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In: Statistics and Probability

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 6 mature female pink seaperch collected in fall has a mean length of 106 millimeters and a standard deviation of 14 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 101 millimeters and a standard deviation of 13 millimeters. At alphaequals 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.

Standardized test statistic

t = ??

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