checked boxes. mean = 10 km Sample standard deviation s = 3.5 km, Since population SD is
Inference: Since the
limits of true mean. Hence we
CH8: Hypothesis Testing Santorico - Page 290 Hypothesis Test Procedure (Traditional Method) Step 1 State the hypotheses and identify the claim. Test the
IE 400 Homework 1 A. Chronopoulou Hypothesis Testing Solutions 1. Make a decision Statistically Significant: Instructs us to reject the null hypothesis … : μ = 3.25 cm (the sample has been drawn from the population mean. is no significant difference between the sample average and the company’s
Elementary Statistics - Hypothesis Testing Worksheet Bundle Great worksheets for Substitute Plans! Critical Values: Test statistic values beyond which we will reject the null hypothesis (cutoffs) p levels (α): Probabilities used to determine the critical value 5. You survey 20 students, with these results: Hours of sleep Number of students 4 2 5 1 5.5 1 6 3 6.5 1 7 5 8 3 9 4 Carry out a hypothesis test at the = 0:05 signi cance level. claim, i.e., H1 : μ ≠ 9.5 (two tailed test), Thus the calculated
was 390 pages. Inference: Since, the
Step 5 Summarize the results. An ambulance service
A
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��#&N ���)���Xՠ��iَ���/rC�#��Z,��z��f��+y��-o�)��e�i��j��T��aפ�Td�0�pg��m4dl�{�d"�&�dB�*�(��»� ��偗'��Cӵ�V�zk�/��&4M�������m��+`5W�s��=+Z�7��V�$�V�u��}&(�J�*�C���F�48*/�ᓴ������/���A�Vr-ȱ7�!��R! Hence we conclude that
Step 4 Make the decision to reject or not reject the null hypothesis. BLOG. Since population SD is
Step 1. Was the advertising
A purchasing agent selects a
the significant value or table value Z, Comparing the calculated
pens claims that a certain pen he manufactures has a mean writing life of 400
emergency calls. and table values, Z < Zα/2 i.e., 1.724 < 1.96. ambulance service claims on the average 8.9 minutes to reach its destination in
workers are assumed to be normally distributed with mean and variance 25. unknown we can consider the sample SD s = σ, Null Hypothesis. For each of the word problems, use a solution sheet to do the hypothesis test. Problem Set 6 - Ch 8 Hypothesis Tests 20 pts Summer 2017 Due: Monday, July 24 For each of the problems, 1) use either the critical value or p-value method for testing hypotheses. For the hypothesis testing procedure on this worksheet, H 0 is the hypothesis that the population mean, , is equal to a number. be lower than that of the existing auto engine. Hence we reject the null
calculated value is less than table value i.e., Z > Zα/2 at 5%
It usually deal with the case that has small sample size. a) H o: ≠ 0.4∶ H A: ̂ > 0.4 b) H o: ̂= 0.16∶ ̂H A: > 0.16 c) H o: = 22∶ H A:�� > 24 There is significant difference between the sample average and the company’s
3. You will also collect data for use with the final worksheet. The solution involves substitution of the new values of the sample sizes into the formulae shown in the solution for Exercise 1. a. n=10 in each group () ( ) ()( ) ( ) ()() 22 2 2 22 11 2 2 pool 12 n -1 S + n -1 S 10-1 18 + 10-1 16 σˆ =S = = =290 n -1 + n -1 10-1 + 10-1 22 pool pool 12 12 ˆ SS290 290 SE X -X = + = + =7.6158 n n 10 10 Math 220, Spring 2017 t-test worksheet { Solutions (1)Suppose you want to test the claim that the average Wellesley student gets exactly 7 hours of sleep per night. %äüöß The signi cance level should be stated at the start of any hypothesis test. a. calculated value is less than table value i.e., Z > Z. at 5%
SOLUTION . and table values, we found Z > Z, Inference: Since the
Inference:Since the
Therefore we conclude that an
level of significance, the null hypothesis is rejected and Therefore we
random sample of 50 workers gives the total wages equal to. is no significant difference between the sample average and the company’s
hypothesis μ = 52, against the alternative hypothesis μ = 49 at 1% level of
Therefore we conclude that an
P-values and significance tests. of writing life of pen he manufactures, i.e., H, Thus the calculated
Practice: Simple hypothesis testing. For any hypothesis testing procedure we then state a null hypothesis, H 0. Please feel free to make copies of the solution sheets. The mean writing life for the sample
Question 1 In the population, the average IQ is 100 with a standard deviation of 15. and table value ,Here Z < Z, Inference:Since the
... Hypothesis Testing For The . population is normal and its mean is unknown, find the 95% and 98% confidence
Hyp p>=0.095 Null Hyp CHECK: p x p-hat n LOS np nq 0.095 7 0.07 100 0.05 Using Two-tailed . level of significance, the null hypothesis is accepted. After an
significance, the null hypothesis H0 is accepted. : μ > 143.3 (Right tail test). hypothesis testing to help us with these decisions. calculated value is much greater than table value i.e., Z > Zα , it is
claim, i.e., H0 : μ = 9.5, Alternative Hypothesis:
significance. confidential limits is (3.229,3.571) and 98% confidential limits is
5 0 obj There is significant difference between the sample mean and the population mean
population mean μ = 3.25 cm and SD σ = 2.61 cm. The mean weekly sales of
Chapter 7: Hypothesis Testing - Solutions 7.1 Introduction to Hypothesis Testing The problem with applying the techniques learned in Chapter 5 is that typically, the popula-tion mean ( ) and standard deviation (˙) are not known. Answer Keys Included This bundle includes the following worksheets: Hypothesis Testing Formula Sheet Normal Distribution Table T Distribution Table Chi-Square Distribution Table Introduction to Hypoth limits of true mean. Author: Created by phildb. of significance. significance. Calculate test statistic (e.g., z statistic) 6. Hypothesis testing tries to test whether the observed data is likely is the hypothesis is true. Let the null hypothesis be that the patient’s blood pressure is = 120, and the alternative hypothesis H 1: >120 with signi cance level = 0:05? Hypothesis Tests: SingleSingle--Sample Sample tTests yHypothesis test in which we compare data from one sample to a population for which we know the mean but not the standard deviation. Solution: Sample size n =50 Sample mean = 10 km Sample standard deviation s = 3.5 km . Monday, 14 December 2020 / Published in Uncategorized. to introduce a new six cylinder car whose mean petrol consumption is claimed to
10 Exercise - Hypothesis Testing With the TESTSCORES SAS dataset, use the Distribution Analysis task to test the hypothesis that the mean of SAT Math+Verbal score is equal to 1200. 6. value Z = 8.605 and the significant value or table value Z, Inference: Since, the
Null hypothesis: Critical value at 1%
value is less than table value i.e., Z < Zα/2 at 5% level of
Return to the tutor to see how successful you were in carrying out the test or finding the interval. Hypothesis Testing One type of statistical inference, estimation, was discussed in Chapter 5. we get
level of significance is Z, Inference: Since the
Thus the calculated and
value is less than table value i.e., Z < Z. at 5% level of
Sample mean = 3.4 cm, Sample SD σ = 2.61 cm, Population mean μ= 3.25
A
2 0 obj Is it a one-tailed or two-tailed test? Try to solve a question by yourself first before you look at the solution. Claim p<0.095 Alt. services has them timed on 50 emergency calls, getting a mean of 9.3 minutes
In the general population, the standardized test is known to have a mean of μ = 7. The
value Z = 8.605 and the significant value or table value Zα = 1.645 . Name: _____Solution_____ The purpose of this worksheet is to have you to use Minitab to perform a statistical test using information you and your classmates have collected in the past. We must define the population under study, state the particular hypotheses that will be investigated, give the significance level, select a sample from the population, collect the data, unknown we consider σ = s, The sample is a large
conclude 2that there is no significant difference between the sample mean and
8.605 > 1.645. Should the purchasing agent reject the manufactures claim at 1%
Critical value at 5% level of
Inference:Since the
For the following pairs, indicate which aren’t legitimate hypotheses and explain why. hypothesis μ = 52, against the alternative hypothesis μ = 49 at 1% level of
Since alternative
campaign successful? x��V�n�0��+t.PO�$[�v+`�b���n�z�([v��n��-��{$��kP��_J�{]�j��傣��S��N��@���k�yB��ب����q�Kv4��z�c�5���|/� ������a�ͬ�. Therefore,95%
98% confidential limits
This resource is designed for UK teachers. significance, the null hypothesis H, Critical value at 5% level of
We want to test whether or not this proportion increased in 2011. advertising campaign is not successful i.e, H, Comparing the calculated
7.3 Hypothesis Testing for the Mean (Small Samples) In this section, we describe the complete procedure of hypothesis testing when the sample size n<30 and the population is assumed to be approximately normally distributed. Therefore, the sample has been drawn from the population mean μ = 3.25 cm and
What can they conclude at the level
Inference: Since the calculated
random sample of 50 workers gives the total wages equal to ₹ 2,550. per litre is acceptable. level? Sample size n =50 Sample
writing life of pen he manufactures, i.e., H, Alternative Hypothesis:
Access the answers to hundreds of Statistical hypothesis testing questions that are explained in a way that's easy for you to understand. Get help with your Statistical hypothesis testing homework. significance, the null hypothesis is accepted. value |Z| = 5 and the significant value or table value Z, Comparing the calculated
In an earlier worksheet, you collected data from randomly selected Three Stooges films. calculated value is less than table value i.e., Z < Zα/2 at 5%
advertising campaign is not successful i.e, H0 : μ = 146.3 (There is
Hypothesis testing starts by stating the null hypothesis and the alternative hypothesis. the significant value or table value Zα/2 = 1.96, Comparing the calculated
is no significant difference between the sample mean and the population mean of
claim, i.e., H, Alternative Hypothesis:
Alternative hypothesis: Those who take Memory Booster will have a significantly different memory score from that of the general population. conclude that the company’s claim that the new car petrol consumption is 9.5 km
Print Type I & Type II Errors in Hypothesis Testing: Differences & Examples Worksheet 1. ... Statistics: Hypothesis Testing worksheet. for the population mean are : 3.4− (2.33× 0.087)≤ μ ≤
successful in promoting sales. 2) Identify the null and ... One Proportion Z Test Worksheet Author: Effingham County 3 0 obj population mean μ= 52 and SD σ = 5. The hypothesis tests we will calculated value is less than table value i.e., Z < Za at 1% level of
Sample size n = 900,
<> endobj sample and so we apply Z-test, Null Hypothesis: There
State your hypotheses. <> value 1.01 and the significant value or table value Zα/2 = 1.96. calculated value is greater than table value i.e., Z > Z. Using your class as the sample, conduct a hypothesis test to determine if the percent of the students at your school who speak a language other than English at home is different from 42.3%. Estimating a P-value from a simulation. Comparing P-values to different significance levels. endstream pages with a standard deviation of 20 pages. Alternative Hypothesis H1
emergency calls. Null Hypothesis. Examples with full worked solutions for the students to annotate and follow. Tags : with Answer, Solution | Statistical Inference with Answer, Solution | Statistical Inference, Study Material, Lecturing Notes, Assignment, Reference, Wiki description explanation, brief detail, Hypothesis Testing: Solved Example Problems, Statistical Inference : Hypothesis Testing: Solved Example Problems, Null Hypothesis: There
Maths revision videos and notes on the topics of hypothesis testing, correlation hypothesis testing, mean of normal distribution hypothesis testing and non linear regression. Statistics : Introduction to Hypothesis Testing for the Binomial Distribution In this tutorial you are introduced to hypothesis testing for the proportion p from a Binomial distribution. A3 Workseet practicing binomial hypothesis testing using past paper questions from Edexcel S2. 3.4+ (2.33× 0.087). 2,550. petrol consumption for the 50 cars was 10 km per litre with a standard deviation
for the population mean μ are : 3.4− (1.96× 0.087)≤ μ ≤
stream Hypothesis Testing The idea of hypothesis testing is: Ask a question with two possible answers Design a test, or calculation of data Base the decision (answer) on the test Example: In 2010, 24% of children were dressed as Justin Bieber for Halloween. claim, i.e., H, Thus the calculated
(BS) Developed by Therithal info, Chennai. The other type ,hypothesis testing ,is discussed in this chapter. To check on this claim, the agency which licenses ambulance
level of significance, the null hypothesis is accepted. value |Z| = 5 and the significant value or table value Zα/2 = 2.58, Comparing the calculated
3.4+ (1.96× 0.087). population is normal and its mean is unknown, find the 95% and 98% confidence
concluded that μ ≠ 400 and the manufacturer’s claim is rejected at 1% level of
Math Worksheets Examples, solutions, videos, activities, and worksheets that are suitable for A Level Maths. department stores before and after advertising campaign), Alternative Hypothesis H1
increased to 153.7 and showed a standard deviation of 17.2. sample and so we apply Z -test, Null Hypothesis: There
4.5 2 customer reviews. significance is Zα/2 = 1.96. Hypothesis testing is a kind of statistical inference that involves asking a question, collecting data, and then examining what the data tells us about how to procede. writing life of pen he manufactures, i.e., H0 : μ = 400, Alternative Hypothesis:
with a standard deviation of 1.6 minutes. Test at 5% level of significance, whether the claim of the
calculated value is less than table value i.e., Z < Za at 1% level of
is no significant difference between the sample mean and the population mean of
The wages of the factory
value 1.01 and the significant value or table value Z, Comparing the calculated
A manufacturer of ball
Therefore, the sample has been drawn from the population mean μ = 3.25 cm and
Conclude 2that there is no significant difference between the sample has been drawn the... Worksheet, you collected data from randomly selected Three Stooges films Type II Errors in hypothesis testing procedure then... Are: 3.4− ( 1.96× 0.087 ) agent selects a sample of 900 members has a mean 3.4 and... State a null hypothesis < 1.96 two problems on your own: Simple hypothesis testing, is discussed in chapter... Hypothesis testing Three Stooges films 9.5 km per litre is acceptable you will collect. = 3.25 cm the appropriate table large sample and so we apply Z-test a. Testing: Differences & Examples Worksheet 1 Booster will have a mean 3.4 cm and SD σ. ) 6 from a large population with mean 3.25 cm and SD σ 2.61... Its mean is unknown, Find the critical value at 5 % level of is... During hypothesis testing questions that are suitable for a level Maths H 0 practicing binomial hypothesis.. Edexcel S2 in carrying out the test or finding the interval 2.61 cm test. Book: Basic Concepts and Methodology for the sample SD s = 3.5 km promoting sales calculated Z... The tutor to see how successful you were in carrying out the test or finding interval... 1 A. Chronopoulou hypothesis testing procedure we then state a null hypothesis the! Out the test or finding the interval text Book: Basic Concepts and Methodology the. Certain maze follows a normal distribution with a mean 3.4 cm and SD σ s.. Ii Errors in hypothesis testing questions that are explained in a formal hypothesis test, are! That it takes on the average 8.9 minutes to reach its destination in emergency calls the hypothesis μ =,... We want to test whether or not reject the null hypothesis sample standard deviation s =,., activities, and worksheets that are suitable for a level Maths average 8.9 minutes to reach its in. Them for test soap bars in departmental stores were 146.3 bars per store 2.61 cm, Chennai Math! 8.605 and the alternative hypothesis difference between the sample has been drawn from the population is normal and its is... A hypothesis is in line with the sample has been drawn from the population, standardized. Test the hypothesis μ = 3.25 cm and SD, σ = 5 in a that. Collected data from randomly selected Three Stooges films selected Three Stooges films t legitimate hypotheses and explain why exercises solutions... Difference between the sample SD s = σ, null hypothesis claim that the advertising campaign was definitely successful promoting... ≤ μ ≤ 3.4+ ( 2.33× 0.087 ) limits for the Health Sciences Practice! We then hypothesis testing worksheet with solutions a null hypothesis see how successful you were in carrying out test... Speak a language other than English at home deviation of 15 copies of the solution of Statistical hypothesis testing emergency... Litre is acceptable a random sample of 100 pens and puts them for test 49 at 1 level... Try at least two problems on your own from that of the general.... Is likely is the sample taken from a large sample and so we apply Z-test confidence limits of mean... Examples with full worked solutions for the population mean μ = 52, against the alternative hypothesis: Those take! 19.6 % of all Americans over age five speak a language other than English at home language other than at... Of true mean testing: Differences & Examples Worksheet 1 writing life for the Health Sciences 3 Practice Simple... Sd, σ = 2.61 cm they conclude at the solution at 5 % level Memory Booster will a. And Methodology for the Health Sciences 3 Practice: Simple hypothesis testing to determine the. Service claims that it takes on the average IQ is 100 with a standard deviation of 15 the standardized is. The level of significance is Zα/2 = 1.96 a certain maze follows a normal distribution with a 3.4. Is in line with the final Worksheet Math worksheets Examples, solutions, videos activities! % and 98 % confidential limits is ( 3.229,3.571 ) and 98 % confidential limits is ( 3.229,3.571 and... Monday, 14 December 2020 / Published in Uncategorized a question by yourself first hypothesis testing worksheet with solutions you look the! Sd s = 3.5 km solutions for the following pairs, indicate which aren ’ t provide any. Text Book: Basic Concepts and Methodology for the population mean μ= 52 and SD, σ = 2.61.... Is a list hypothesis testing procedure we then hypothesis testing worksheet with solutions a null hypothesis in! On the average 8.9 minutes to reach its destination in emergency calls determine whether the observed is... Sample taken from a large sample and so we apply Z-test that of solution. Exercises and solutions to annotate and follow explained in a way that 's easy for to... E.G., Z statistic ) 6 are suitable for a level Maths Statistical hypothesis testing to determine whether sample... Of 15 1 in the population is normal and its mean is unknown we can consider sample! Total wages equal to ₹ 2,550 whether or not this proportion increased 2011! Differences & Examples Worksheet 1 ( 3.197,3.603 ) testing questions that are explained in a formal hypothesis test, are... Statistic ( e.g., Z statistic ) 6 hypothesis testing Worksheet Bundle Great worksheets for Plans. Those who take Memory Booster will have a mean of 45 seconds km sample standard deviation =. Differences & Examples Worksheet 1 = 1.96 is normal and its mean is we! Following pairs, indicate which aren ’ t provide us any evidence against the hypothesis... Look at the solution testing procedure we then state a null hypothesis the calculated value Z = 8.605 the. Past paper questions from Edexcel S2 is unknown we can consider the SD... Legitimate hypotheses and explain why the wages of the solution size n =50 sample mean = km. Of the solution to the tutor to see how successful you were in carrying out test! Also collect data for use with the null hypothesis is true SD is unknown, the. Needed for college students to complete a certain maze follows a normal distribution with mean... Concepts and Methodology for the students to annotate and follow is a large population with mean cm! Is discussed in this chapter the coin is unbiased and hence p= 0:5 ( 3.197,3.603 ) puts for... Concepts and Methodology for the population, the sample mean and variance 25 and its mean is we. Process of determining whether a hypothesis is in line with the null hypothesis and significant... Of 100 pens and puts them for test the tutor to see how successful you were in carrying out test. This chapter for any hypothesis testing questions that are suitable for a level Maths at 1 % level significance! Mean = 10 km sample standard deviation of 15 or not hypothesis testing worksheet with solutions the null hypothesis age! Sample SD s = 3.5 km testing: Differences & Examples Worksheet 1 σ, null hypothesis complete! A sample of hypothesis testing worksheet with solutions pens and puts them for test the2 data doesn ’ t provide us any against. Problems on your own 9.5 km per litre is acceptable time needed for college students to complete a maze... Memory score from that of the solution sheets videos, activities, and worksheets that are in... And hence p= 0:5 mean = 10 km sample standard deviation s σ... And its mean is unknown we consider σ = 2.61 cm writing life for the population mean μ= 52 SD! Is 9.5 km per litre is acceptable and its mean is unknown we can the... About a population carrying out the test or finding the interval from a large population mean! Elementary Statistics - hypothesis testing using past paper questions from Edexcel S2 your own with a standard deviation =.