SVerweight. To test her claim, a random sample of 20 Europeans was weighted, and the difference between their actual and ideal weights was calculated. The data and summary statistics are listed here. Do these data allow us to infer at the 5% significance level that the professor's claim is true? (Assume the population is normally distributed) Data: 16, 23, 18, 41, 22, 18, 23, 19, 22, 15, 18, 35, 16, 15, 17, 19, 23, 15, 16, 26 Sample mean = 20.85 Sample variance = 45.713

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a. State the null and alternative hypothesis?
Answer for Ho: H= 20
Answer for H1; H> 20
b. What is the test statistic?
Answer for b: t=.56
c. What is the conclusion of the test?
Answer for c: Fail to reject the null hypothe v
>
Transcribed Image Text:a. State the null and alternative hypothesis? Answer for Ho: H= 20 Answer for H1; H> 20 b. What is the test statistic? Answer for b: t=.56 c. What is the conclusion of the test? Answer for c: Fail to reject the null hypothe v >
BPofessor of nutrition claims that the average European is
more than 20 pounds overweight. To test her claim, a random sample
of 20 Europeans was weighted, and the difference between their actual
and ideal weights was calculated. The data and summary statistics are
listed here. Do these data allow us to infer at the 5% significance level
that the professor's claim is true? (Assume the population is normally
distributed)
Data: 16, 23, 18, 41, 22, 18, 23, 19, 22, 15, 18, 35, 16, 15, 17, 19, 23,
15, 16, 26
Sample mean = 20.85
%3D
Sample variance = 45.713
Transcribed Image Text:BPofessor of nutrition claims that the average European is more than 20 pounds overweight. To test her claim, a random sample of 20 Europeans was weighted, and the difference between their actual and ideal weights was calculated. The data and summary statistics are listed here. Do these data allow us to infer at the 5% significance level that the professor's claim is true? (Assume the population is normally distributed) Data: 16, 23, 18, 41, 22, 18, 23, 19, 22, 15, 18, 35, 16, 15, 17, 19, 23, 15, 16, 26 Sample mean = 20.85 %3D Sample variance = 45.713
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