Answer:
143.31 < µ < 176.69
Step-by-step explanation:
The manager wants a 90% confidence interval based on the data. We are given 6 weekdays of data. We have to do 3 things:
1. Calculate the mean number of customers
2. Calculate the standard deviation of the number of customers
3. Construct the confidence interval
*For #1 and #2, see attached photo 1 for the calculations...
The sample mean is: 160
The sample standard deviation is: 20.29
The t-value we need is found using the t-distribution chart, with 5 degrees of freedom. Our t-value is: 2.015
*See attached photo 2 for construction of the confidence interval