average score that can be obtained on a standardized test at your school is 114with a standard deviation of 16. You are a reporter for the school newspaper you want to know if thetypical deviation, o,Student athletes are different. To find out, he surveys a random sample of 18student athletes and determines for the sample, the mean score is 112 with a standard deviation of 12.If we assume that the scores that the student athletes obtained follow an roximately normal distribution, is there enough evidence to conclude, at the level of significance of0.05, which standard deviation is higher among student etes? orm a two-tailed test. Then complete the following. y intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas.) (to) Formulate the null hypothesish and the alternative hypothesish. (b) Determine which type of test statistic to use. (Choose an option) Find the value of the test statistic. (Round to three or more decimal places.) (c) 0 (d) Find the p-value. (Round to three or more decimal places.) 3 1x a 4 2 ロロ S X ロ=ロ OSO 020 0<0 Р 0

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Author:Amos Gilat
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The average score that can be obtained on a standardized test at your school is114with a standard deviation of 16. You are a reporter for the school newspaper
and you want to know if thetypical deviation, o,Student athletes are different. To find out, he surveys a random sample of 18student athletes and determines
that for the sample, the mean score is112with a standard deviation of12.If we assume that the scores that the student athletes obtained follow an
approximately normal distribution, is there enough evidence to conclude, at the level of significance of 0.05, which standard deviation is higher among student
athletes?
Perform a two-tailed test. Then complete the following.
Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .)
(to) Formulate the null hypothesish and the alternative hypothesish 1'
ho: 0
0
(b)
(c)
(d)
h !
1
0
Determine which type of test statistic to use.
(Choose an option)
Find the value of the test statistic. (Round to three or more decimal places.)
0
Find the p-value. (Round to three or more decimal places.)
П
μ σ p
XI
0=0 OSO
0#0
S
X
O<O
P
O<O
S
Transcribed Image Text:The average score that can be obtained on a standardized test at your school is114with a standard deviation of 16. You are a reporter for the school newspaper and you want to know if thetypical deviation, o,Student athletes are different. To find out, he surveys a random sample of 18student athletes and determines that for the sample, the mean score is112with a standard deviation of12.If we assume that the scores that the student athletes obtained follow an approximately normal distribution, is there enough evidence to conclude, at the level of significance of 0.05, which standard deviation is higher among student athletes? Perform a two-tailed test. Then complete the following. Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish 1' ho: 0 0 (b) (c) (d) h ! 1 0 Determine which type of test statistic to use. (Choose an option) Find the value of the test statistic. (Round to three or more decimal places.) 0 Find the p-value. (Round to three or more decimal places.) П μ σ p XI 0=0 OSO 0#0 S X O<O P O<O S
Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .)
(to) Formulate the null hypothesish and the alternative hypothesish
ho: 0
0
(b)
(c)
(d)
h :0
1
Determine which type of test statistic to use.
(Choose an option)
Find the value of the test statistic. (Round to three or more decimal places.)
Find the p-value. (Round to three or more decimal places.)
0
1'
(and) Can we conclude that the standard deviation of the scores that the student
athletes obtained is greater than16?
O Yeah O No
μ
X
0=0
S
X
☐#0 0<0
р
<Q
OSO 0²0
3
00
0>0
Transcribed Image Text:Carry intermediate calculations to three or more decimal places. (If necessary, you can refer to a list of formulas .) (to) Formulate the null hypothesish and the alternative hypothesish ho: 0 0 (b) (c) (d) h :0 1 Determine which type of test statistic to use. (Choose an option) Find the value of the test statistic. (Round to three or more decimal places.) Find the p-value. (Round to three or more decimal places.) 0 1' (and) Can we conclude that the standard deviation of the scores that the student athletes obtained is greater than16? O Yeah O No μ X 0=0 S X ☐#0 0<0 р <Q OSO 0²0 3 00 0>0
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