Here are summary statistics for the weights of Pepsi in randomly selected cans: n = 36, xĢ = 0.82408 lb, s = 0.00569 lb. Use a confidence level of 90% to complete parts (a) through (d) below.
a. Identify the critical value tα/2 used for finding the margin of error.
tα/2 =
(Round to two decimal places as needed.)
b. Find the margin of error.
E = lb
(Round to five decimal places as needed.)
c. Find the confidence interval estimate of μ.
lb < μ < lb
(Round to five decimal places as needed.)
d. Write a brief statement that interprets the confidence interval. Choose the correct answer below.
A. Approximately 90% of sample mean weights of Pepsi in a can will fall between the lower bound and the upper bound.
B. One has 90% confidence that the interval from the lower bound to the upper bound contains the true value of the population mean weight of Pepsi in a can.
C. One has 90% confidence that the sample mean weight of Pepsi in a can is equal to the population mean weight of Pepsi in a can.
D. There is a 90% chance that the true value of the population mean weight of Pepsi in a can will fall between the lower bound and the upper bound.