1) Suppose that you are to conduct the following hypothesis test:

H0: = 530

H1: 530

Assume that you know that =80, n=44, x=499.7283, and take =0.005. Draw the sampling distribution, and use it to determine each of the following:

A. The value of the test statistic:

__________________________________

B. The p-value is ________________

C. Your decision for the hypothesis test: A. Reject H1. B. Reject H0. C. Do Not Reject H0. D. Do Not Reject H1.

2) Suppose that we are to conduct the following hypothesis test:

H0: 35

H1: < 35

Suppose is known, and sampling lead to a test statistic of zc=2.27

The p-value is ____________

For =0.005, what would be the decision for the hypothesis test? A. There is enough evidence to support the claim that 35 B. There is not enough evidence to support the claim that 35 C. There is not enough evidence to support the claim that <35 D. There is enough evidence to support the claim that <35

3) Golf-course designers have become concerned that old courses are becoming obsolete since new technology has given golfers the ability to hit the ball so far. Designers, therefore, have proposed that new golf courses need to be built expecting that the average golfer can hit the ball more than 230 yards on average. Based off of collected information, the standard deviation of all driving distances is 44.1 yards. A random sample of 119 golfers had a mean driving distance of 236.6299yards.

Conduct a hypothesis test where H0:230 and H1:>230 by computing the following: (a) test statistic ____________ (b) p-value p= _______________ (c) If this was a two-tailed test, then the p-value is _________________

4) Suppose that you are to conduct the following hypothesis test:

H0: = 28.5

H1: 28.5

Assume that you know that =4, n=41, x=26.9570. Determine each of the following:

A. The value of the test statistic:

__________________________________

B. The p-value is approximately

__________________________________

5) The hypothesis test

H0: 57.4

H1: < 57.4 is to be carried out for a population where is known. A random sample of 34 yields x=55.6 and the test statistic is found to be z=0.709169825048752. What is the standard deviation of the population?

= ______________________

6) The hypothesis test

H0: 84.4

H1: > 84.4 is to be carried out for a population where is known to be 21.9. A random sample of 29 yields the test statistic of z=0.442616285517904. What was the mean of the sample?

x = _______________

7) Suppose that we are to conduct the following hypothesis test:

H0: 800

H1: > 800

Suppose that you also know that for n=16, x=900.7975 and s=230. Take =0.01. Determine each of the following:

A. The value of the test statistic:

__________________________________

B. The p-value is _______________

C. Your decision for the hypothesis test: A. Do Not Reject H0. B. Do Not Reject H1. C. Reject H0. D. Reject H1.

8) Suppose that you are to conduct the following hypothesis test:

H0: 8

H1: > 8

A sample of 22 was found to have a mean of 8.9 and a standard deviation of 1.8. Determine each of the following:

The value of the test statistic:

________________________________

For = 0.01, the final conclusion is

A. There is enough evidence to say that 8 B. There is not enough evidence to say that 8 C. There is not enough evidence to say that >8. D. There is enough evidence to say that >8

9) Suppose that we are to conduct the following hypothesis test:

H0: = 133

H1: 133

Suppose is not known. Taking a sample of 11 lead to a test statistic of tc=4.143

The p-value is _________________

For =0.01, what would be the decision for the hypothesis test? A. Reject H1. B. Do Not Reject H0. C. Do Not Reject H1. D. Reject H0.

10) The hypothesis test

H0: = 189.4

H1: 189.4 is to be carried out for a population where is not known. A random sample of 27 has a mean of 192 and yields the test statistic of tc=0.91905. What was the standard deviation of the sample?

s = _____________________