The Basic Practice of Statistics
The Basic Practice of Statistics
7th Edition
ISBN: 9781464142536
Author: David S. Moore, William I. Notz, Michael A. Fligner
Publisher: W. H. Freeman
Question
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Chapter 24, Problem 24.1TY
To determine

To find: The 95% confidence interval for the mean blood pressure in the population from which the subjects were recruited.

Expert Solution & Answer
Check Mark

Answer to Problem 24.1TY

Option (c): (111.2, 118.6).

Explanation of Solution

Reason for the correct option:

Software procedure:

Step by step procedure to obtain the confidence interval using the MINITAB software:

  • Choose Stat > Basic Statistics > 1-Sample t.
  • In Summarized data, enter the sample size as 27 and mean as 114.9.
  • In Standard deviation, enter the value as 9.3.
  • Check Options, enter Confidence level as 95.0.
  • Choose not equal in alternative.
  • Click OK in all dialogue boxes.

Output using the MINITAB software is given below:

The Basic Practice of Statistics, Chapter 24, Problem 24.1TY

Thus, the 95% confidence interval for the mean blood pressure in the population from which the subjects were recruited is (111.2, 118.6).

Reason for the incorrect answer:

Option (a), Option (b) and Option (d) are incorrect, because the corresponding confidence intervals cannot be obtained from the formula of the confidence interval for the one-sample t procedures.

Therefore, the correct option is (b).

Statistics Concept Introduction

Introduction:

The formula for the confidence interval is,

x¯±t*sn

Where, x¯ is the sample mean, s is the sample standard deviation, n is the sample size and t* is the critical value.

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Chapter 24 Solutions

The Basic Practice of Statistics

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