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Chapter 8: Q.59 (page 481)
In one complete sentence, explain what the interval means.
The interval means is between colors and colors.
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The average height of young adult males has a normal distribution with a standard deviation of 2.5 inches. You want to estimate the mean height of students at your college or university to within one inch with 93 per cent confidence. How many male students must you measure?
Six different national brands of chocolate chip cookies were randomly selected at the supermarket. The grams of fat per serving are as follows: . Assume the underlying distribution is approximately normal.
a. Construct a confidence interval for the population mean grams of fat per serving of chocolate chip cookies
sold in supermarkets.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
b. If you wanted a smaller error bound while keeping the same level of confidence, what should have been changed in the study before it was done?
c. Go to the store and record the grams of fat per serving of six brands of chocolate chip cookies.
d. Calculate the mean.
e. Is the mean within the interval you calculated in part a? Did you expect it to be? Why or why not?
How much area is in both tails (combined)?
Define the random variable in words.
A random survey of enrollment at 35 community colleges across the United States yielded the following figures:
6,414; 1,550; 2,109; 9,350; 21,828; 4,300; 5,944; 5,722; 2,825; 2,044; 5,481; 5,200; 5,853; 2,750; 10,012; 6,357; 27,000;
9,414; 7,681; 3,200; 17,500; 9,200; 7,380; 18,314; 6,557; 13,713; 17,768; 7,493; 2,771; 2,861; 1,263; 7,285; 28,165; 5,080;
11,622. Assume the underlying population is normal.
a. i. = __________
ii. sx = __________
iii. n = __________
iv. n 鈥� 1 = __________
b. Define the random variables X and in words.
c. Which distribution should you use for this problem? Explain your choice.
d. Construct a 95% confidence interval for the population mean enrollment at community colleges in the United
States.
i. State the confidence interval.
ii. Sketch the graph.
iii. Calculate the error bound.
e. What will happen to the error bound and confidence interval if 500 community colleges were surveyed? Why?
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