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 123.3

123.3 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 130.8

130.8 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 between two population proportions from independent samples.

D.

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

(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 greater than mu 2

H1:1>2

B.

Upper H 0 : mu 1 equals mu 2

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

H1:12

C.

Upper H 0 : mu 1 equals mu 2

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

H1:12

D.

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

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

H1:12

(c) Use technology to calculate theP-value.

nothing

(Round to three decimal places asneeded.)

(d) Draw a conclusion based on the hypothesis test. Choose the correct answer below.