Question: 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
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 1100.6 cm3.
963
1026
1272
1080
1069
1172
1067
1346
1100
1203
What are thehypotheses?
A.
H0: 1100.6 cm3
Ha: =1100.6 cm3
B.
H0: =1100.6 cm3
Ha: 1100.6 cm3
C.
H0: =1100.6 cm3
Ha: <1100.6 cm3
D.
H0: =1100.6 cm3
Ha: 1100.6 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.
Failtoreject H0. There is insufficient evidence to warrant rejection of the claim that the population of brain volumes has a mean equal to 1100.6 cm3.
B.
Reject H0. There is insufficient evidence to warrant rejection of the claim that the population of brain volumes has a mean equal to 1100.6 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 1100.6 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 1100.6 cm3.
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