1) Below are random samples of enrollments for medical schools that specialize in research and for those that specialize in primary care. Is there a difference in the average enrollment for the two specializations? Use a significance level of a = 0.05. Research 474 577 605 783 467 670 414 813 443 565 696 277 419 884 663 692 694 Primary Care 783 605 427 728 546 474 371 107 442 587 293 277 662 555 527 320 a) Give the name of the hypothesis test that would be appropriate for this situation. b) State the hypotheses in symbols. ( c) Use your calculator to perform the appropriate hypothesis test and report the test statistic and p-value. Do not make these calculations by hand. Instead, use the correct command in your graphing calculator and write out what you entered. d) Write a full conclusion for this test in the context of the problem.

A hypertension trial is mounted and 12 participants are randomly assigned to receive either a new treatment or a placebo.  Each participant takes the assigned medication and their systolic blood pressure (SBP) is recorded after 6 months on the assigned treatment.  The data are as follows.   Placebo New Treatment 132 114 143 119 148 121 144 124 155 126 160 128  Is there a difference in mean SBP between treatments? Run the test at a 5% level of significance. Give each of the following to receive full credit : 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic ; and 5) your conclusion including a comparison to alpha or the critical value. You MUST show your work to receive full credit. Partial credit is available.

A hypertension trial is mounted, and 12 participants are randomly assigned to receive either a new medication or a placebo. Each participant takes the assigned medication, and the participants’ SBP is recorded after 6 months on the assigned medication. The data are shown in Table 7–9. Is there a difference in mean SBP between treatments? Run the appropriate test at a = 0.05. Placebo New Medication 134 114 143 117 148 121 142 124 150 122 160 128

A source table has the following information: Three treatment conditions with a sample of n =7 participants in each treatment. You know SS(BW) = 20 and MS(WI) = 2. What is the missing value for MS(BW)? Answer choices: 40, 10, 2, 5 You have an ANOVA source table with the following information: Three treatment groups with a sample of n = 10 participants in each treatment. You also know the SS(BW) =20 and F = 5.00. What is the missing value for SS(Total)? Answer choices: 74, 54, 30, 22 For an experiment involving 2 levels of factor A and 3 levels of factor B with a sample of n = 5 in each treatment condition, what is the value for df(WI)? Answer choices: 30, 29, 24, 20

The age of first marriage for women who responded to a survey by the CDC between 2006 and 2010 is used here. The women who first married in their twenties were randomly divided into three groups: A, B, and C. The ANOVA output is supplied below: Count NAS (Missings) 3773 group Count A 1288 B 1246 C 1239 Frequency Source DF 2 group Residual 3770 28 26 24 Response Variable (age) Summary Mean 22 20 T 0 Group Variable Summary NAS Mean (Missings) 23.73787 A 0 23.76941 0 23.77929 0 23.66344 ANOVA Table: age-group Sum of Squares 10.283 26969 Mean Square Std. Dev. Std. Dev. 2.674442 B F Value Pr>F MSG 0.71875 0.48743 MSE Age of First Marriage in 20's 2.728097 2.664101 2.628699 C

A random sample of 13 men and 19 women in a college class reported their grade point averages (GPAS). A woman in the class says that she believes that college women tend to have higher GPAS than do college men. Does this sample support her claim? Histogram of HGPA Histogram al WGPA 13 20 25 10 as 125 Summary statistics for these data are: 2.898 0.583 Women 3.330 | 0.395 Men What is the test statistic? [Enter t score to 2 decimal places] * Your answer Create and interpret a 95% confidence interval. Enter the low value of confidence interval to four decimal places. Your answer Enter the high value of confidence interval to four decimal places. Your answer