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HOMEWORK 1--GENDER AND ANXIETY--SPRING, 2012 Name________________________________ Due at time of Quiz 1. 1. Use spreadsheet << T12MEANS >> to conduct estimation and hypothesis testing on the population mean anxiety of college male and female statistics students. Assume that your data are random samples from the relevant populations. Data are in the “Class Data” file under Part I of Stats I. Data: Females (X) Anxiety scores of the FIRST EIGHT female students in section A, B, or C of Stats I—depending on which section of Stats II you are in. For example, If you are in section A of Stats II use section A of Stats I, etc. Males (Y) Anxiety scores of the FIRST ELEVEN male students in section A, B, or C of Stats I—depending on which section of Stats II you are in. For example, If you are in section B of Stats II use section B of Stats I, etc. Sample Size Sample Mean Estimated Population Standard Deviation Females (X) ________ ________ ________ Males (Y) ________ ________ ________ a. The point estimate of the population mean is: Females: Males: b. The sampling standard deviation (standard error) of the sample means is: Females: Males: c. The 95% confidence interval for the population mean is: d. (use “point estimate ± error factor” format, not LCL and UCL) Females: __________±__________ (c) (d) Males: __________±__________ (c) (d) Test the Ho that each population mean is 5.50 against the Ha that it is not 5.50. e. State the H0: Females: f. State the Ha: Females: Males: Males: g. Use alpha = 0.05. The tt, table-t, or critical value is: Females: Males: h. The tc, calculated-t or test statistic is: Females: i. Males: State the hypothesis-test conclusion for the two genders: Females: Males: j. Explain the conclusion “what to say and how to say it” : Females:_______________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ Males:_________________________________________________________________________ ______________________________________________________________________________ ______________________________________________________________________________ k. What is the p-value in this test? Females: Males: 2. Using the same data, conduct estimation and hypothesis testing on the difference between population means. a. The point estimate of the difference between population means is: b. The sampling standard deviation (standard error) of the differences between sample means is: c. The 95% confidence interval for the difference between population means is d. (use “point estimate ± error factor” format, not LCL and UCL): __________±__________ (c) (d) Test the H0 that the population means are equal against the Ha that they are not equal. e. State the H0: f. State the Ha: g. Use alpha = 0.05. The tt, table-t, or critical value is: h. The tc, calculated-t or test statistic is: i. State the hypothesis-test conclusion: j. Explain the conclusion “what to say and how to say it”: _________________________________ _____________________________________________________________________________ _____________________________________________________________________________ k. What is the p-value in this test? Print these two pages first, then fill in the answers by hand. ATTACH THE << T12MEANS >> SPREADSHEET. CIRCLE OR HIGHLIGHT, and LABEL with the item number (1a, 1b, etc.), EVERY SPREADSHEET VALUE that you have written above. The spreadsheet must be PRINTED ON ONE PAGE, AS LARGE AS POSSIBLE on the page. Do not print the instructions. Delete unused rows in the data table. Most Important: For practice, verify the spreadsheet results by calculator.