Question

here are summary statistics for the weights of pepsi in randomly selected cans: ( n = 36 ), ( overline{x}=0.82414 \text{lb} ), ( s = 0.00572 \text{lb} ). use a confidence level of ( 90% ) to complete parts (a) and (b) below.

b. write a brief statement that interprets the confidence interval. choose the correct answer below

( \bigcirc ) a. 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.

( \bigcirc ) b. approximately ( 90% ) of sample mean weights of pepsi in a can will fall between the lower bound and the upper bound.

( \bigcirc ) 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.

( \bigcirc ) d. one has ( 90% ) confidence that the interval from the lower bound to the upper bound contains the true value of

Explanation:

A confidence interval is not about the probability that the population mean falls within the interval (A is wrong as it implies a probability for the population mean). It's also not about sample means (B is wrong). And it's not stating the sample mean equals the population mean (C is wrong). The correct interpretation is that we have a certain level of confidence (in this case 90%) that the interval contains the true population parameter.

Answer:

D. One has 90% confidence that the interval from the lower bound to the upper bound contains the true value of