A sample of 16 small bags of the same brand of candies was selected. Assume that the population distribution of bag weights is normal. The weight 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.

i. x=________

ii. =________

iii. sx =________

b. , define the random variable X.

c. define the random variable X.

d. Which distribution should you use for this problem?

e. Construct a 90% confidence interval for the population mean weight of the candies.

Suppose that a committee is studying whether or not there is waste of time in our judicial system. It is interested in the mean amount of time individuals waste at the courthouse waiting to be called for jury duty. The committee randomly surveyed 81 people who recently served as jurors. The sample mean wait time was eight hours with a sample standard deviation of four hours.

a.

i. x= __________

ii. sx = __________

iii. n = __________

iv. n - 1 = __________

b. Define the random variables X and Xin words.

c. Which distribution should you use for this problem?

d. Construct a 95% confidence interval for the population mean time wasted.