A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in fall has a mean length of 106 millimeters and a standard deviation of 15 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length of 97 millimeters and a standard deviation of 11 millimeters. At a = 0.01, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha Which is the correct claim below? OA. "The mean length of mature female pink seaperch is different in fall and winter." OB. "The mean length of mature female pink seaperch is greater in the fall than in the winter." OC. "The mean length of mature female pink seaperch is greater in the winter than in the fall." OD. "The mean length of mature female pink seaperch is the same in fall and winter."

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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 B.) Find the critical? value(s) and identify the rejection? region(s).

C.) Find the standardized test statistic.

D.) Decide whether to reject or fail to reject the null hypothesis.

E.) Interpret the decision in the context of the original claim.

A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in fall has a mean length of 106 millimeters and a standard
deviation of 15 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length of 97 millimeters and a standard deviation of 11 millimeters. At α = 0.01, can you support the marine biologist's
claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below.
(a) Identify the claim and state Ho and Ha
Which is the correct claim below?
A. "The mean length of mature female pink seaperch is different in fall and winter."
B. "The mean length of mature female pink seaperch is greater in the fall than in the winter."
C. "The mean length of mature female pink seaperch is greater in the winter than in the fall."
D. "The mean length of mature female pink seaperch is the same in fall and winter."
Transcribed Image Text:A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in fall has a mean length of 106 millimeters and a standard deviation of 15 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length of 97 millimeters and a standard deviation of 11 millimeters. At α = 0.01, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha Which is the correct claim below? A. "The mean length of mature female pink seaperch is different in fall and winter." B. "The mean length of mature female pink seaperch is greater in the fall than in the winter." C. "The mean length of mature female pink seaperch is greater in the winter than in the fall." D. "The mean length of mature female pink seaperch is the same in fall and winter."
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