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11.4.3-T Question Help 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 n, =50 results in a sample mean of 130.8 and sample standard deviation of 7.3. Does this constitute sufficient evidence to conclude that the population means differ at the a = 0.05 level of significance? (a) What type of test should be used? O A. A hypothesis test regarding the difference of two means using Welch's approximate t. O B. A hypothesis test regarding two population standard deviations. O C. A hypothesis test regarding the difference between two population proportions from independent samples. O D. 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. O A. Ho: H1 = H2; Hy: H1 S H2 O B. Ho: H1 = H2: H1: H1 > H2 O C. Ho: H1 S H2: H1: H1 # H2 OD. Ho: H1 = H2; H1: 141 # H2 (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. O D. There is sufficient evidence to reject the null hypothesis because the P-value > a