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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 36 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 41 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. B. H s0 OA. Ho: H -H =0 H -0 OD. Ha - <0 H -2 0 OC. Ho: -H, 20 (b) Find the standardized test statistic for , t=0.260 (Round to three decimal places as needed.) (c) Calculate the P-value. P (Round to four decimal places as needed.)

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 36 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 41 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. B. H s0 OA. Ho: H -H =0 H -0 OD. Ha - <0 H -2 0 OC. Ho: -H, 20 (b) Find the standardized test statistic for , t=0.260 (Round to three decimal places as needed.) (c) Calculate the P-value. P (Round to four decimal places as needed.)

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 14 blue crabs from Location A contain a mean of 190 milligrams of fish and a standard deviation of 36 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 41 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: H -H2 =0 H: 4-2 0 B. Ho: H- so OC. Ho: H -H 20 H:-2 <0 OD. Ha: -H, <0 0= Z1 - rl:"H (b) Find the standardized test statistic for u, -2- t= 0.260 (Round to three decimal places as needed.) (c) Calculate the P-value. P= (Round to four decimal places as needed.)
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 36 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 41 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: H -H2 =0 H: 4-2 0 B. Ho: H- so OC. Ho: H -H 20 H:-2 <0 OD. Ha: -H, <0 0= Z1 - rl:"H (b) Find the standardized test statistic for u, -2- t= 0.260 (Round to three decimal places as needed.) (c) Calculate the P-value. P= (Round to four decimal places as needed.)
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