STAT 101 Pierce College Calculating the Observed Statistic Questions

HYPOTHESIS TESTING USING ONE SAMPLE T-TEST

READ:

Conduct a one-sample t-test using SPSS for the following problems using the appropriate given data file by below by following these instructions:

Calculating the Observed Statistic

• Click on “Analyze”, select “Compare Means”, and click on “One Sample T-test.”
• Select variable (move it into the “Test Variables” field).
• In the field “Test Value,” the test value given for the problem (this is your null mean).
• Click on the “Options” button.
• Since we choose alpha = .05, we leave the value of 95 in the field “Confidence Interval” (under “Options”).
• Click on the “Continue” and “OK.”

COPY BOTH TABLES AND PASTE THEM UNDER STEP 3 FOR EACH RESPECTIVE PROBLEM

Assignment

In your answers, list clearly all 4 steps (this includes the discussion of what error you could have made), just as was done in the sample problem. Also include the output from the t-test analysis. Note that you will have to create a new data window to enter both the body temperature and sleep variable. The actual procedures for the analysis are virtually identical to the steps followed in the lab example.

• Mothers with young children often complain that they do not get enough sleep. Suppose that you obtained a measure of the typical amount of sleep of 9 mothers of children under 1 year of age and found the following duration (in hours): 6.4, 7.5, 6.9, 7.3, 7.6, 7.1, 6.5, 7.7, and 7.8
• A medical researcher attempted to learn if a disease is accompanied by an increased in body temperature. She measured the body temperature of 12 people diagnosed as having the disease and obtained the following temperatures (in degrees F): 99.3, 99.1, 100.4, 98.4, 98.2, 98.9, 99.7, 100.1, 100.7, 99.0, 98.8, 99.2.

Does the mean amount of sleep from these mothers differ significantly from a hypothesized population mean of 7.7 hours sleep per night? Use a two-tailed test and a 0.05 significance level

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Additional question: Could your decision about the statistical hypotheses represent the occurrence of a Type I error? Why or why not?

Does the mean body temperature of these individuals differ from a hypothesized population mean of 98.6 degree F? Use a two-tailed test and a 0.05 significance level

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Additional question: Could your decision regarding the statistical hypothesis represent a Type II error? Explain your answer.