net ing that the average vertical jump for teens was dent researchers Haley, Jeff, and Nathan saw an article on the 15 inches. They wondered if the average vertical jump of students at their school differed from 15 inches, so they obtained a list of student names and selected a random sample of 20 students. After contacting these students several times, they finally convinced them to allow their vertical jumps to be measured. Given are the data (in inches): 11.0 11.5 12.5 26.5 15.0 12.5 22.0 15.0 13.5 12.0 23.0 19.0 15.5 21.0 12.5 23.0 20.0 8.5 25.5 20.5 We want to test Ho: μ = 15 Ha:μ # 15 where μ = the true mean vertical jump of all students at this school using a = 0.10. The P-value of this test is 0.1121. A 90% confidence interval for the true mean vertical jump for all students at this school is 14.924 to 19.076.

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Student researchers Haley, Jeff, and Nathan saw an article on the Internet claiming that the average vertical jump for teens was
15 inches. They wondered if the average vertical jump of students at their school differed from 15 inches, so they obtained a list
of student names and selected a random sample of 20 students. After contacting these students several times, they finally
convinced them to allow their vertical jumps to be measured. Given are the data (in inches):
11.0 11.5 12.5 26.5 15.0 12.5 22.0 15.0 13.5 12.0
23.0 19.0 15.5 21.0 12.5 23.0 20.0 8.5 25.5 20.5
We want to test
Ho: μ = 15
Ha:μ # 15
where
μ = the true mean vertical jump of all students at this school using a = 0.10. The P-value of this test is 0.1121.
A 90% confidence interval for the true mean vertical jump for all students at this school is 14.924 to 19.076.
Which is the following statements is not true with regards to the 90% confidence interval and the hypothesis test?
The 90% confidence interval provided gives an approximate set of u's that would not be rejected by a two-sided test at
the a = 0.10 significance level.
All of the statements are true.
The value 15 is a plausible value for the true mean vertical jump because it falls within the 90% confidence interval.
Based upon the confidence interval we would not reject μ = 15 at the α = 0.10 significance level.
The confidence interval tells us more than the test because it provides an interval of plausible values for the true mean
vertical jump.
Transcribed Image Text:Student researchers Haley, Jeff, and Nathan saw an article on the Internet claiming that the average vertical jump for teens was 15 inches. They wondered if the average vertical jump of students at their school differed from 15 inches, so they obtained a list of student names and selected a random sample of 20 students. After contacting these students several times, they finally convinced them to allow their vertical jumps to be measured. Given are the data (in inches): 11.0 11.5 12.5 26.5 15.0 12.5 22.0 15.0 13.5 12.0 23.0 19.0 15.5 21.0 12.5 23.0 20.0 8.5 25.5 20.5 We want to test Ho: μ = 15 Ha:μ # 15 where μ = the true mean vertical jump of all students at this school using a = 0.10. The P-value of this test is 0.1121. A 90% confidence interval for the true mean vertical jump for all students at this school is 14.924 to 19.076. Which is the following statements is not true with regards to the 90% confidence interval and the hypothesis test? The 90% confidence interval provided gives an approximate set of u's that would not be rejected by a two-sided test at the a = 0.10 significance level. All of the statements are true. The value 15 is a plausible value for the true mean vertical jump because it falls within the 90% confidence interval. Based upon the confidence interval we would not reject μ = 15 at the α = 0.10 significance level. The confidence interval tells us more than the test because it provides an interval of plausible values for the true mean vertical jump.
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