## A researcher compares two groups of dachshunds on measures of ground clearance after putting one set on a reduced calorie diet for 10 weeks while the other’s remained on their normal diet.

### statistics

##### Description

For the following set of data calculate a t-test to see if the two groups are significantly different. Assume a two-tailed test with the probability of a Type 1 error at p=.05. (This means that the one tailed significance will be .025). Show your work.

Group     Cootiescore

boys     4.00

boys     6.00

boys     8.00

boys     4.00

boys     6.00

boys     8.00

girls     3.00

girls     4.00

girls     5.00

girls     3.00

girls     4.00

girls     5.00

1.  For the following set of data calculate a matched-pairs t-test to see if the two groups of siblings are significantly different on the Cootie Score. Assume a two-tailed test with the probability of a Type 1 error at p=.05. (This means that the one tailed significance will be .025). Show your work. Use the data in the Brother and Sister columns.

Familyid      Brother    Sister

1.00              4.00        3.00

2.00              6.00        4.00

3.00             8.00         5.00

4.00             4.00         3.00

5.00              6.00        4.00

6.00             8.00         5.00

1. A researcher compares two groups of dachshunds on measures of ground clearance after putting one set on a reduced calorie diet for 10 weeks while the other’s remained on their normal diet. There were 10 dogs in each group and the t-statistic was 2.25. If our criteria for significance was p<.05, was there a significant difference between the two sets of dogs?

1. Because the t-statistics is a ratio of difference over variability, a bigger t-statistic means that the difference is less likely to be due to chance. We are interested in determining if two groups of counselors differ significantly on a measure of empathy. There are 15 counselors in each group and our criteria for significance is .01. What t-statistic (or above) would indicate that the two groups of counselors were different?

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