The manager of the Cheesecake Factory in Boston reports that on six randomly sel

Question

The manager of the Cheesecake Factory in Boston reports that on six randomly selected weekdays, the number of customers served was 160, 165, 140, 265, 120 and 50. She believes that the number of customers served on weekdays follows normal distribution. Construct the 90% confidence interval for the average number of customers served on weekdays. Use Table 2: http://lectures.mhhe.com/connect/0078020557/Table/table2.jpg

(Round intermediate calculations to 4 decimal places, "sample mean" and "sample standard deviation" to 2 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.)

Explanation / Answer

here mean of above observations sample mean =150

std deviation =70.07

hence std error=std deviaiton/(n)1/2 where n=6

=28.61

for 90% CI and 5 degree of freedom ; t=2.015

hence confidence interval =sample mean -/+ t*Std error =92.36 ; 207.64

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