State the function in the calculator that you should use to run the appropriate hypothesis test (1-PropZtest, 2-PropZtest , T-test, 2-SampTTest)

1. A consumer advocacy group randomly samples and weighs 30 bags of wood pellets from a manufacturer that packages thousands of them daily. The mean weight of the sample is 19.9 pounds and the standard deviation is 0.105 pounds.The group wants to construct a 95% confidence interval to estimate the mean weight of all bags of wood pellets from this manufacturer.

A) How is this problem different than what we looked at in problem #1? What information is not given and how does that change the problem?

B) What are the degrees of freedom for this sample?

C) What is the multiplier used to calculate the margin of error?

DF 90% 95% 98% 99%

28 1.701 2.048 2.467 2.763

29 1.699 2.045 2.462 2.756

30 1.697 2.042 2.457 2.750

34 1.691 2.032 2.441 2.728

D) Calculate the margin of error for the 95% confidence interval.Round answer to 3 decimal places.

E) Write the 95% confidence interval to estimate the mean weight of all bags of this brand of wood pellets. Round values of the interval to 2 decimal places.

F) Is there evidence to reject the manufacturer's claim that the bags of wood pellets are 20 pounds? Explain.

G) Suppose that the confidence interval changes to 99% level of confidence.What will happen to the margin of error?

2. A random sample of 35 female college aged athletes showed a sample mean height of 63.3 inches and a sample standard deviation of 2.17 inches.The table below shows selectmultipliers to use to show desired confidence level (adjusting for degrees of freedom or DF).

DF 90% 95% 98% 99%

28 1.701 2.048 2.467 2.763

29 1.699 2.045 2.462 2.756

30 1.697 2.042 2.457 2.750

34 1.691 2.032 2.441 2.728

A. Find the margin of error for the 95% confidence interval.Round to 3 decimal places.

B. Construct the confidence interval by hand or by using your calculator. Explain what your confidence interval means in context.