f, in a sample of n=25selected from a normal population, X = 54 and S=15, what is your statistical decision if the level of significance, α, is 0.01, the null hypothesis, H0, is μ=50, and the alternative hypothesis, H1, is μ≠ 50 ? Part 1 a. The critical value(s) is(are) . . . (Round to four decimal places to the right of the decimal point as needed. Use a comma to separate answers as needed.) A. -2.7874, +2.7874 , found using T.INV.2T(0.01,25) B. -3.0905, +3.0905 , found using T.INV.2T(0.01/2,24) C. -2.7969, +2.7969 , found using T.INV.2T(0.01,24) D. +2.7969 , found using T.INV.2T(0.01,24) b. Determine the test statistic, tSTAT. (Round to four decimal places to the right of the decimal point as needed.) A. tSTAT = (54 − 50)(15) = +0.2667 , found using formula (9.2) B. tSTAT = (50 − 54)1525 = −1.3333, found using formula (9.2) C. tSTAT = (54 − 50)1525 = +1.3333, found using formula (9.2) D. tSTAT = (15 − 50)5425 = −3.2407, found using formula (9.2) State your statistical decision. Choose the correct answer below. A. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from μ=50. B. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from μ=50. C. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from μ=50. D. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from μ=50.
f, in a sample of n=25selected from a normal population, X = 54 and S=15, what is your statistical decision if the level of significance, α, is 0.01, the null hypothesis, H0, is μ=50, and the alternative hypothesis, H1, is μ≠ 50 ? Part 1 a. The critical value(s) is(are) . . . (Round to four decimal places to the right of the decimal point as needed. Use a comma to separate answers as needed.) A. -2.7874, +2.7874 , found using T.INV.2T(0.01,25) B. -3.0905, +3.0905 , found using T.INV.2T(0.01/2,24) C. -2.7969, +2.7969 , found using T.INV.2T(0.01,24) D. +2.7969 , found using T.INV.2T(0.01,24) b. Determine the test statistic, tSTAT. (Round to four decimal places to the right of the decimal point as needed.) A. tSTAT = (54 − 50)(15) = +0.2667 , found using formula (9.2) B. tSTAT = (50 − 54)1525 = −1.3333, found using formula (9.2) C. tSTAT = (54 − 50)1525 = +1.3333, found using formula (9.2) D. tSTAT = (15 − 50)5425 = −3.2407, found using formula (9.2) State your statistical decision. Choose the correct answer below. A. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from μ=50. B. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from μ=50. C. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from μ=50. D. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from μ=50.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
If, in a sample of n=25selected from a normal population, X = 54 and S=15, what is your statistical decision if the level of significance, α, is 0.01, the null hypothesis, H0, is μ=50, and the alternative hypothesis, H1, is μ≠ 50 ?
Part 1
a. The critical value(s) is(are) . . .
(Round to four decimal places to the right of the decimal point as needed. Use a comma to separate answers as needed.)
A. -2.7874, +2.7874 , found using T.INV.2T(0.01,25)
B. -3.0905, +3.0905 , found using T.INV.2T(0.01/2,24)
C. -2.7969, +2.7969 , found using T.INV.2T(0.01,24)
D. +2.7969 , found using T.INV.2T(0.01,24)
b. Determine the test statistic, tSTAT.
(Round to four decimal places to the right of the decimal point as needed.)
(Round to four decimal places to the right of the decimal point as needed.)
A. tSTAT = (54 − 50)(15) = +0.2667 , found using formula (9.2)
B. tSTAT = (50 − 54)1525 = −1.3333, found using formula (9.2)
C. tSTAT = (54 − 50)1525 = +1.3333, found using formula (9.2)
D. tSTAT = (15 − 50)5425 = −3.2407, found using formula (9.2)
State your statistical decision. Choose the correct answer below.
A. The test rejects the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from
μ=50.
B. The test rejects the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from μ=50.
C. The test does not reject the null hypothesis. The data does not provide sufficient evidence to conclude that the mean differs from μ=50.
D. The test does not reject the null hypothesis. The data provide sufficient evidence to conclude that the mean differs from μ=50.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman