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Chapter 8: Q 8.48 (page 331)

Explain the effect on the margin of error and hence the effect on the accuracy of estimating a population mean by a sample mean.

Decreasing the sample size while keeping the same confidence level.

Short Answer

Expert verified

Accuracy to estimate the population mean is decreased.

Step by step solution

01

Given Information

It is given that sample size is decreased and confidence level is same.

02

Explanation

When the sample size is decreased and confidence level remains unchanged, then it results in increase in margin of error.

Therefore corresponding accuracy for the estimation of population mean using sample mean is decreased.

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Most popular questions from this chapter

For a fixed confidence level, show that (approximately) quadrupling the sample size is necessary to halve the margin of error. (Hint: Use Formula 8.2.)

Suppose that you have obtained data by taking a random sample from a population. Before performing a statistical inference, what should you do?

Find the confidence level and 伪for

a. 85%confidence interval.

b. 95%confidence interval

Prices of New Mobile Homes. Recall that a simple random sample of 36 new mobile homes yielded the prices, in thousands of dollars, shown in Table 8.1on page 315 . We found the mean of those prices to be \(63.28thousand.

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b. Compare your 95%confidence interval in part (a) to the one found in Example 8.2(c) on page 317 and explain any discrepancy that you observe.

Forearm Length. In 1903, K. Pearson and A. Lee published the paper "On the Laws of Inheritance in Man. I. Inheritance of Physical Characters" (Biometrika, Vol. 2, Pp. 357-462). The article examined and presented data on forearm length, in inches, for a sample of 140 men, which we have provided on the Weiss Stats site. Use the technology of your choice to do the following.

a. Obtain a normal probability plot, boxplot, and histogram of the data.

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