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A marine biologist claims that the mean length of mature female pink seaperch is different in...

A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 18 mature female pink seaperch collected in fall has a mean length of 110 millimeters and a standard deviation of 10 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 96 millimeters and a standard deviation of 14 millimeters. At alpha=0.20 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.

(b)Find critical values and identify rejection region

​(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

Math   Statistics-And-Probability   
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