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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
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 108 millimeters and a standard deviation of 12 millimeters. A sample of 2 mature female pink seaperch collected in winter has a mean length of 99 millimeters and a standard deviation of 9 millimeters. At a = 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. Complete parts (a) through (e) below. (a) Identify the claim and state Ho and Ha. Which is the correct claim below? O A. "The mean length of mature female pink seaperch is greater in the fall than in the winter." B. "The mean length of mature female pink seaperch is different in fall and winter." O C. "The mean length of mature female pink seaperch is greater in the winter than in the fall." O D. "The mean length of mature female pink seaperch is the same in fall and winter." What are Ho and He? The null hypothesis, Ho, is My =H2. The alternative hypothesis, Ha, is My # #2- Which hypothesis is the claim? The alternative hypothesis, Ha O The null hypothesis, Ho (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)
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