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Chapter 9: Q.3 (page 546)

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 0 to 200. 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 45

of the over 1000 students at her college who are at least 30 years of age.

Short Answer

Expert verified

Population mean for the student is115as per null hypothesis and it is more than115as per alternative hypothesis.

Step by step solution

01

introduction

Given,

Scores range from 0-200.

The mean score for U.S. college students is about115.

Calculating the null and alternative hypotheses.

02

explanation

The mean score for U.S. college students is115

Mean population value is115as per the null hypotheses

鈬�H0:渭=115

Mean population value is greater than 115as per the alternative hypotheses

鈬�Ha:渭>115

The population mean for the student is 115 as per null hypothesis and it is more than115 as per alternative hypothesis.

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Most popular questions from this chapter

A test of H0:p=0.65against Ha:p<0.65has test statistic z = -1.78.

(a) What conclusion would you draw at the 5% significance level? At the 1% level?

(b) If the alternative hypothesis were H0:p=0.65, what conclusion would you draw at the 5% significance level? At the 1% level?

A college professor suspects that students at his school are getting less than 8 hours of sleep a night, on average. To test his belief, the professor asks a random sample of 28 students, 鈥淗ow much sleep did you get last night?鈥� Here are the data (in hours): 96868866.56794345611636610784.5977

Do these data provide convincing evidence in support of the professor鈥檚 suspicion? Carry out a significance test at the a=0.05level to help answer this question.

You are testing HO:渭=10H伪:渭<10against based on an SRS of 20observations from a Normal population. The tstatistic is . t=-2.25The P-value

(a) falls between 0.01and0.02

(b) falls between0.02and0.04

(c) falls between0.04and0.05

(d) falls between .05and0.25.

(c) is greater than0.25.

After checking that conditions are met, you perform a significance test of H0:渭=1versus H伪:渭鈮�1. You obtain a Pvalue of 0.022. Which of the following is true?

(a) A95%confidence interval for 渭will include the value 1

(b) A 95%confidence interval for渭will include the value 0.

(c) A99% confidence interval for渭will include the value 1

(d) A 99%confidence interval for 渭will include the value 0

(e) None of these is necessarily true.

The most important condition for sound conclusions from statistical inference is that

(a) the data come from a well-designed random sample or randomized experiment

(b) the population distribution be exactly Normal.

(c) the data contain no outliers.

(d) the sample size be no more than 10%of the population size.

(c) the sample size be at least 30.
See all solutions

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