In Izmir University of Economics, a statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken in the statistic course. This test was taken by a large group of students in the course, and the average score was 76.3. A random sample of eight students was asked significance level. predict this average score. Their predictions are shown below. Assuming a normal distribution, test the null hypothesis that the population mean prediction would be 76.3. Use a two-sided alternative and a 10% 78 83 73 69 65 72 81 71 D Click the icon to view the upper critical values of the Student's t distribution, " s/Jn 'n-1a x-Ho O B. Reject H, if s/ yn メーPO OC. Reject H, if x-Ho >4-1a/2 s/ yn <-4-19/2 or reject H, If Determine the value(s) for -t,-1a ,-1a or 2t-1a/2 as appropriate for this test. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Calculate the decision statistic. x-Po =(Round to three decimal places as needed.) s/ yn State the conclusion of this test. the null hypothesis. There v sufficient evidence that the population mean prediction is not equal to 76.3. Reject swer(s). Do not reject

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In Izmir University of Economics, a statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken in the statistic course. This test was taken by a large group of students in the course, and the average score was 76.3. A
random sample of eight students was asked to predict this average score. Their predictions are shown below. Assuming a normal distribution, test the null hypothesis that the population mean prediction would be 76.3. Use a two-sided alternative and a 10%
significance level.
78
83
73
69
65
72
81
71 D
Click the icon to view the upper critical values of the Student's t distribution.
wj U" s/ /n
'n- 1,0
x- Ho
O B. Reject Ho if
> tn- 1,a
s/ yn
x- Ho
x-Ho
OC. Reject Ho if
s/ yn
< -n- 1.a/2 or reject H, if
-1,a/2
Determine the value(s) for - t,- 1.9, th-1a or ±tn-1.a/2 as appropriate for this test.
(Round to three decimal places as needed. Use a comma to separate answers as needed.)
Calculate the decision statistic.
x-Po
(Round to three decimal places as needed.)
s/ yn
State the conclusion of this test.
the null hypothesis. There
sufficient evidence that the population mean prediction is not equal to 76.3.
C
Reject
swer(s).
Do not reject
Transcribed Image Text:In Izmir University of Economics, a statistics instructor is interested in the ability of students to assess the difficulty of a test they have taken in the statistic course. This test was taken by a large group of students in the course, and the average score was 76.3. A random sample of eight students was asked to predict this average score. Their predictions are shown below. Assuming a normal distribution, test the null hypothesis that the population mean prediction would be 76.3. Use a two-sided alternative and a 10% significance level. 78 83 73 69 65 72 81 71 D Click the icon to view the upper critical values of the Student's t distribution. wj U" s/ /n 'n- 1,0 x- Ho O B. Reject Ho if > tn- 1,a s/ yn x- Ho x-Ho OC. Reject Ho if s/ yn < -n- 1.a/2 or reject H, if -1,a/2 Determine the value(s) for - t,- 1.9, th-1a or ±tn-1.a/2 as appropriate for this test. (Round to three decimal places as needed. Use a comma to separate answers as needed.) Calculate the decision statistic. x-Po (Round to three decimal places as needed.) s/ yn State the conclusion of this test. the null hypothesis. There sufficient evidence that the population mean prediction is not equal to 76.3. C Reject swer(s). Do not reject
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