Assume that you have a sample of n, = 9, with the sample mean X, = 47, and a sample standard deviation of S, = 6, and you have an independent sample of n2 = 15 from another population with a sample mean of X2 = 36 and the sample standard deviation S, = 8. Complete parts (a) through (d) below. %3D %3D a. What is the value of the pooled-variance tsTAT test statistic for testing Ho: H1 = H2? tSTAT = %3D (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? degrees of freedom (Simplify your answer.) c. Using a significance level of a = 0.025, what is the critical value for a one-tail test of the hypothesis Ho: H1S H2 against the alternative H1: µ1 > H2? The critical value is. (Round to two decimal places as needed.) d. What is your statistical decision? O A. Do not reject Ho because the computed tSTAT test statistic is greater than the upper-tail critical value. B. Reject Ho because the computed tsTAT test statistic is less than the upper-tail critical value. C. Do not reject Ho because the computed tSTAT test statistic is less than the upper-tail critical value. D. Reject Ho because the computed tSTAT test statistic is greater than the upper-tail critical value.
Assume that you have a sample of n, = 9, with the sample mean X, = 47, and a sample standard deviation of S, = 6, and you have an independent sample of n2 = 15 from another population with a sample mean of X2 = 36 and the sample standard deviation S, = 8. Complete parts (a) through (d) below. %3D %3D a. What is the value of the pooled-variance tsTAT test statistic for testing Ho: H1 = H2? tSTAT = %3D (Round to two decimal places as needed.) b. In finding the critical value, how many degrees of freedom are there? degrees of freedom (Simplify your answer.) c. Using a significance level of a = 0.025, what is the critical value for a one-tail test of the hypothesis Ho: H1S H2 against the alternative H1: µ1 > H2? The critical value is. (Round to two decimal places as needed.) d. What is your statistical decision? O A. Do not reject Ho because the computed tSTAT test statistic is greater than the upper-tail critical value. B. Reject Ho because the computed tsTAT test statistic is less than the upper-tail critical value. C. Do not reject Ho because the computed tSTAT test statistic is less than the upper-tail critical value. D. Reject Ho because the computed tSTAT test statistic is greater than the upper-tail critical value.
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
Please answer all
Transcribed Image Text:Assume that
you
have a sample of n, = 9, with the sample mean
X, = 47, and a sample standard deviation of
S, = 6, and you have an independent sample of n2 = 15 from another population with a sample mean of
X2
= 36 and the sample standard deviation S2 = 8. Complete parts (a) through (d) below.
a. What is the value of the pooled-variance tsTAT test statistic for testing Ho: µ1 = H2?
%D
ISTAT=
(Round to two decimal places as needed.)
b. In finding the critical value, how many degrees of freedom are there?
degrees of freedom
(Simplify your answer.)
c. Using a significance level of a = 0.025, what is the critical value for a one-tail test of the hypothesis
Ho: H1 s H2 against the alternative H1: H1 > H2?
The critical value is
(Round to two decimal places as needed.)
d. What is your statistical decision?
A. Do not reject Ho because the computed tgTAT test statistic is greater than the upper-tail critical value.
B. Reject Ho because the computed tsTAT test statistic is less than the upper-tail critical value.
C. Do not reject Ho because the computed tsTAT test statistic is less than the upper-tail critical value.
D. Reject Ho because the computed tsTAT test statistic is greater than the upper-tail critical value.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Knowledge Booster
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.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