Answer Happy

Random samples of resting heart rates are taken from two groups. Population 1 exercises regularly, and Population 2 does not. The data from these two samples is given below: Population 1: 69, 66, 72, 72, 69, 71, 68 Population 2: 74, 73, 76, 69, 70, 72, 79, 71 Is there evidence, at an a = 0.05 level of significance, to conclude that there those who exercise regularly have lower resting heart rates? (Assume that the population variances are equal.) Carry out an appropriate hypothesis test, filling in the information requested. A. The value of the standardized test statistic: Note: For the next part, your answer should use interval notation. An answer of the form (-∞o, a) is expressed (-infty, a), an answer of the form (b, 0o) is expressed (b, infty), and an answer of the form (-∞o, a) U (b, ∞o) is expressed (-infty, a)U(b. infty). B. The rejection region for the standardized rest statistic: C. The p-value is

In the Super-Mega lottery there are 50 numbers (1 to 50), a player chooses ten different numbers and hopes that these get drawn. If the player's numbers get drawn, he/she wins an obscene amount of money. The table below displays the frequency with which classes of numbers are chosen (not drawn). These numbers came from a sample of 200 chosen numbers. 1 to 10 (b) Find the critical value. Chosen Numbers (n = 200) 11 to 20 21 to 30 31 to 40 41 to 50 52 Count 44 36 24 44 Test the claim that chosen numbers are not evenly distributed across the five classes. Test this claim at the 0.05 significance level. (a) Find the test statistic.

A student wants to see if the correct answers to multiple choice problems are evenly distributed. She heard a rumor that if you don't know the answer, you should always pick C. In a sample of 83 multiple-choice questions from prior tests and quizzes, the distribution of correct answers are given in the table below. In all of these questions, there were four options [A, B, C, D). Correct Answers (n=83) A B C D Count 21 20 10 32 Test the claim that correct answers for all multiple-choice questions are not evenly distributed. Test this claim at the 0.05 significance level. (a) Find the test statistic. (b) Find the critical value.