A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 15 mature female pink seaperch collected fall has a mean length of 115 millimeters and a standard deviation of 11 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 106 millimeters and a standard deviation of 9 millimeters. At a = 0.02, 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. OC. "The mean length of mature female pink seaperch is different in fall and winter." O D. "The mean length of mature female pink seaperch is the same in fall and winter." What are Ho and Ha? The null hypothesis, Ho, is u1 = H2. The alternative hypothesis, Ha, is H1 #H2- Which hypothesis is the claim? The alternative hypothesis, Ha The null hypothesis, Ho (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. ore as needed)

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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 15 mature female pink seaperch collected
fall has a mean length of 115 millimeters and a standard deviation of 11 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length
of 106 millimeters and a standard deviation of 9 millimeters. At a = 0.02, 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.
O C. "The mean length of mature female pink seaperch is different in fall and winter."
O D. "The mean length of mature female pink seaperch is the same in fall and winter."
What are Ho and Ha?
The null hypothesis, Ho, is u1 = H2. The alternative hypothesis, Ha, is H1 #H2-
Which hypothesis is the claim?
The alternative hypothesis, Ha
The null hypothesis, Ho
(b) Find the critical value(s) and identify the rejection region(s).
Enter the critical value(s) below.
ors as needed)
Transcribed Image Text:A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 15 mature female pink seaperch collected fall has a mean length of 115 millimeters and a standard deviation of 11 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 106 millimeters and a standard deviation of 9 millimeters. At a = 0.02, 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. O C. "The mean length of mature female pink seaperch is different in fall and winter." O D. "The mean length of mature female pink seaperch is the same in fall and winter." What are Ho and Ha? The null hypothesis, Ho, is u1 = H2. The alternative hypothesis, Ha, is H1 #H2- Which hypothesis is the claim? The alternative hypothesis, Ha The null hypothesis, Ho (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. ors as needed)
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