Bag has 5 blue and 20 green beads. You select 6 beads at random, without replacement. For each blue bead selected, you get $5. For each green bead you are charged $1. Let G be your net gain. Compute the following: (i) P(G=12) (ii) E(G) (iii) V(G)

For each problem, write which test you used in your calculator, draw the graph, calculate p-value, and write your conclusion in a complete sentence. Types of Tests: 2 sample mean t, 2 sample mean z, 2 sample proportion z, difference between means t 2. As students move away to go to college, studies show that they gain an average of 15 pounds during their freshman year when they move out of their parent’s house into a dorm or apartment. This phenomenon is known as “the freshman fifteen.” A study is conducted on a SRS of 11 freshman who moved out of their parent’s house for the first time to attend college. The study participants agreed to be weighed at the beginning and end of their freshman year. Does there appear to be enough evidence from the sample of 11 students to show that students, on average, gain weight during their freshman year? Use a = .01 and assume that both sets of data are normally distributed. Subject 1 2 3 4 5 6 7 8 9 10 11 Weight at beginning of freshman year 175 151…

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