Identify the shape of the sampling distributions of the following: (Distribution of the number of D1’s of ALL students at Fisher High School is skewed right and Math SAT Scores are normally distributed) a) Average number of D1’s for a sample of 15 students at Fisher High School b) Average number of D1’s for a sample of 30 students at Fisher High School. c) Average math SAT score for a sample of 15 students at Fisher High School

Suppose that the number of classes and the class width of a certain distribution is 8 and 3.5, respectively. If the largest data value in this distribution is 35, what would be the smallest data value?

38. Parking lots A survey of autos parked in student and staff lots at a large university classified the brands by country of origin, as seen in the table. Driver Student Staff American 107 33 105 European Asian 12 55 47 (T a) What percent of all the cars surveyed were foreign? b) What percent of the American cars were owned by students? c) What percent of the students owned American cars? d) What is the marginal distribution of origin? e) What are the conditional distributions of origin by driver classification? D Do you think that the origin of the car is independent of the type of driver? Explain. Origin

25) Refer to the figure below. A ssume that all the distributions are symmetric (i.e. the sample mean and median are approximately equal) and that all the samples sizes are the same. Imagine carrying out two ANOVAS. The first ANOVA compares the means based on samples A, B, and C (left of the vertical line), and the second ANOVA compares the means based on samples X, Y, and Z (right of the vertical line). One of the calculated values of the F-statistic is 0.92 and the other is 33.54. Which value is which, and why? Data in HER2 on inv breast aloo sals imme e to 60 50 Che 30 20 10 A Group A) 33.54 goes with A, B, and C; 0.92 goes with X, Y, and Z. The F-statistic for A, B, and C is larger because the variation within groups is smaller relative to the variation between groups. B) 33.54 goes with A, B, and C;0.92 goes with X, Y, and Z. The F-statistic for A, B, and C is larger because the variation between groups is smaller relative to the variation within groups. C) 0.92 goes with A, B,…