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Chapter 9: Q. 63 (page 587)

Attitudes The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students鈥� attitudes toward school and study habits. Scores range from 0to200. The mean score for U.S. college students is about 115. A teacher suspects that

older students have better attitudes toward school. She gives the SSHA to an SRS of 45of the over 1000students at her college who are at least 30years of age. Check the conditions for carrying out a significance test of the teacher鈥檚 suspicion.

Short Answer

Expert verified

The teacher selected an SRS of 45students. 10%:45is less than 10%of the population size of 1000. Normal/Large Sample: n=45鈮�30

Step by step solution

01

Given information

Scores range from 0to200.

The mean score for U.S. college students is about 115.

A teacher suspects that older students have better attitudes toward school.

She gives the SSHA to an SRS of45of the over 1000students at her college who are at least 30years of age.

02

Explanation

The teacher wants to perform a test at the 伪=0.05 significance level of

HO:渭=115Ha:渭>115

where 渭=the mean SSHA score in the population of students at her college who are at least 30years old. Check if the conditions for performing the test are met.

The teacher selected an SRS of 45students.

10%:45is less than 10%of the population size of 1000.

Normal/Large Sample:n=45>30

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Most popular questions from this chapter

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

H0鈭�渭=0Ha:渭鈮�0

where 渭is 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=17andsx=60

Use Table B to find the P-value. What conclusion would you draw?

Refer to Exercise 2. For Yvonne's survey, 96 students in the sample said they rarely or never argue with friends. A significance test yields a P-value of 0.0291.

(a) Interpret this result in context.

(b) Do the data provide convincing evidence against the null hypothesis? Explain.

Asked to explain the meaning of 鈥渟tatistically significant at the A 0.05 level,鈥� a

student says, 鈥淭his means that the probability that the null hypothesis is true is less than 0.05.鈥� Is this explanation correct? Why or why not?

An SRS of 100 postal employees found that the average time these employees had worked at the postal service was 7years with standard deviation 2years. Do these data provide convincing evidence that the mean time of employment M for the population of postal employees has changed from the value of 7.5 that was true 20years ago? To determine this, we test the hypotheses H0:渭=7.5versus Ha:渭鈮�7.5using a one-sample ttest. What conclusion should we draw at the 5%significance level?

(a) There is convincing evidence that the mean time working with the postal service has changed.

(b) There is not convincing evidence that the mean time working with the postal service has changed.

(c) There is convincing evidence that the mean time working with the postal service is still 7.5 years.

(d) There is convincing evidence that the mean time working with the postal service is now 7years.

(e) We cannot draw a conclusion at the 5% significance level. The sample size is too small.

Do you have ESP? A researcher looking for evidence of extrasensory perception (ESP) tests 500subjects. Four of these subjects do significantly better P<0.01than random guessing.

(a) Is it proper to conclude that these four people have ESP? Explain your answer.

(b) What should the researcher now do to test whether any of these four subjects have ESP?
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