. A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 26 mature female pink seaperch collected in fall has a mean length of 127 millimeters and a standard deviation of 14 millimeters. A sample of 31 mature female pink seaperch collected in winter has a mean length of 117 millimeters and a standard deviation of 9 millimeters. The distribution of lengths of female pink seaperchs is normally distributed in both seasons. At a = 0.01, can you support the marine biologist's claim? Assume the population variances are equal.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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For each hypothesis test you complete, please answer questions (a)
through (i) listed below.
(a) What conditions should you check first before you con-
duct the hypothesis test?
(b) Write the null and alternative hypotheses.
(c) What type of test are you doing: right-tailed, left-tailed
or two-tailed?
(d) What formula should be used for the test statistic?
(e) What number is the test statistic equal to?
(f) Sketch a graph of the p-value
(g) What p-value do you obtain? Round to the ten-thousandths.
(h) Do you reject the null hypothesis or fail to reject the
null hypothesis? Explain.
(i) Please write a conclusion sentence, in the context of the
problem, that explains to a lay person the result of the hypothesis
test.

Please answer D, E, F, G, H, I

3. A marine biologist claims that the mean length of mature female pink
seaperch is different in fall and winter. A sample of 26 mature female
pink seaperch collected in fall has a mean length of 127 millimeters and
a standard deviation of 14 millimeters. A sample of 31 mature female
pink seaperch collected in winter has a mean length of 117 millimeters
and a standard deviation of 9 millimeters. The distribution of lengths
of female pink seaperchs is normally distributed in both seasons. At
0.01, can you support the marine biologist's claim? Assume the
population variances are equal.
a =
Transcribed Image Text:3. A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 26 mature female pink seaperch collected in fall has a mean length of 127 millimeters and a standard deviation of 14 millimeters. A sample of 31 mature female pink seaperch collected in winter has a mean length of 117 millimeters and a standard deviation of 9 millimeters. The distribution of lengths of female pink seaperchs is normally distributed in both seasons. At 0.01, can you support the marine biologist's claim? Assume the population variances are equal. a =
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