6. Multiple Choice. Cirele the best choice (10 points, 5 on this page and 5 on t

Question

6. Multiple Choice. Cirele the best choice (10 points, 5 on this page and 5 on the aest page) (a) Random samples of size n 100 were taken from normal populations. Which sample powits tbexnt the most evidence against Ho : -35 and in favor of the 2sidd alternative? (Hint: Ompute the t-test statistic for each sample i, 33 and s = 14 ii.Zi: 34 and 5-8 iii. Z = 36 and s 10 iv. Zit 37 and 8 = 25 (b) Lab 3: Let X be the number of free throws attempted by a particular professional baskethall player until the 2nd made free throw. Which family of distributious provides the best model for i. binomial ii. negative binonial iv. Poisson (e) If a judge decided to ignore all evidence and simply conclude "guilty" on all future criminal caes i, the probability of the type 1 and 11 errors are a-0 and 0. ii.the probability of the type 1 and 11 errors are -Oard = 1. iii. the probability of the type I and II errors are a = i and lv, the probability of the type I and II errors are a = 1 and 1. (d) Which of the following statements about p-value is fale? i. A p-value is the probability that Ho is true. ii. Small p-value is evidence against Ho ii. Large p-value is not necessarily evidence against HA iv. One rejects Ho at any significance level a bigger than p-value. (e) Lab 4: Baexd on the following normal probability plots of U.S. State Population (left) and State Crise rate (right) for the 50 U.S. States, what can be said? i. The histograms of variables Crime and Population would both look like a normal curve i. Only the histogram of variable Crine would look like a normal curve ii. Variables Crime and Population have a strong, positive, linear relationship. iv. Variables Crine and Population have a strong non-linear relationship Population 10 .2 Norma Quance

Explanation / Answer

a) first option is correct

since its Z score = 33-35/(14/10) = -1.43 is higher than other's Z score(two sided)

b) Negative binomial

since at 2nd throw, we expect success

c) First option is correct

since nothing is decided then both will be '0'. i.e Actual decision is not made

d) First option is correct

since p value means probability of H0 is rejected

e) Second option is correct

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