Use the following information to complete steps (a) through (d) below.

A random sample of size n 1 equals 31

n1=31 results in a sample mean of 124.3

124.3 and a sample standard deviation of 8.5

8.5. An independent sample of size n 2 equals 50

n2=50 results in a sample mean of 131.8

131.8 and sample standard deviation of 7.3

7.3. Does this constitute sufficient evidence to conclude that the population means differ at the alpha equals 0.05

=0.05 level ofsignificance?

(a) What type of test should beused?

A.

A hypothesis test regarding the difference of two means using amatched-pairs design.

B.

A hypothesis test regarding two population standard deviations.

C.

A hypothesis test regarding the difference of two means usingWelch's approximate t.

Your answer is correct.

D.

A hypothesis test regarding the difference between two population proportions from independent samples.

(b) Determine the null and alternative hypotheses. Choose the correct answer below.

A.

Upper H 0 : mu 1 equals mu 2

H0:1=2; Upper H 1 : mu 1 not equals mu 2

H1:12

Your answer is correct.

B.

Upper H 0 : mu 1 equals mu 2

H0:1=2; Upper H 1 : mu 1 greater than mu 2

H1:1>2

C.

Upper H 0 : mu 1 less than or equals mu 2

H0:12; Upper H 1 : mu 1 not equals mu 2

H1:12

D.

Upper H 0 : mu 1 equals mu 2

H0:1=2; Upper H 1 : mu 1 less than or equals mu 2

H1:12

(c) Use technology to calculate theP-value.

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 124.3 and a sample standard deviation of 8.5. An independent sample of size n2 = 50 results in a sample mean of 131.8 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 a matched-pairs design. O B. A hypothesis test regarding two population standard deviations. C. A hypothesis test regarding the difference of two means using Welch's approximate t. O D. A hypothesis test regarding the difference between two population proportions from independent samples. (b) Determine the null and alternative hypotheses. Choose the correct answer below. YA. HO: H1 = H2: H1: My # H2 O B. HO: M1 = H2; H1: H1 >H2 OC. HO: My SH2; Hy: My # H2 OD. HO: M1 = H2; H1: My SH2 (c) Use technology to calculate the P-value. (Round to three decimal places as needed.)