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Chapter 8: Q.115 (page 489)

Use the following information to answer the next two exercises: A quality control specialist for a restaurant chain takes a random sample of size 12 to check the amount of soda served in the 16 oz. serving size. The sample mean is 13.30 with a sample standard deviation of 1.55. Assume the underlying population is normally distributed.

115. Find the 95% Confidence Interval for the true population mean for the amount of soda served.

a. (12.42, 14.18)

b. (12.32, 14.29)

c. (12.50, 14.10)

d. Impossible to determine

Short Answer

Expert verified

The correct option is (b) (12.32, 14.29)

Step by step solution

01

Introduction

A confidence interval shows the likelihood that a boundary will fall between a couple of values around the mean.

02

Explanation

The sample mean of the soda served in16oz is13.30

role="math" localid="1650862672328" x-=13.30

s=1.55, which is a sample of standard deviation

Number of samples taken n=12

The 95% Confidence Interval for the true population mean for the amount of soda served is (12.315,14.285)

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Using the same mean, standard deviation, and sample size, how would the error bound change if the confidence level were reduced to 90%? Why?
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