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Chapter 8: Q.2 (page 524)

The weights (in pounds) of three adult males are 160,215and195. The standard error of the mean of these three weights is

(a) 190

(b) 27.84

(c) 22.73

(d) 16.07

(e)13.13

Short Answer

Expert verified

(e) The standard error of mean is13.13

Step by step solution

01

Step-1 Given Information

Given In the question that , The weights of three adult males are 160,215,and195we have to find the correct option.

02

Step-2 Explanation

The formula to compute the standard error of mean is:

StandarderrorMean=蟽n

The values of mean and standard deviation using Ti-83 calculator could be calculated as:

From the above output, the standard deviation =22.73and sample size =3

The standard error of the mean is calculated as follows:

StandarderrorMean=蟽n

localid="1649222387632" =22.733

=13.13

Hence, the correct option is (e)

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Most popular questions from this chapter

Researchers were interested in comparing two methods for estimating tire wear. The first method used the amount of weight lost by a tire. The second method used the amount of wear in the grooves of the tire. A random sample of 16tires was obtained. Both methods were used to estimate the total distance traveled by each tire. The table below provides the two estimates (in thousands of miles) for each tire.

(a) Construct and interpret a 95%confidence interval for the mean difference 渭in the estimates from these two methods in the population of tires.

(b) Does your interval in part (a) give convincing evidence of a difference in the two methods of estimating tire wear? Justify your answer.

role="math" localid="1649913699288" TireWeightGrooveTireWeightGroove145.935.7930.423.1241.939.21027.323.7337.531.11120.420.9433.428.11224.516.1531.024.01320.919.9630.528.71418.915.2730.925.91513.711.5831.923.31611.411.2

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65. Critical value What critical valuet*from Table Bwould you use for a 99%confidence interval for the population mean based on an SRS of size 58? If possible, use technology to find a more accurate value of t*. What advantage does the more accurate dfprovide?

1. In the company鈥檚 prior-year survey, 80% of customers surveyed said they were 鈥渟atisfied鈥� or 鈥渧ery satisfied.鈥� Using this value as a guess for p藛, find the sample size needed for a margin of error of 3% at a 95% confidence level.

What if the company president demands 99% confidence instead? Determine how this would affect your answer to Question 1.
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