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Number 14 (evolution):

H0: μ = 24

Ha: μ ≠ 24

The mean is 25 (from Excel).

The stdev is 1.1952 (from Excel).

DF = n-1 = 7

The critical T values are: +/- 2.365

The test statistic is:

T = (25-24)/(1.1952/sqrt(8))

T = 2.3665

The test statistic is higher than the upper critical value, so we reject the null hypothesis and conclude that the mean is different from 24.

[pic] reject in the white area

Here, we determined the mean and standard deviation of the data, using Excel as a tool. Then we determined cutoffs that separate the outer 5% of data from the inner 95%. Finally, we determined the percentile of our experiment, and concluded that it was out of the range.

Number 14 (t tests):

A:

Independent, since they are two different sets of people

B:

Dependent, since it’s the same group of people being tested

C:

Independent, since they are two different sets of people

Number 23:

In this study, people were asked to do a personality test, but to do it from the point of view of four other people – their mother, father, friend, and professor. Once the results were tallied, a statistical test was performed to determine if there was a difference in perception in four categories (conformity, extroversion, maturity, and self-confidence) between the four people. Basically, we want to see if the study participants think that the four people see them in different ways.

The results for extroversion were not statistically significant, meaning the participants believe the four people seem them in the same way. The results for maturity and self-confidence were significant at the 0.05 level, meaning we can be pretty sure that the participants believe that at least one of the four people see them differently in these categories. Finally, the results for conformity were statistically significant at the 0.01 (strict) level, meaning we can be quite sure that the participants believe that at least one of the four people see them differently as far as conformity.

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