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
- 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
- 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?
- 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?