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 94.4. 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 94.4. Use a two-sided alternative and a 5% significance level. 74 81 75 66 62 72 99 82 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? ΟΑ. H, μ2 944 H, p<94.4 O B. H u#94.4 H, u= 94.4 O D. H, us94.4 OC. H; p= 94.4 H p#94.4 H, p> 94.4 For this test at the significance level a with sample mean x, hypothesized mean H. Ssample standard deviation s, and sample size n, what is the form of the decision rule? x-Ho O A. Reject H, if x-Ho >h-1.a/2 s/ n <-4-1a/2 or reject H, if s/ yn x-Ho O B. Reject H, if <-4-1,a

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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 94.4. 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 94.4. Use a two-sided alternative and a 5% significance level.
74
81
75
66
62
72
99
82 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?
Ο Α. H μ2 94.4
H,: µ<94.4
ОВ. На и#94.4
H, µ= 94.4
OC. Họi µ= 94.4
H,: p#94.4
O D. H, us 94.4
H,: p> 94.4
For this test at the significance level a with sample mean x, hypothesized mean Hg, sample standard deviation s, and sample size n, what is the form of the decision rule?
x- Ho
>n -1,a/2
x- Ho
O A. Reject H, if
s//n
-h-1.a/2 or reject H, if
x- Ho
O B. Reject H, if
< -n- 1,a
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 94.4. 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 94.4. Use a two-sided alternative and a 5% significance level. 74 81 75 66 62 72 99 82 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? Ο Α. H μ2 94.4 H,: µ<94.4 ОВ. На и#94.4 H, µ= 94.4 OC. Họi µ= 94.4 H,: p#94.4 O D. H, us 94.4 H,: p> 94.4 For this test at the significance level a with sample mean x, hypothesized mean Hg, sample standard deviation s, and sample size n, what is the form of the decision rule? x- Ho >n -1,a/2 x- Ho O A. Reject H, if s//n -h-1.a/2 or reject H, if x- Ho O B. Reject H, if < -n- 1,a
Upper Critical Values of Student's t Distribution with y Degrees of Freedom
For selected probabilities, a, the table shows the values t such that P(t, > t) = a, where t, is a Student's t random variable with y degress
of freedom. For example, the probability is 10 that a Student's t random variable with 10 degrees of freedom exceeds 1.372.
PROBABILITY Or EXCEEDING THE CRITICAL VALUE
0.10
0.05
0.025
0.01
0.005
0.001
1
3.078
6.314
12.706
31.821
63.657
318.313
1.886
2920
4.303
6.965
9.925
22.327
3
1.638
2.353
3.182
4.541
5.841
10.215
1.533
2.132
2.776
3.747
4.604
7.173
1.476
2.015
2.571
3.365
4.032
5.893
1.440
1.943
2.447
3.143
3.707
5.208
7
1.415
1.895
2.365
2.998
3.499
4.782
Transcribed Image Text:Upper Critical Values of Student's t Distribution with y Degrees of Freedom For selected probabilities, a, the table shows the values t such that P(t, > t) = a, where t, is a Student's t random variable with y degress of freedom. For example, the probability is 10 that a Student's t random variable with 10 degrees of freedom exceeds 1.372. PROBABILITY Or EXCEEDING THE CRITICAL VALUE 0.10 0.05 0.025 0.01 0.005 0.001 1 3.078 6.314 12.706 31.821 63.657 318.313 1.886 2920 4.303 6.965 9.925 22.327 3 1.638 2.353 3.182 4.541 5.841 10.215 1.533 2.132 2.776 3.747 4.604 7.173 1.476 2.015 2.571 3.365 4.032 5.893 1.440 1.943 2.447 3.143 3.707 5.208 7 1.415 1.895 2.365 2.998 3.499 4.782
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