Assume that a simple random sample has been selected and test the given claim. Identify the null and alternativehypotheses, teststatistic, P-value, and state the final conclusion that addresses the original claim.

Listed below are brain volumes in cm3 of unrelated subjects used in a study. Use a 0.01 significance level to test the claim that the population of brain volumes has a mean equal to 1099.7 cm3.

964

1027

1271

1079

1070

1174

1067

1346

1099

1203

What are thehypotheses?

A.

H0: 1099.7 cm3

Ha: =1099.7 cm3

B.

H0: =1099.7 cm3

Ha: <1099.7 cm3

C.

H0: =1099.7 cm3

Ha: 1099.7 cm3

D.

H0: =1099.7 cm3

Ha: 1099.7 cm3

Identify the test statistic.

t=

nothing

(Round to three decimal places asneeded.)

Identify theP-value.

TheP-value is

nothing

. (Round to four decimal places asneeded.)

State the final conclusion that addresses the original claim. Choose the correct answer below.

A.

Reject H0. There is insufficient evidence to warrant rejection of the claim that the population of brain volumes has a mean equal to 1099.7 cm3.

B.

Failtoreject H0. There is insufficient evidence to warrant rejection of the claim that the population of brain volumes has a mean equal to 1099.7 cm3.

C.

Reject H0. There is sufficient evidence to warrant rejection of the claim that the population of brain volumes has a mean equal to 1099.7 cm3.

D.

Failtoreject H0. There is sufficient evidence to warrant rejection of the claim that the population of brain volumes has a mean equal to 1099.7 cm3.