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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 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'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 50 Hai Hg-Hy>0 OC. Ho: H₁-H2₂ 20 Hai Hg-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 ✓enough evidence at the 10% level of significance to support the researcher's claim. OB. Ho: H₁-H₂=0 Ha: H₁-₂0 OD. Ho: H₁-H₂ <0 H₂: 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 13 blue crabs from Location A contain a mean of 191 milligrams of fish and 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'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 50 Hai Hg-Hy>0 OC. Ho: H₁-H2₂ 20 Hai Hg-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 ✓enough evidence at the 10% level of significance to support the researcher's claim. OB. Ho: H₁-H₂=0 Ha: H₁-₂0 OD. Ho: H₁-H₂ <0 H₂: H1-H₂=0

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
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 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'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. A. Ho: H₁-H₂ ≤0 Hai H1-H2>0 C. Ho: H₁-H₂ 20 Hai 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. There enough evidence at the 10% level of significance to support the researcher's claim. B. Ho: H₁ H₂ = 0 Hai H- Hz #0 O D. Ho: H1-H2<0 Hai H1 - H2 = 0
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 13 blue crabs from Location A contain a mean of 191 milligrams of fish and 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'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. A. Ho: H₁-H₂ ≤0 Hai H1-H2>0 C. Ho: H₁-H₂ 20 Hai 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. There enough evidence at the 10% level of significance to support the researcher's claim. B. Ho: H₁ H₂ = 0 Hai H- Hz #0 O D. Ho: H1-H2<0 Hai H1 - H2 = 0
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