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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 193 milligrams of fish and a standard deviation d milligrams. The stomach contents of a sample of 11 blue crabs from Location B contain a mean of 185 milligrams of fish and a standard deviation of 43 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 H₂-20 H₂-20 O.C. H₂ #₁-1250 H₂-₂>D (b) Find the calculated value of the test statistic for ₁₂ Round to three decimal places as needed) (c) Calculate the P-value. P=(Round to four decimal places as needed) (d) State the conclusion H₂ There enough evidence at the 10% level of significance to support the researcher's claim OB. Ho ₁₂ =0 OD. Ho H₁₂<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 193 milligrams of fish and a standard deviation d milligrams. The stomach contents of a sample of 11 blue crabs from Location B contain a mean of 185 milligrams of fish and a standard deviation of 43 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 H₂-20 H₂-20 O.C. H₂ #₁-1250 H₂-₂>D (b) Find the calculated value of the test statistic for ₁₂ Round to three decimal places as needed) (c) Calculate the P-value. P=(Round to four decimal places as needed) (d) State the conclusion H₂ There enough evidence at the 10% level of significance to support the researcher's claim OB. Ho ₁₂ =0 OD. Ho H₁₂<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 193 milligrams of fish and a standard deviation of 38 milligrams. The stomach contents of a sample of 11 blue crabs from Location B contain a mean of 185 milligrams of fish and a standard deviation of 43 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. Ho₂20 H₂- H1-H₂ <0 OC. Ho≤0 H₂-12 0 (b) Find the calculated value of the test statistic for μ-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 1-2 0 OD. Ho H1 H2 < 0 Ha 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 193 milligrams of fish and a standard deviation of 38 milligrams. The stomach contents of a sample of 11 blue crabs from Location B contain a mean of 185 milligrams of fish and a standard deviation of 43 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. Ho₂20 H₂- H1-H₂ <0 OC. Ho≤0 H₂-12 0 (b) Find the calculated value of the test statistic for μ-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 1-2 0 OD. Ho H1 H2 < 0 Ha H1 H2=0
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