# Hypothesis Testing of Mean & Variance

1. The following data are from an independent-measures experiment comparing two treatment conditions. Do these data indicate a significant difference between the treatments

Treatment one:

13

9

7

11

Treatment two:

9

5

5

9

2. A sample of freshmen takes a reading comprehension test and their scores are summarized below. If the mean for the general population on this test is m=12, can you conclude that this sample is significantly different from the population. Test with a=.05

sample scores: 16, 8, 8, 6, 9, 11, 13, 9, 10

3. The following data are from two separate samples. Does it appear that these two samples came from the sample or from two different populations?

a. Use an F-max test to determine whether there is evidence for a significant difference between the two population variances. Use the .05 level of significance

b. Use an independent-measures t test to determine whether there is evidence for a significant difference between the two population means. Again, use a=.05

Sample one:

n=10

M=32

SS=890

Sample two:

n=10

M=18

SS=550

4. A research study reports t(14)=2.17.

a. How many individuals participated in the study? (how big was the sample?)

b. Is this t statistic sufficient to reject the null hypothesis using a two-tailed test with a = .05?

5. The following data were obtained from an independent measures study. Determine if there us a significant difference between the treatments. Use a =.05

Treatment one:

5

1

2

3

4

Treatment two:

6

10

14

12

18

Please show all work. Thank you

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#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.