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Chapter 8: Q 8.42 (page 330)

Suppose that you will be taking a random sample from a population and that you intend to find a 95%confidence interval for the population mean 渭. Which sample size, 25or30 , will result in the confidence interval giving a more accurate estimate of 渭?

Short Answer

Expert verified

Sample size of50will result in the confidence interval giving a more accurate estimate of渭.

Step by step solution

01

Given Information

Given confidence level is 95%for a sample taken randomly from population. Two sample size of25and50are given.

02

Explanation

We know that sample size is increased and confidence level is constant, in results in decrease in margin of error. Hence, accuracy of confidence level estimation is increased.

Therefore as per the given data, sample size of 50will result in the confidence interval giving a more accurate estimate of 渭when compared to that of sample size50.

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Most popular questions from this chapter

Find the confidence level and 鈭� for

a. 90%confidence interval.

b. 94%confidence interval.

Civilian Labor Force. Consider again the problem of estimating the mean age, 渭, of all people in the civilian labor force. In Example 8.7on page 328 , we found that a sample size of 2250 is required to have a margin of error of 0.5year and a 95% confidence level. Suppose that, due to financial constraints, the largest sample size possible is 900 . Determine the smallest margin of error, given that the confidence level is to be kept at 95%. Recall that蟽=12.1 years.

What is a confidence interval estimate of a parameter? Why is such an estimate superior to a point estimate?

Bicycle Commuting Times. A city planner working on bikeways designs a questionnaire to obtain information about local bicycle commuters. One of the questions asks how long it takes the rider to pedal from home to his or her destination. A sample of local bicycle commuters yields the following times, in minutes.

a. Find a 90%confidence interval for the mean commuting time of all local bicycle commuters in the city. (Note: The sample mean and sample standard deviation of the data are 25.82minutes and 7.71minutes, respectively.)

b. Interpret your result in part (a).

c. Graphical analyses of the data indicate that the time of 48min utes may be an outlier. Remove this potential outlier and repeat part (a). (Note: The sample mean and sample standard deviation of the abridged data are 24.76 and 6.05, respectively.)

d. Should you have used the procedure that you did in part (a)? Explain your answer.

A simple random sample is taken from a population and yields the following data for a variable of the population:

Find a point estimate for the population mean (i.e., the mean of the variable).
See all solutions

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