A sample of n=9 individuals is selected from a population with a mean of μ=10. A researcher suspects that after the individuals have gone through a specific type of treatment, their performances on a standardized examination will be different from the general population. After the treatment, the sample has a M=13 and s2=9.

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
Question
  • A sample of n=9 individuals is selected from a population with a mean of μ=10. A researcher suspects that after the individuals have gone through a specific type of treatment, their performances on a standardized examination will be different from the general population. After the treatment, the sample has a M=13 and s2=9.
Expert Solution
Step 1

The Null and alternative hypotheses are as follows:

H0: μ = 10.

H1: μ ≠ 10.

Since sample size is small and population standard deviation is unknown, t-test is appropriate in this situation.

Test statistic:

Here, the sample mean, x-bar is 13.

Population mean, µ is 10.

Sample standard deviation, s = 3

Sample size, n is 9.

The test statistic for hypothesis test for mean is given by:

t =(x-bar –μ)/(s/√n)

  = (13-10)/(3/√9)

  = 3

The test statistic is 3.

steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Basics of Inferential Statistics
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
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