In: Statistics and Probability
A hair salon reports that on seven randomly selected weekdays, the number of customers who visited the salon were 78,31,42,43,51,32,and 31. It can be assumed that weekday customer visit follow a normal distribution.
a) construct the 90% confidence interval for the average number of customers who visit the salon on weekdays ( round intermediate calculations to at least 4 decimal places. Sample mean and sample standard deviation to 2 decimal places and t value to 3 decimals and final answer to 2 decimals)
b) construct the 99% confidence interval for the average numbers of customers who visit the salon on week days.( round intermediate calculations to at least 4 decimal places. Sample mean and sample standard deviation to 2 decimal places and t value to 3 decimals and final answer to 2 decimals)
c) what happens to the width of the interval as the confidence interval increases does it
-become wider and less precise
OR
narrower and less precise