Question

Given that the volume of soda cans varies normally with a mean of 12.0 fluid ounces and a known standard deviation of 1.0 fluid ounces:

A. Find the probability of the mean volume of 16 soda cans to be between 11.5 and 12.5 fluid ounces.

B. Assuming that an eight-pack is rejected if the mean volume is in the bottom 7%, find this cut-off volume, ie. and upper-limit.

C. Construct a 94.2% confidence interval for the mean volume of 9 soda cans measured at Jake's Diner Emporium, given that the sample mean is 11.3.

Answer 1

Ans

A.

B.

z score for 7 percentile is -1.476

z = (x- mean)/ (stand dev/)

-1.476=(x-12)/(1/)

x = 11.48

C.