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A marine biologist claims that the mean length of mature female pink sooperch is different infall and winter. A sample of 12 mature female pink superch collected in tal has a meen length of 111 millimeters and a standard deviation of 15 millimeters. A sample of 10 mature female pink saperch collected in winter has a mean length of 102 milimeters and a standard deviation of 16 millimeters. At = 0.01, can you support the manne biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed Complete parts (a) through (e) below. (a) Identify the claim and Me He and he Which is the correct claim below? O A. "The mean length of mature female pink se perch is greater in the winter than in the tail. OB. "The mean length of mature female pink se perch is different in all and winter OC. "The mean length of mature female pink se perch is greater in the fall than in the winter." OD. "The mean length of mature female pink saperch is the same in and winter What are Hy and H.? The nullhypothesis, Ho.is The alternative hypothesis, H, Which hypothesis is the claim? The nullhypothesis, Ho The tomative hypothesis, H. (b) Find the critical values and Identity the rejection region's) Enter the crtical value(s) below. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed) Salart the art mariranih Click to select your answers

Answer 1

VS Soin) c) option B Hope = fa. Hap, 7 M2 Clain The alternatwe hypothesis. Ha b) vitual values +2,845 vie (+2.845,-2.845) Rejection eregion. =-t <=toyt to Test statistiest= x, - X2 Df = nt 02-2 = 12 +10-2-20 S + S2 Az = L11-102 152 + 142 12 10 =/, 453 d) fail to Reyeet the null bypothesis e) At 17 level there is not enough evidence to support the clain that the mean lengths of the mature different is fall significance and hence pink seaperick are CS Scanned with CamScanner