score is 115 with a standard deviation of 12. If we assume the exam scores for student athletes follow an approximately normal distribution, is there vidence to conclude, at the 0.10 level of significance, that the standard deviation is different among student athletes? two-tailed test. Then complete the parts below. r intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) tate the null hypothesis Ho and the alternative hypothesis H₁. Ho :O etermine the type of test statistic to use. I |x D S Р

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Author:Amos Gilat
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For a standardized exam at your school, the mean score is 112 with a standard deviation of 15. You are a reporter for the school newspaper and want to know if
the standard deviation, O, is different among student athletes. To find out, you survey a random sample of 21 student athletes. You find that, for the sample,
the mean score is 115 with a standard deviation of 12. If we assume the exam scores for student athletes follow an approximately normal distribution, is there
enough evidence to conclude, at the 0.10 level of significance, that the standard deviation is different among student athletes?
Perform a two-tailed test. Then complete the parts below.
Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.)
(a) State the null hypothesis Ho and the alternative hypothesis H₁.
Ho :O
H₂:0
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the two critical values. (Round to three or more decimal places.)
and
(e) Can we conclude that the standard deviation of exam scores among student
athletes differs from 15?
O Yes O No
H
Ix
D
S
0-0 OSO
X
O#O O<O
Р
O>O
Ś
Transcribed Image Text:For a standardized exam at your school, the mean score is 112 with a standard deviation of 15. You are a reporter for the school newspaper and want to know if the standard deviation, O, is different among student athletes. To find out, you survey a random sample of 21 student athletes. You find that, for the sample, the mean score is 115 with a standard deviation of 12. If we assume the exam scores for student athletes follow an approximately normal distribution, is there enough evidence to conclude, at the 0.10 level of significance, that the standard deviation is different among student athletes? Perform a two-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis Ho and the alternative hypothesis H₁. Ho :O H₂:0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the two critical values. (Round to three or more decimal places.) and (e) Can we conclude that the standard deviation of exam scores among student athletes differs from 15? O Yes O No H Ix D S 0-0 OSO X O#O O<O Р O>O Ś
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