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    Strayer,Phoniex,
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Category > Math Posted 13 Aug 2017 My Price 8.00

CAT (Cognitive Ability Test)

A sleep center hypothesizes that people who sleep only four hours will score lower than people who sleep for eight hours on a cognitive skills test. The center recruited 20 participants and split them into two groups. The following morning, the CAT (Cognitive Ability Test) was conducted, with scores ranging from 1-9, 9 being the best score. Use this information to answer questions 5-9.

CAT Scores

Group X: Eight Hours of Sleep 4 7 9 4 3 3 8 6 3 7

Group Y: Four Hours of Sleep 7 8 1 4 2 3 5 2 7 4

 

1.     Calculate the mean and standard deviation of the scores for each group.

2.     Using the correct degrees of freedom (df = n + n - # of groups), the correct number of tails, and with for a 90% Confidence Level, determine the critical value of t.

3.     Calculate the pooled variance (formula for S2 is onpage 379) for the groups. Explain under which scenarios using a pooled variance be inadvisable.

4.     Calculate the test statistic, Ttest (formula for t is on page 380).

5.     The sleep center's statistician tells you that the p-value for the test is 0.1535. Summarize the result of the study. Compare the mean scores in each group. Compare the test statistic to the critical value. Compare the p-value to alpha. Do you find a statistically significant difference between Group X and Group Y on cognitive test performance? Explain your decision. 

 

I'm having a lot of trouble regarding T-Tests, can anyone please help?

Answers

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Status NEW Posted 13 Aug 2017 01:08 PM My Price 8.00

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