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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 fro Location A contain a mean of 190 milligrams of fish and a standard deviation of 37 milligrams. The stomach contents of a sample of 11 blue crabs from Location B contain a mean of 186 milligm 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. (a) Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁-H₂ = 0 Hai Hy-H270 OC. Ho: H₁-H₂ <0 Hai Hy Hy = 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 20 Ha: H1-H₂ <0 OD. Hoi H-H250 Ha: H1 H₂>0 enough evidence at the 10% level of significance to support the researcher's claim.

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 fro Location A contain a mean of 190 milligrams of fish and a standard deviation of 37 milligrams. The stomach contents of a sample of 11 blue crabs from Location B contain a mean of 186 milligm 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. (a) Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H₁-H₂ = 0 Hai Hy-H270 OC. Ho: H₁-H₂ <0 Hai Hy Hy = 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 20 Ha: H1-H₂ <0 OD. Hoi H-H250 Ha: H1 H₂>0 enough evidence at the 10% level of significance to support the researcher's claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 3GP
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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 14 blue crabs from Location A contain a mean of 190 milligrams of fish and a standard deviation of 37 milligrams. The stomach contents of a sample of 11 blue crabs from Location B contain a mean of 186 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. (a) Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H1 - H₂ = 0 Ha: H1-H₂ #0 O C. Ho: H-Hz<0 Hai H-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 C... OB. Ho: H1-H₂ 20 Ha: H1 H₂ <0 OD. Ho: H-H250 Ha: H1-H₂>0 enough evidence at the 10% level of significance to support the researcher's claim.
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 190 milligrams of fish and a standard deviation of 37 milligrams. The stomach contents of a sample of 11 blue crabs from Location B contain a mean of 186 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. (a) Identify the null and alternative hypotheses. Choose the correct answer below. OA. Ho: H1 - H₂ = 0 Ha: H1-H₂ #0 O C. Ho: H-Hz<0 Hai H-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 C... OB. Ho: H1-H₂ 20 Ha: H1 H₂ <0 OD. Ho: H-H250 Ha: H1-H₂>0 enough evidence at the 10% level of significance to support the researcher's claim.
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