Aresearcher daims that the stomachs of blue crabs from Location A contain more fah than the stomachs of blue crabs trom Location B. The stomach contents of a sample of 17 blue crabs from Location Acontain a mean of 195 miligrams of fah and astandard deviation of 3mligrams. The stomach contents of a sample of9 blue crabs from Location Bcontain a mean of 189 miligrams of fah and a standard deviation o 43 milligrams A 0.05, can youpport the researcher's claim? Assume the population variances are equal. Complete parts (a through below (adentfy the nuland atermative hypotheses. Choose the comect anwer below OA 0 OR H OD H 0 DFind hestandardied test staste for •Round to three decimal places as needed) ) Calculate the Pvale P.ORond r decimal places an needed) (4) State the concusion H There enough evidence atthe S% level of signiicance to support the researcher's daim
Aresearcher daims that the stomachs of blue crabs from Location A contain more fah than the stomachs of blue crabs trom Location B. The stomach contents of a sample of 17 blue crabs from Location Acontain a mean of 195 miligrams of fah and astandard deviation of 3mligrams. The stomach contents of a sample of9 blue crabs from Location Bcontain a mean of 189 miligrams of fah and a standard deviation o 43 milligrams A 0.05, can youpport the researcher's claim? Assume the population variances are equal. Complete parts (a through below (adentfy the nuland atermative hypotheses. Choose the comect anwer below OA 0 OR H OD H 0 DFind hestandardied test staste for •Round to three decimal places as needed) ) Calculate the Pvale P.ORond r decimal places an needed) (4) State the concusion H There enough evidence atthe S% level of signiicance to support the researcher's daim
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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![A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 17 blue crabs from Location A contain a mean of 195 milligrams of fish and a standard deviation of 38 milligrams. The stomach contents of a sample of 9 blue crabs from Location B contain a mean of 189 milligrams of fish and a standard deviation of
43 milligrams. At a = 0.05, can you support the researcher's claim? Assume the population variances are equal. Complete parts (a) through (d) below.
(a) Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: H1 - H2 <0
Ha: H1 - H2 =0
O B. Ho: H1 - H2 = 0
Ha: H1 - H2 #0
Oc. Ho: H1 - H220
Ha: H1 - H2 <0
O D. Ho: H1 - H250
Ha: H1 - H2 >0
(b) Find the standardized test statistic for H1 -42.
t =
(Round to three decimal places as needed.)
(c) Calculate the P-value.
P=
(Round to four decimal places as needed.)
(d) State the conclusion.
V Ho. There
V enough evidence at the 5% level of significance to support the researcher's claim.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F67365948-39ab-434a-aacf-cd60e1ade7b5%2F3fd94a53-f628-4392-bb6d-67112fa621e2%2F9wmv1ag_processed.png&w=3840&q=75)
Transcribed Image Text:A researcher claims that the stomachs of blue crabs from Location A contain more fish than the stomachs of blue crabs from Location B. The stomach contents of a sample of 17 blue crabs from Location A contain a mean of 195 milligrams of fish and a standard deviation of 38 milligrams. The stomach contents of a sample of 9 blue crabs from Location B contain a mean of 189 milligrams of fish and a standard deviation of
43 milligrams. At a = 0.05, can you support the researcher's claim? Assume the population variances are equal. Complete parts (a) through (d) below.
(a) Identify the null and alternative hypotheses. Choose the correct answer below.
O A. Ho: H1 - H2 <0
Ha: H1 - H2 =0
O B. Ho: H1 - H2 = 0
Ha: H1 - H2 #0
Oc. Ho: H1 - H220
Ha: H1 - H2 <0
O D. Ho: H1 - H250
Ha: H1 - H2 >0
(b) Find the standardized test statistic for H1 -42.
t =
(Round to three decimal places as needed.)
(c) Calculate the P-value.
P=
(Round to four decimal places as needed.)
(d) State the conclusion.
V Ho. There
V enough evidence at the 5% level of significance to support the researcher's claim.
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