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 112 millimeters and a standard deviation of 15 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 99 millimeters and a standard deviation of 14 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. Which hypothesis is the claim? The null hypothesis, Ho The alternative hypothesis, Ha (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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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 112 millimeters and a standard deviation of 15 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of
99 millimeters and a standard deviation of 14 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.
Which hypothesis is the claim?
LEGO
O The null hypothesis, Ho
OThe alternative hypothesis, Ha
(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.)
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 6 mature female pink seaperch collected in fall has a mean length of 112 millimeters and a standard deviation of 15 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 99 millimeters and a standard deviation of 14 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. Which hypothesis is the claim? LEGO O The null hypothesis, Ho OThe alternative hypothesis, Ha (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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