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

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
icon
Concept explainers
Question
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
Expert Solution
steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Continuous Probability Distribution
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman