A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in fall has a mean length of 123 millimeters and a standard deviation of 14 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean len of 117 millimeters and a standard deviation of 13 millimeters. At a = 0.01, 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? O The alternative hypothesis, H, 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 placos as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. O A. 12to

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
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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 12 mature female pink seaperch collected in
fall has a mean length of 123 millimeters and a standard deviation of 14 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length
of 117 millimeters and a standard deviation of 13 millimeters. At a = 0.01, 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 alternative hypothesis, H,
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 placbs as needed. Use a comma to separate answers as needed.)
Select the correct rejection region(s) below.
OA. t>to
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 12 mature female pink seaperch collected in fall has a mean length of 123 millimeters and a standard deviation of 14 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length of 117 millimeters and a standard deviation of 13 millimeters. At a = 0.01, 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 alternative hypothesis, H, 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 placbs as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. OA. t>to
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