Question 1-5 multiple choice please select ALL correct answers.

Question 1 (1 point) Consider two samples from two normal populations: 24 25 24 25 23 27 23 28 27 25 and 21 17 21 22 14 14 21 26 21 26 23 21 Suppose we wish to test H0 v.1 - v.2 = 3 against Ha v.1 - v.2 > 3. Select the following correct choices: C] a) not reject H0 at (x = 0.03. O b) not reject H0 at or = 0.02. D c) reject H0 at o: = 0.05. C] d) reject H0 at o: = 0.02. C] e) not reject H0 at (x = 0.05. D f) reject H0 at 0: = 0.03. V Hide hint for Question 1 t_03=2.150, 1202:2398, df=9 Question 2 (1 point) Consider two samples from two normal populations: 24 25 24 25 23 27 23 28 27 25 and 21 17 21 22 14 14 21 26 21 26 23 21 Suppose we wish to test H0 p1 - p12 = 4 against Ha l11 - [12 at 4 and assume the variances are the same for both samples. Select all of the correct choices. [:1 t = 0.3876 0 not reject H0 at or = 0.05. Cde=2o C] reject H0 at o: = 0.05. Odf=16 C] t = 0.4132 Question 3 (1 point) Suppose we want to test Ho: p. = 50 against Ha: u > 50, at a significance level of (X = 0.0505 based on a random sample of 40. What is the probability of accepting the null hypothesis when in fact [1 = 52 (type II error) and s = 7. Please choose the best answer. 0 a) 0.0049 0 b) 0.0643 0 c) 0.1867 0 d) 0.3192 0 e) 0.4325 Question 4 (1 point) Consider two samples from two normal populations: 24 25 24 25 23 27 23 28 27 25 and 21 17 21 22 14 14 21 26 21 26 23 21 Suppose we wish to test H0 H1 - [12 = 8 against Ha p11 - p12 as 8 using the degrees of freedom (Note 7.9 of text): 2 2 83+s' K\": n: (si/mf + (aim) 1111 n21 df= This is sometimes referred to as the Welch test. Select the following correct choices: [3 a) reject H0 at o: = 0.05. C] b) t = -2.7859 C] c) df = 20 C] d) df =16 D e) t = -2.6133 D f) not reject H0 at o: = 0.05. Question 5 (1 point) Consider two samples from two normal populations: 24 25 24 25 23 27 23 28 27 25 and 21 17 21 22 14 14 21 26 21 26 23 21 Suppose we wish to test H0 H1 - H2 = 6.75 against Ha l-l1 - I12 at 6.75. Select the following correct choices: C] a) reject H0 at or = 0.07. C] b) reject H0 at on = 0.10. C] c) reject H0 at or = 0.05. D d) not reject H0 at or = 0.07. C] e) not reject H0 at a = 0.05. O f) not reject H0 at (x = 0.10. 7 Hide hint for Question 5 t_035=2.055, (\"=9 Question 6 (1 point) Suppose we want to test H0: u = 80 against Ha: u as 80, at a significance level