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Use the MEN's heights from your RCCC sample data to answer the following questions. The population standard deviation for heights for U.S. men is 3". We will assume that this is also the standard deviation for the population of RCCC men.
Suppose that next year we again will collect data and will want to estimate the mean height of the entire male RCCC student body. The minimum sample size we need to take depends on what confidence level and margin of error we specify. (Show all work and write the answers in the blanks provided.)
a. We would need to sample a minimum of male RCCC students to be 97% confident that the sample mean we get is within ¼ inch of the true mean.
b. We would need to sample a minimum of ________ male RCCC students to be 97% confident that the sample mean is within ½ inch of the true mean.
c. We would need to sample a minimum of ________ male RCCC students to be 93% confident that the sample mean is within ½ inch of the true mean.
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