A marine biologist claims that the mean length of mature femalepink seaperch is different in fall and winter. A sample of 6 maturefemale pink seaperch collected in fall has a mean length of 106millimeters and a standard deviation of 14 millimeters. A sample of8 mature female pink seaperch collected in winter has a mean lengthof 101 millimeters and a standard deviation of 13 millimeters. Atalphaequals 0.20​, can you support the marine​ biologist's claim?Assume the population variances are equal. Assume the samples arerandom and​ independent, and the populations are normallydistributed.
Standardized test statistic
t = ??
