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 in fall has a mean length of 110 millimeters and a standard deviation of 13 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 109 millimeters and a standard deviation of 7 millimeters. At a = 0.02, can you support the marine biologists claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are nomally distributed. Complete parts (a) through (e) below. (a) Identify the claim and state Hg and Ha. Which is the correct claim below? O A. "The mean length of mature female pink seaperch is greater in the winter than in the fall." O B. "The mean length of mature female pink seaperch is the same in fall and winter." 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 greater in the fall than in the winter. What are Ho and Ha? The null hypothesis, Ho, is V The alternative hypothesis, Ha. is Which hypothesis is the claim? O The altemative hypothesis, Ha O The null hypothesis, Ho (b) Decide whether to reject or fail to reject the null hypothesis. the null hypothesis. (c) Interpret the decision in the context of the original daim. At the 2% significance level, enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall and winter.
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 in fall has a mean length of 110 millimeters and a standard deviation of 13 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 109 millimeters and a standard deviation of 7 millimeters. At a = 0.02, can you support the marine biologists claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are nomally distributed. Complete parts (a) through (e) below. (a) Identify the claim and state Hg and Ha. Which is the correct claim below? O A. "The mean length of mature female pink seaperch is greater in the winter than in the fall." O B. "The mean length of mature female pink seaperch is the same in fall and winter." 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 greater in the fall than in the winter. What are Ho and Ha? The null hypothesis, Ho, is V The alternative hypothesis, Ha. is Which hypothesis is the claim? O The altemative hypothesis, Ha O The null hypothesis, Ho (b) Decide whether to reject or fail to reject the null hypothesis. the null hypothesis. (c) Interpret the decision in the context of the original daim. At the 2% significance level, enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall and winter.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 2GP
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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 in fall has a mean length of 110 millimeters and a standard deviation of 13 milimeters. A
sample of 8 mature female pink seaperch collected in winter has a mean length of 109 millimeters and a standard deviation of 7 millimeters. At a = 0.02, can you support the marine biologists claim? Assume the population variances are equal. Assume the
samples are random and independent, and the populations are nomally distributed. Complete parts (a) through (e) below.
(a) Identify the caim and state Hg and Hg.
Which is the correct claim below?
O A. "The mean length of mature female pink seaperch is greater in the winter than in the fall."
OB. "The mean length of mature female pink seaperch is the same in fall and winter."
OC. "The mean length of mature female pink seaperch is different in fall and winter."
OD. "The mean length of mature female pink seaperch is greater in the fall than in the winter."
What are Ho and H?
The null hypothesis, Hg. is
V The alternative hypothesis, Ha. is
Which hypothesis is the claim?
O The altemative hypothesis, Ha
O The null hypothesis, Hg
(b) Decide whether to reject or fail to reject the null hypothesis.
V the null hypothesis.
(c) Interpret the decision in the context of the original claim.
At the 2% significance level,
V enough evidence to support the claim that the mean lengths of mature female pink seaperch are different in fall and winter.
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