Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​ t-test and the pooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.   x1=19​, s1=3​, n1=21​, x2=23​, s2=4​, n2=17   a.​ Left-tailed test, α=0.05 b. 90​% confidence interval   a. What are the correct hypotheses for a​ left-tailed test?   A. H0​: μ1<μ2 Ha​: μ1=μ2   B. H0​: μ1≠μ2 Ha​: μ1=μ2   C. H0​: μ1=μ2 Ha​: μ1>μ2   D. H0​: μ1=μ2 Ha​: μ1<μ2   E. H0​: μ1>μ2 Ha​: μ1=μ2   F. H0​: μ1=μ2 Ha​: μ1≠μ2   Compute the test statistic.   t=__________ ​(Round to three decimal places as​ needed.)   Determine the critical value.   −tα=_________ ​(Round to three decimal places as​ needed.)   What is the conclusion of the hypothesis​ test?   Since the test statistic___________(is or is not) in the rejection​ region,__________ (do not reject or reject) H0.   b. The 90​% confidence interval is from ____________ to __________. ​(Round to three decimal places as​ needed.)

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
Topic Video
Question
Provided below are summary statistics for independent simple random samples from two populations. Use the pooled​ t-test and the pooled​ t-interval procedure to conduct the required hypothesis test and obtain the specified confidence interval.
 
x1=19​,
s1=3​,
n1=21​,
x2=23​,
s2=4​,
n2=17
 
a.​ Left-tailed test, α=0.05
b. 90​% confidence interval
 
a. What are the correct hypotheses for a​ left-tailed test?
 
A. H0​: μ1<μ2 Ha​: μ1=μ2
 
B. H0​: μ1≠μ2 Ha​: μ1=μ2
 
C. H0​: μ1=μ2 Ha​: μ1>μ2
 
D. H0​: μ1=μ2 Ha​: μ1<μ2
 
E. H0​: μ1>μ2 Ha​: μ1=μ2
 
F. H0​: μ1=μ2 Ha​: μ1≠μ2
 
Compute the test statistic.
 
t=__________
​(Round to three decimal places as​ needed.)
 
Determine the critical value.
 
−tα=_________
​(Round to three decimal places as​ needed.)
 
What is the conclusion of the hypothesis​ test?
 
Since the test statistic___________(is or is not) in the rejection​ region,__________ (do not reject or reject) H0.
 
b. The 90​% confidence interval is from ____________ to __________.
​(Round to three decimal places as​ needed.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
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
  • SEE MORE 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