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 13 blue crabs from Location A contain a mean of 191 milligrams of fishand a standard deviation of 36 milligrams. The stomach contents of a sample of 10 blue crabs from Location B contain a mean of 186 milligrams of fish and a standard deviation of 45 milligrams. At a = 0.10, can you support the researcher'sclaim? Assume the population variances are equal. Complete parts (a) through (d) below.(a) Identify the null and alternative hypotheses. Choose the correct answer below.A. Ho: H₁-H₂ ≤0Hai H1-H2>0C. Ho: H₁-H₂ 20Hai H1-H2 <0(b) Find the standardized test statistic for μ₁ −μ₂.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. Thereenough evidence at the 10% level of significance to support the researcher's claim.B. Ho: H₁ H₂ = 0Hai H- Hz #0O D. Ho: H1-H2<0Hai H1 - H2 = 0

Level of significant = 10% Here we use the two sample mean t test to solve this problem.

Answered: A researcher claims that the stomachs…

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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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 13 blue crabs from Location A contain a mean of 191 milligrams of fish and a standard deviation of 37 milligrams. The stomach contents of a sample of 7 blue crabs from Location B contain a mean of 185 milligrams of fish and a standard deviation of 41 milligrams. At α=0.10, can you support the researcher's claim? Assume the population variances are equal and that both samples are from normal populations. Complete parts (a) through (d) below. (a) Identify the null and alternative hypotheses. Choose the correct answer 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 (b) Calculate the test statistic t=? (Round to three decimal places as needed.) (c) Calculate the…
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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 13 blue crabs from Location A contain a mean of 191 milligrams of fish and a standard deviation of 38 milligrams. The stomach contents of a sample of 8 blue crabs from Location B contain a mean of 189 milligrams of fish and a standard deviation of 44 milligrams. At a = 0.10, can you support the researcher's claim? Assume the population variances are equal. Complete parts (a) through (d) below. t= 0.110 (Round to three decimal places as needed.) (c) Calculate the P-value. P=|| (Round to four decimal places as needed.)
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