The manager of The Cheesecake Factory in Boston reports that
The manager of The Cheesecake Factory in Boston reports that on six randomly selected weekdays, the number of customers served was 285, 85, 160, 165, 65, and 250. She believes that the number of customers served on weekdays follows a normal distribution. Construct a 95% confidence interval for the average number of customers served on weekdays. (Round intermediate calculations to 4 decimal places, \"sample mean\" and \"sample standard deviation\" to 2 decimal places and \"t\" value to 3 decimal places, and final answers to 2 decimal places.)
| The manager of The Cheesecake Factory in Boston reports that on six randomly selected weekdays, the number of customers served was 285, 85, 160, 165, 65, and 250. She believes that the number of customers served on weekdays follows a normal distribution. Construct a 95% confidence interval for the average number of customers served on weekdays. (Round intermediate calculations to 4 decimal places, \"sample mean\" and \"sample standard deviation\" to 2 decimal places and \"t\" value to 3 decimal places, and final answers to 2 decimal places.) |
Solution
x 285 85 160 165 65 250 1010 Mean 168.3333 (x-xbar)^2 13611.12 6944.439 69.44389 11.11089 10677.77 6669.449889 37983.33 Variance 37983.33 Std dev 194.8931 Std error 87.15885 Margin of error 1.96*std error 170.8314 Confidence int lower bound -2.49802 Upper bound 339.1647