A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs fr
Posted: Mon Jul 11, 2022 11:48 am
A researcher claims that the stomachs of blue crabs fromLocation A contain more fish than the stomachs of blue crabs fromLocation B. The stomach contents of a sample of 16 bluecrabs from Location A contain a mean of 195 milligrams offish and a standard deviation of 38 milligrams. Thestomach contents of a sample of 9blue crabs from Location Bcontain a mean of 188 milligrams of fish and a standarddeviation of 41 milligrams. At α=0.05, can yousupport the researcher's claim? Assume the populationvariances are equal. Complete parts (a) through (d)below.
A.
H0:
μ1−μ2<0
Ha:
μ1−μ2=0
B.
H0:
μ1−μ2≥0
Ha:
μ1−μ2<0
C.
H0:
μ1−μ2≤0
Ha:
μ1−μ2>0
D.
H0:
μ1−μ2=0
Ha:
μ1−μ2≠0
Part 2
(b) Find the standardized test statistic for
μ1−μ2.
t=enter your response here
(Round to three decimal places as needed.)
Part 3
(c) Calculate the P-value.
P=enter your response here
(Round to four decimal places as needed.)
Part 4
(d) State the conclusion.
▼
Reject
Fail to reject
H0.
There
▼
is not
is
enough evidence at the 5%
level of significance to support the researcher'sclaim.
A.
H0:
μ1−μ2<0
Ha:
μ1−μ2=0
B.
H0:
μ1−μ2≥0
Ha:
μ1−μ2<0
C.
H0:
μ1−μ2≤0
Ha:
μ1−μ2>0
D.
H0:
μ1−μ2=0
Ha:
μ1−μ2≠0
Part 2
(b) Find the standardized test statistic for
μ1−μ2.
t=enter your response here
(Round to three decimal places as needed.)
Part 3
(c) Calculate the P-value.
P=enter your response here
(Round to four decimal places as needed.)
Part 4
(d) State the conclusion.
▼
Reject
Fail to reject
H0.
There
▼
is not
is
enough evidence at the 5%
level of significance to support the researcher'sclaim.