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In: Statistics and Probability

A hair salon reports that on seven randomly selected weekdays, the number of customers who visited...

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

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Expert Solution


orchestra answered 1 year ago
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