The null and alternate hypotheses are:   H0 : μ1 = μ2 H1 : μ1 ≠ μ2   A random sample of 10 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5.   At the 0.05 significance level, is there a difference between the population means?   State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)           Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.)           Compute the test statistic. (Negative values should be indicated by a minus sign. Round your answer to 3 decimal places.)           State your decision about the null hypothesis.   multiple choice 1 Reject H0. Do not reject H0.     The  p-value is   multiple choice 2 between 0.1 and 0.2. less than 0.001. between 0.01 and 0.05. between 0.001 and 0.01. between 0.05 and 0.1.

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 : μ1 ≠ μ2

 

A random sample of 10 observations from one population revealed a sample mean of 23 and a sample standard deviation of 4. A random sample of 8 observations from another population revealed a sample mean of 26 and a sample standard deviation of 5.

 

At the 0.05 significance level, is there a difference between the population means?

 

  1. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 3 decimal places.)

 

 

 

 

 

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

 

 

 

 

 

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

 

 

 

 

 

  1. State your decision about the null hypothesis.

 

multiple choice 1

  • Reject H0.
  • Do not reject H0.

 

 

  1. The  p-value is

 

multiple choice 2

  • between 0.1 and 0.2.
  • less than 0.001.
  • between 0.01 and 0.05.
  • between 0.001 and 0.01.
  • between 0.05 and 0.1.

 

Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 1 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