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 121 millimeters and a standard deviation of 11 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 =0.20, can you support the marinebiologist's claim? Assume the population variances are equal. Assume the samples are random andindependent, and the populations are normally distributed. Complete parts(a) through(e) below.

(a) Identify the claim and state H0 and Ha.

(b) Find the criticalvalue(s) and identify the rejectionregion(s

(c) Find the standardized test statistic.

(d)Decide whether to reject or fail to reject the null hypothesis.