Choose the answers from a,b,c &d also please explain step wise.

1) A revenue department is under orders to reduce the time small business owners spend filling out pension form ABC-5500. Previously the average time spent on the form was 6.3 hours. In order to test whether the time to fill out the form has been reduced, a sample of 53 small business owners who annually complete the form was randomly chosen, and their completion times recorded. The mean completion time for ABC-5500 form was 6.1 hours with a standard deviation of 2.6 hours. In order to test that the time to complete the form has been reduced, state the appropriate null and alternative hypotheses.

a. H0: ? = 6.3 Ha: ?

b. H0: ? = 6.3 Ha: ? > 6.3

c. H0: ? = 6.3 Ha: ? ? 6.3

d. H0: ? > 6.3 Ha: ?

2) The owner of Get-A-Away Travel has recently surveyed a random sample of 480 customers to determine whether the mean age of the agency's customers is over 28. The appropriate hypotheses are H0: ? = 28, Ha: ? > 28. If he concludes the mean age is over 28 when it is not, he makes a __________ error. If he concludes the mean age is not over 28 when it is, he makes a __________ error.

a. Type I; Type II

b. Type II; Type II

c. Type I; Type I

d. Type II; Type I

3) Consider a test of H0: ? = 10. For the following case, give the rejection region for the test in terms of the z-statistic: Ha: ? > 10, ? = 0.01

a. z > 2.33

b. z > 2.05

c. |z| > 2.575

d. |z| > 2.33

4) How many tissues should a package of tissues contain? Researchers have determined that a person uses an average of 69 tissues during a cold. Suppose a random sample of 2500 people yielded the following data on the number of tissues used during a cold: x = 60, s = 16. Suppose the corresponding test statistic falls in the rejection region at ? = .05. What is the correct conclusion?

a. At ? = .05, reject H0.

b. At ? = .10, reject H0.

c. At ? = .05, accept Ha.

d. At ? = .10, reject Ha

5) A bottling company produces bottles that hold 10 ounces of liquid. Periodically, the company gets complaints that their bottles are not holding enough liquid. To test this claim, the bottling company randomly samples 49 bottles and finds the average amount of liquid held by the bottles is 9.9155 ounces with a standard deviation of 0.35 ounce. Suppose the p-value of this test is 0.0455. State the proper conclusion.

a. At ? = 0.05, reject the null hypothesis.

b. At ? = 0.035, accept the null hypothesis.

c. At ? = 0.085, fail to reject the null hypothesis.

d. At ? = 0.025, reject the null hypothesis.

6) A large university is interested in learning about the average time it takes students to drive to campus. The university sampled 238 students and asked each to provide the amount of time they spent traveling to campus. This variable, travel time, was then used to create confidence interval and to conduct a test of hypothesis, both of which are shown in the printout below

One-Sample Z Test

Null Hypothesis: ? = 20

Alternative Hyp: ? > 20

Cases Included 238

95% Conf Interval