Use the following information to answer the questions below:

A paint manufacturer fills cans of paint using a machine that has been calibrated to fill the cans to contain an average of 1 gallon (128 ounces) each. To test whether their machine has come out of calibration and will tend to overfill the cans, the manufacturer takes a random sample of 100 cans and finds that they average 128.2 ounces with an standard deviation of 4 ounces. Is this strong evidence that the can-filling machine is set too high? We wish to carry out the appropriate hypothesis test.

39.

In this situation the null hypothesis is that:

the long run average is greater than 128.2.

the long run average equals 128.2.

the long run average is greater than 128.

the long run average equals 128. 40.

The standard error of the mean under the null hypothesis is:

4 ounces.

2 ounces.

0.4 ounces.

0.2 ounces.

41, T

he p-value for the significance test is:

16%

2%

31%

68% 42.

Suppose the p-value for the test is 0.21. We can then conclude

that the null hypothesis is a reasonable explanation of the data.

that the null hypothesis is a poor explanation of the data.

that the null hypothesis is true.

that the alternative hypotheses is true. 43.

In this situation, the alternative hypothesis is

one-tailed

two-tailed

more than two-tailed