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Chapter 8: Q.34 (page 479)
Fill in the blanks on the graph with the areas, upper and lower limits of the confidence interval, and the sample mean.
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Using the same mean, standard deviation, and sample size, how would the error bound change if the confidence level were reduced to 90%? Why?
A sample of heads of lettuce was selected. Assume that the population distribution of head weight is normal. The weight of each head of lettuce was then recorded. The mean weight was pounds with a standard deviation of pounds. The population standard deviation is known to be pounds.
Identify the following:
a.
b.
C.
Construct a confidence interval for the population mean weight of newborn elephants. State the confidence interval, sketch the graph and calculate the error bound.
Which distribution should you use for this problem ?
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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