A random sample of 10 waiters in Weston, West Virginia, revealed the following hourly earnings, including tips: 19, 18, 15, 16, 18, 17, 16, 18, 20, and 14 . (Units are dollars.)
a. If the hourly earnings are normally distributed with a standard deviation of $4.50, estimate with 95% confidence the mean hourly earnings for all waitresses in Iowa City.
b. Interpret your confidence interval.
a. LCL = $14.31 and UCL = $19.89.
b. Based on my sample, I estimate that the mean hourly earnings is between $14.31 and $19.89 . I am 95% confident that in repeated sampling, the population parameter would fall in the resulting interval.
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