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Chapter 9: Q.107 (page 593)

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

Short Answer

Expert verified

All conditions have been satisfied.

Step by step solution

01

Step-1: Given Information 

we have to Check that the conditions are met for performing inference about the mean body temperature in the population of interest.

02

Step-2 Explanation

There are three conditions when a mean population significance test is performed: Random, Normal and Independent.

Random: Satisfied, since the sample given is a random sample.

Normal: Satisfied, as the sample size of 130is at least 30and therefore the distribution is about the standard.

Independent: Satisfied since the 130-sample size is less than 10percent of the size of the population. Therefore, it is observed that all three conditions have been met.

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Most popular questions from this chapter

A change is made that should improve student satisfaction with the parking situation at a local high school. Right now, 37% of students approve of the parking that’s provided. The null hypothesis H0:p>0.37is tested against the alternativeHa:p=0.37.

Taking stock An investor with a stock portfolio worth several hundred thousand dollars sued his broker due to the low returns he got from the portfolio at a time when the stock market did well overall. The investor’s lawyer wants to compare the broker’s performance against the market as a whole. He collects data on the broker’s returns for a random sample of36weeks. Over the 10-year period that the broker has managed portfolios, stocks in the Standard & Poor’s 500index gained an average of 0.95%per month. The Minitab output below displays descriptive statistics for these data, along

with the results of a significance test.

(a) Determine whether there are any outliers. Show your work.

(b) Interpret the P-value in context.

(c) Do these data give convincing evidence to support the lawyer’s case? Carry out a test to help you answer this question.

To determine the reliability of experts who interpret lie detector tests in criminal investigations, a random sample of 280such cases was studied. The results were

(a) 15/280.

(b) 9/280.

(c) 15/140.

(d) 9/140.

(e) 15/146.

After checking that conditions are met, you perform a significance test of H0:μ=1versus Hα:μ≠1. You obtain a Pvalue of 0.022. Which of the following is true?

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

(b) A 95%confidence interval forμwill include the value 0.

(c) A99% confidence interval forμwill include the value 1

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

(e) None of these is necessarily true.

A random sample of 100likely voters in a small city produced 59voters in favor of Candidate A. The observed value of the test statistic for testing the null hypothesis H0:p=0.5versus the alternative hypothesis Ha:p=0.5is

(a)z=0.59-0.50.59(0.41)100

(b). z=0.59-0.50.5(0.5)100

(c). z=0.5-0.590.59(0.41)100

(d). z=0.5-0.590.5(0.5)100

(e).t=0.59-0.50.5(0.5)100
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