. 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.
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
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