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# Hypothesis Testing of Mean & Variance

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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