For the job satisfaction study described in Section 9.1, the hypotheses are

H0:μ=0Ha:μisnotequalto0

where μis the mean difference in job satisfaction scores (self-paced machine-paced) in the population of assembly-line workers at the company. Data from a random sample of 18workers gave x=17and sx=60

Calculate the test statistic. Show your work.

Short Answer

Expert verified

The test statistic is 1.273

Step by step solution

01

Given information

Sample mean (x)=17

Sample size(n)=18

Sample standard deviation (s)=60

02

Concept

The test statistic is computed as: t=xμsn

x=Sample mean

μ=Population mean

n=Sample size

s=Sample standard deviation

03

Explanation

The null and alternative hypotheses are:

H0:μ=0Ha:μ0

The test statistic can be computed as:

t=xμsnt=18-06018=1.273

Thus, the test statistic is1.273

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Most popular questions from this chapter

How long does it take for a chunk of information to travel from one server to another and back on the Internet? According to the site internettrafficreport.com, a typical response time is 200milliseconds (about one-fifth of a second). Researchers collected data on response times of a random sample of14servers in Europe. A graph of the data reveals no strong skewness or outliers. The figure below displays Minitab output for a one-sample t interval for the population mean. Is there convincing evidence at the 5%significance level that the site’s claim is incorrect? Use the confidence interval to justify your answer.

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(a) Describe a Type I and a Type II error in this setting. Which type of error could you have made in Exercise 75? Why?

(b) Explain two ways that the researchers could have increased the power of the test to detect .

One-sided test Suppose you carry out a significance test of H0:μ=5versus Ha:μ>5based on a sample of size n=20and obtain t=1.81.

(a) Find the P-value for this test using (i) Table Band (ii) your calculator. What conclusion would you draw at the 5%significance level? At the 1%significance level?

(b) Redo part (a) using an alternative hypothesis ofHa:μ5.

Attitudes In the study of older students’ attitudes from Exercise 63, the sample mean SSHA score was 125.7and the sample standard deviation was 29.8.

(a) Calculate the test statistic.

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Significance and sample size A study with 5000 subjects reported a result that was statistically significant at the 5% level. Explain why this result might not be particularly large or important.

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