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MA 150 Project Assignment 2 Your dataset includes body temperature measurements for 15 randomly selected people when they were instructed to concentrate on being hot and when they were instructed to concentrate on being cold

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MA 150 Project Assignment 2

Your dataset includes body temperature measurements for 15 randomly selected people when they were instructed to concentrate on being hot and when they were instructed to concentrate on being cold. The temperature measurements are in the bodyTemp variable, and the hot/cold treatment values are in the thinkingOf variable.

Write in paragraph form a response to each of these in a Word document. Include the output (from SPSS) requested and incorporate them into the write-up. Do not simply copy and paste all of the SPSS output into your report. You will notice most of it is meaningless code. Please do not include this into the written report. Pick out the charts and tables requested and reference them in your written arguments.

For your dataset, complete the following.

1. (Ch. 8) Determine a 95% confidence interval for the population mean body temperature of each treatment (Hot v. Cold). Discuss any overlap in your confidence interval and what that implies about the amount of evidence for a difference in the population means.

2. (Ch. 9) Perform a hypothesis test at the 5% significance level for the population mean of each treatment. Test the following against the null hypothesis H0: mu = 98.6 a. Ha: muC < 98.6 b. Ha: muH > 98.6 You don’t need to do the six-step procedure. If you set it up correctly, SPSS should just report the P-value. You just need to know how to interpret the P-value. You do not need to do any calculations yourself. Note that the P-values (reported as Sig) from SPSS are always two-tailed. SPSS only ever tests for a difference; it is up to you to convert these to the appropriate one-tailed P-value. Think about your test statistic and how the calculated two-tailed P-value relates to your one-tailed P-value.

3. (Ch. 10) Perform a hypothesis test at the 1% significance level against the null hypothesis H0: mu1 = mu2 for the population means being equal between both groups. Use “Hot” for population 1 and “Cold” for population 2. Assume that the variances are equal, and so only use the top row of the output table from SPSS. Do one test for each of the following alternative hypotheses.

a. Ha: mu1 ≠ mu2. b. Ha: mu1 > mu2.

4. Summarize your findings. Based on your results, do you think that thinking about hot/cold can raise or lower one’s body temperature? Explain. Be sure to use the P-values in your arguments.