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Chapter 8: Q.92 (page 483)
Using the same p鈥� and level of confidence, suppose that n were increased to 100. Would the error bound become larger
or smaller? How do you know?
The error bound will become smaller.
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The Federal Election Commission collects information about campaign contributions and disbursements for
candidates and political committees each election cycle. During the campaign season, there were candidates for
the House of Representatives across the United States who received contributions from individuals. Table shows the
total receipts from individuals for a random selection of House candidates rounded to the nearest . The standard
deviation for this data to the nearest hundred is .
a. Find the point estimate for the population mean.
b. Using confidence, calculate the error bound.
c. Create aconfidence interval for the mean total individual contributions.
d. Interpret the confidence interval in the context of the problem.
Among various ethnic groups, the standard deviation of heights is known to be approximately three inches. We wish
to construct a 95% confidence interval for the mean height of male Swedes. Forty-eight male Swedes are surveyed. The
sample mean is 71 inches. The sample standard deviation is 2.8 inches.
a.
I. =________
ii. 蟽 =________
iii. n =________
b. In words, define the random variables X and X
c. Which distribution should you use for this problem? Explain your choice.
d. Construct a 95% confidence interval for the population mean height of male Swedes.
I. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
e. What will happen to the level of confidence obtained if 1,000 male Swedes are surveyed instead of 48? Why?
The 95% confidence interval is:__________________.
The population standard deviation for the height of high school basketball players is three inches. If we want to be % confident that the sample mean height is within one inch of the true population mean height, how many randomly selected students must be surveyed?
The mean age for all Foothill College students for a recent Fall term was . The population standard deviation has been pretty consistent at . Suppose that twenty-five Winter students were randomly selected. The mean age for the sample was . We are interested in the true mean age for Winter Foothill College students. Let the age of a Winter Foothill College student.
.
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