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 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 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. What are the null and alternative hypotheses for this test? O B. H u76.3 H,: u= 76.3 OD. H, = 76.3 H, u476.3 O A. H us 76.3 H: u> 76.3 OC. H, u2 76.3 H: u<76.3 For this test at the significance level a with sample mean x, hypothesized mean lo. sample standard deviation s, and sample size n, what is the form of the decision rule? O A. Reject H, if s/yn OB. Reject Ho if s/ yn

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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
E Click the icon to view the upper critical values of the Student's t distribution.
What are the null and alternative hypotheses for this test?
O A. Ho: Hs 76.3
H,: µ> 76.3
O B. H,: H#76.3
H;: µ = 76.3
OC. Ho: H2 76.3
O D. H,: H= 76.3
H,: µ<76.3
H,: µ+76.3
For this test at the significance level a with sample mean x, hypothesized mean Ho, sample standard deviation s, and sample size n, what is the form of the decision rule?
x- Ho
O A. Reject Ho if
<-n- 1,0
s/ yn
x- Ho
>tn -1,a
O B. Reject Ho i -
s/ yn
x- Ho
OC. Reject Ho if-
s/ yn
x-Ho
>tn- 1,a/2
< -h-18/2 or reject H, if
s/yn
Determine the value(s) for -t,-1g. th-14 or ±t,-18/2 as appropriate for this test.
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 E Click the icon to view the upper critical values of the Student's t distribution. What are the null and alternative hypotheses for this test? O A. Ho: Hs 76.3 H,: µ> 76.3 O B. H,: H#76.3 H;: µ = 76.3 OC. Ho: H2 76.3 O D. H,: H= 76.3 H,: µ<76.3 H,: µ+76.3 For this test at the significance level a with sample mean x, hypothesized mean Ho, sample standard deviation s, and sample size n, what is the form of the decision rule? x- Ho O A. Reject Ho if <-n- 1,0 s/ yn x- Ho >tn -1,a O B. Reject Ho i - s/ yn x- Ho OC. Reject Ho if- s/ yn x-Ho >tn- 1,a/2 < -h-18/2 or reject H, if s/yn Determine the value(s) for -t,-1g. th-14 or ±t,-18/2 as appropriate for this test.
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