Question

Use the following information to complete steps (a) through (d) below. A random sample of size n = 31 results in a sample mean of 123.3 and a sample standard deviation of 8.5. An independent sample of size n2 = 50 results in a sample mean of 129.8 and sample standard deviation of 7.3. Does this constitute sufficient evidence to conclude that the population means differ at the x = 0.005 level of significance? (a) What type of test should be used? OA. A hypothesis test regarding the difference between two population proportions from independent samples OB. A hypothesis test regarding the difference of two means using Welch's approximatet. C. A hypothesis test regarding two population standard deviations. OD. A hypothesis test regarding the difference of two means using a matched-pairs design. (b) Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho:4H2H4:41*H2 OB. Hy:12 = H2; HH SH2 OC. Ho H15M2: Hy: H+H2 OD. M: H2H HH2 (c) Use technology to calculate the P-value (Round to three decimal places as needed.) (d) Draw a conclusion based on the hypothesis test. Choose the correct answer below. O A. There is sufficient evidence to reject the null hypothesis because the P-value <a B. There is sufficient evidence to reject the null hypothesis because the P-value >a. C. There is not sufficient evidence to reject the null hypothesis because the P-value <a. D. There is not sufficient evidence to reject the null hypothesis because the P-value > a.

Answer 1

n =8) X = 123.8 81=8-5 n2 = 50 X2= 129.8 $2= 7.3 x = 0.005 9) b) A hypothesis test regarding difference of two mean using Heich's appso xi matet 6) A. HOE 11 = 112 Hic e11 & 12 c ) to= 80-82 312 +52² ni n2 to =-305270 pralice = 0.0004 20.005 d) A. There is sufficient evidence to reject null hypothesis because pvalue