Question

Suppose we take sample from two separate populations and record some quantitative measurement for both.  The results of these samples are given in the following table:

Sample #1	34	5.4	6.4
Sample #2	31	7.4	8.79

Use this information to test the following hypotheses:

H₀:  = 0

H_a:  < 0

What is the test statistic, , for this example?  Note: for your test statistic, keep the order of (sample #1) minus (sample #2).

1. The test statistic is less than -2.0.
2. The test statistic is between -2.0 and -1.5.
3. The test statistic is between -1.5 and -1.0.
4. The test statistic is between -1.0 and -0.5.
5. The test statistic is between -0.5 and 0.

6. Using the information from the previous problem, which tail will you look at to find your p-value?

1. Left tail
2. Both tails
3. Right tail

7. Refer to the information in the previous two questions. Using the df and t-distribution calculator Excel spreadsheet, how many degrees of freedom will this test use?

1. 31.879
2. 42.199
3. 54.446
4. 67.012
5. 88.430

8. Using the information from the previous three questions, what is the p-value for this hypothesis test?

1. less than 0.01
2. between 0.01 and 0.02
3. between 0.02 and 0.03
4. between 0.03 and 0.05
5. greater than 0.05

Answer 1

5)The test statistic is between -1.5 and -1.0.

6)Left tail

7)degree of freedom =54.446

8) p value: greater than 0.05