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 14 blue crabs from Location A contain a mean of 193 milligrams of fish and a standard deviation of 35 milligrams. The stomach contents of a sample of 7 blue crabs from Location B contain a mean of 188 milligrams of fish and a standard deviation of 44 milligrams. At a = 0.01, 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. OA. Ho: H₁-H₂=0 Ha Hi-H270 OC. Ho: H-H220 Ha: H1 H₂ <0 (b) Find the standardized test statistic for H₁ - H₂. 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 CO OB. Ho: H₁-H₂ 50 Ha: H1-H₂>0 OD. Ho: H-H2<0 Ha: H1 H₂=0
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 14 blue crabs from Location A contain a mean of 193 milligrams of fish and a standard deviation of 35 milligrams. The stomach contents of a sample of 7 blue crabs from Location B contain a mean of 188 milligrams of fish and a standard deviation of 44 milligrams. At a = 0.01, 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. OA. Ho: H₁-H₂=0 Ha Hi-H270 OC. Ho: H-H220 Ha: H1 H₂ <0 (b) Find the standardized test statistic for H₁ - H₂. 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 CO OB. Ho: H₁-H₂ 50 Ha: H1-H₂>0 OD. Ho: H-H2<0 Ha: H1 H₂=0
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 14 blue crabs from
Location A contain a mean of 193 milligrams of fish and a standard deviation of 35 milligrams. The stomach contents of a sample of 7 blue crabs from Location B contain a mean of 188 milligrams of
fish and a standard deviation of 44 milligrams. At α = 0.01, 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.
OA. Ho: H₁ H₂=0
на: 11 - 270
OC. Ho: H₁ H₂ 20
Ha: H1 H₂ <0
(b) Find the standardized test statistic for H₁ H2-
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.
Ho. There
OB. Ho: H1 H₂ 50
Hai H-H220
OD. Ho: H₁ H₂ <0
HaiH-H2=0
enough evidence at the 1% level of significance to support the researcher's claim.
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