An article in the National Geographic News argues that Americans are increasing skipping on their sleep. A researcher in a small Midwestern town wants to estimate the mean weekday sleep time of its adult residents. He takes a random sample of 80 adult residents and records their weekday mean sleep time as 6.4 hours. Assume that the population standard deviation is fairly stable at 1.8 hours.
a. What is the margin of error for a 95% confidence interval for the population mean weekday sleep time of all adult residents of this Midwestern town?
b. What is the 95% confidence interval for the population mean weekday sleep time of all adult residents of this Midwestern town?
c. What is the 86% confidence interval for the population mean weekday sleep time of all adult residents of this Midwestern town?
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