Step 1: Understand the Question Sample Question: Of all the people you know on a personal basis, are the males the same age as the females? In other words, is the difference of these two means equal to zero? For this assignment, gather data in order to make inferences about , the difference of two population means (see Chapter 9 notes/text). The size of each sample must be at least 35.

Step 2: Collect, Process and Submit Data (submit via Blackboard only) Collect two columns (i.e. two variables) of data. For example, one for male ages and one for female ages. Based on the sample question above, name the first variable male Age and the second variable female Age in Minitab. Your data submission consists of two (vertical) columns of data, nothing else. I. The required minimum sample size is n = 35 for each sample. ii. Data can be collected in a variety of ways: social media, text message, etc. To the greatest extent possible, try to get a random or unbiased sample (see Ch. 1, Sampling Methods) of all the people you know. If that is not possible, it is OK for the purposes of this assignment. iii. The instructor will only consider data submitted via blackboard in the Data Collection Dropbox (not by email or any other method of delivery). Any data set with samples of size less than 35 will not be accepted, and the project grade will be zero. No late data or data submitted outside of Blackboard will be accepted. No extensions, no exceptions. iv. Upload and submit your data as an Excel spreadsheet [or workbook] to the Data Collection Dropbox in Blackboard. Save the worksheet in a folder where you will be able to locate and upload it to Blackboard. Step 3: The Assignment (submit via Blackboard only) Your final (MS Word or equivalent) project should be typed with the appropriate Minitab output/graphs placed in the required locations. The typed portion must look exactly like this Word document with your typed questions, responses and Minitab output following the questions. Use this assignment document as a template for your final write-up. Respond to each part (small Roman numerals) individually. Do not change the labels or question ordering. The Minitab command hints are for Minitab 21. A. Data Collection: I. How did you collect your data? (Example: I scrolled through my contact list and ask every third person until I had a sample of 35 male ages and 35 female ages.) ii. Was your sampling method potentially biased? Explain. B. Making a Formal Claim: i. Write the claim symbolically using appropriate notation (see the Question in Step 1). C. Testing the Claim: i. Write the two hypotheses corresponding to the claim. ii. Using Minitab (stat > basic statistics > 2-Sample t), perform the appropriate hypothesis test. Copy as picture and paste the full Minitab output of the hypothesis test here. Use = 0.05. (That is, set the confidence level to 0.95.) iii. Is the p-value high or low compared to ? iv. If the null hypothesis is true, find the probability of observing a random sample mean that is at least as extreme as your sample mean. v. State the decision regarding 0 . D. Conclusion: i. Write a one-sentence conclusion (in the usual format) to your hypothesis test. (Answer based on your decision. See lecture notes Section 9.2) ii. Are your results significant (with = 0.05)? iii. According to your results, is there a significant difference in age between the males and females that you know personally? E. Confidence Interval: i. The full Minitab output in Part C includes a confidence interval. Write a one-sentence interpretation of that confidence interval (in the usual formatsee lecture notes Section 9.2). ii. Find the best point estimate of the difference in mean ages of all the men and women that you know personally. F. Summary Remarks: i. Briefly summarize your results (in bullet-point format). ii. Did you discover anything surprising (in bullet-point format)?