A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 14 mature female pink seaperch collected in fall has a mean length of 116 millimeters and a standard deviation of 12 millimeters. A sample of 13 mature female pink seaperch collected in winter has a mean length of 98 millimeters and a standard deviation of 8 millimeters. At α=0.10, can you support the marinebiologist'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 marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 14 mature female pink seaperch collected in fall has a mean length of 116 millimeters and a standard deviation of 12 millimeters. A sample of 13 mature female pink seaperch collected in winter has a mean length of 98 millimeters and a standard deviation of 8 millimeters. At α=0.10, can you support the marinebiologist'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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 14 mature female pink seaperch collected in fall has a mean length of 116 millimeters and a standard deviation of 12 millimeters. A sample of 13 mature female pink seaperch collected in winter has a mean length of 98 millimeters and a standard deviation of 8 millimeters. At α=0.10, can you support the marinebiologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are
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 14 mature female pink seaperch collected in fall has a mean length of 116 millimeters and a
standard deviation of 12 millimeters. A sample of 13 mature female pink seaperch collected in winter has a mean length of 98 millimeters and a standard deviation of 8 millimeters. At a = 0.10, 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?
O A. "The mean length of mature female pink seaperch is greater in the fall than in the winter."
O B. "The mean length of mature female pink seaperch is different in fall and winter."
OC. "The mean length of mature female pink seaperch is the same in fall and winter."
D. "The mean length of mature female pink seaperch is greater in the winter than in the fall."
What are Ho and Ha?
The null hypothesis, Ho, is
V The alternative hypothesis, Ha, is
Which hypothesis is the claim?
The null hypothesis, Ho
The alternative hypothesis, Ha
(b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below.
(Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
Select the correct rejection region(s) below.
O A. t> to
O B. t< - to, t>to
O C. t< - to
O D. - to <t<to
(c) Find the standardized test statistic.
t=
(Type an integer or decimal rounded to three decimal places as needed.)
(d) Decide whether to reject or fail to reject the null hypothesis.
the null hypothesis.
(e) Interpret the decision in the context of the original claim.
At the 10% significance level,
V enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall and winter.
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