In: Statistics and Probability
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 = ??