# T-test and Chi-Square

Work through a t-test to compare the means of two groups of data. One possible example is to compare the tenure of females to the tenure of males. Ensure that you begin by stating the null and alternative hypotheses. Your final answer should point out if the null is confirmed or rejected and why. Please show as much work as possible.

Work through a chi-square test to compare the expected and observed frequencies of two groups within our Unit 1 data set. One possible example is to compare the actual number of female and male participants in the data set. Ensure that you begin by stating the null and alternative hypotheses. Your final answer should point out if the null is confirmed or rejected and why. Please show as much work as possible.

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#### Solution Preview

Please see response attached for best formatting (Posting 57844_.doc) (also presented below), including one supporting example. I hope this helps and take care.

FROM ATTACHED RESPONSE:

1. t-test example

Problem: Sam Sleepresearcher hypothesizes that people who are allowed to sleep for only four hours will score significantly lower than people who are allowed to sleep for eight hours on a cognitive skills test. He brings sixteen participants into his sleep lab and randomly assigns them to one of two groups. In one group he has participants sleep for eight hours and in the other group he has them sleep for four. The next morning he administers the SCAT (Sam's Cognitive Ability Test) to all participants. (Scores on the SCAT range from 1-9 with high ...

#### Solution Summary

By illustrative examples, this solution provides a step-by-step process of the t-test and chi-square. Supplemented with other examples and discussion of chi-square.