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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’ 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’s 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≥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 α=0.05 significance level of

HO:μ=115Ha:μ>115

where μ=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

Refer to Exercise 79. Construct and interpret a 95%confidence interval for the population mean M. What additional information does the confidence interval provide .

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:μ=7.5versus Ha:μ≠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.

Normal body temperature (8.3) Check that the conditions are met for performing inference about the mean body temperature in the population of interest.

Bottles of a popular cola are supposed to contain 300milliliters (ml) of cola. There is some variation from bottle to bottle because the filling machinery is not perfectly precise. From experience, the distribution of the contents is approximately Normal. An inspector measures the contents of six randomly selected bottles from a single day’s production. The results are 299.4297.7301.0298.9300.2297.0Do these data provide convincing evidence that the mean amount of cola in all the bottles filled that day differs from the target value of 300ml? Carry out an appropriate test to support your answer

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