The null and alternate hypotheses are: H0 : μ1 = μ2H1 : μ1 ≠ μ2 A random sample of 12 observations from one population revealed a sample mean of 24 and a sample standard deviation of 3.8. A random sample of 8 observations from another population revealed a sample mean of 28 and a sample standard deviation of 3.7. At the 0.01 significance level, is there a difference between the population means? a) State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) The decision rule is to reject H0 if t <_______ or t >__________ b) Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.) c) Compute the test statistic.(Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

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

The null and alternate hypotheses are:

H0 : μ1 = μ2
H1 : μ1μ2

A random sample of 12 observations from one population revealed a sample mean of 24 and a sample standard deviation of 3.8. A random sample of 8 observations from another population revealed a sample mean of 28 and a sample standard deviation of 3.7.

At the 0.01 significance level, is there a difference between the population means?

a) State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) The decision rule is to reject H0 if t <_______ or t >__________

b) Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.)

c) Compute the test statistic.(Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 5 steps with 4 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