Asample of 16 small bags of the same brand of candies was selected. assume that the population distribution of bag weights is normal. the weights of each bag was then recorded. the mean weight was two ounces with a standard deviation of 0.12 ounces. the population standard deviation is known to be 0.1 ounce. a. complete the following:

i. x =

ii. s =

iii. sx =

iv. n =

v. n 1 =

b. b. define the random variable x, in words.

c. c. construct a 90% confidence interval for the population average weight of all such candies.

i. which distribution will you choose? explain your choice.

ii. state the confidence interval.

d. d. construct a 98% confidence interval for the population average weight of the candies.

i. state the confidence interval.

e. e. in complete sentences, explain why the confidence interval in (d) is larger than the confidence interval in (c).

f. in complete sentences, give an interpretation of what the interval in (d) means.