# statistics 4

PROBLEM 1
Kathleen Vohs of the University of Minnesota and her coworkers carried out several randomized comparative experiments on the effects of thinking about money. Heres part of one such experiment. Ask student subject to unscramble 30 sets of five words to make a meaningful phrase from four of the five words. The control group unscrambled phrases like cold it desk outside is into it is cold outside. The treatment group unscrambled phrases that lead to thinking about money, turning high salary desk paying into a high-paying salary. Then each subject worked a hard puzzle, knowing that they could ask for help. Here are the times in seconds until subjects asked for help:

Treatment group:
609 444 242 198 174 55 251 466 443
531 135 241 476 482 362 69 160

Control group:
118 272 412 290 140 104 55 189 126
400 91 63 87 142 141 373 156

The researcher suspected that money is connected with self-sufficiency, so that the treatment group would ask for help less quickly on the average. Do the data support this idea? Use a 5% level of significance.

EXPECTATIONS
– Draw graphs and charts when appropriate and necessary to demonstrate your reasoning! Label all graphs and charts!
– Display formulas. Write complete sentences to summarize your conclusions.
– If use any table values, clearly state which tables you used (e.g. Table A-2, etc.).
-Attach excel output when appropriate or necessary (e.g. a scatterplot, etc.)

HYPOTHESIS TESTING QUESTIONS
Your work for all statistical hypothesis testing questions should include the following:
1. Established Ho and Ha.
2. Summary statistics (either computed or given in the problem)
3. The name of the test (e.g. 2sampleTtest or T-test about correlation, etc.)
4. A formula to compute a test statistic (e.g. 1Prop-Z test statistic, etc.)
5. A p-value of the test and/or a critical value from a statistical table.
6. Clearly state the decision rule you use the reach a conclusion. (You may have to sketch a graph to show rejection regions.) Do you Reject Ho or do you Fail to Reject Ho?
7. State your conclusion in plain language. Use complete sentences.

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