A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 10 mature female pink seaperch collected in fall has a mean length of 111 millimeters and a standard deviation of 10 millimeters. A sample of 2 mature female pink seaperch collected in winter has a mean length of 96 millimeters and a standard deviaiton of 7 millimeters. At ? = .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.
Critical values:
Answer: 1.372, -1.372
Rejection region:
Answer: t < -t0, t > t0
Standardized test statistic:
Answer: t= 1.988