   Chapter 9, Problem 12P Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912

Solutions

Chapter
Section Statistics for The Behavioral Scie...

10th Edition
Frederick J Gravetter + 1 other
ISBN: 9781305504912
Textbook Problem

To evaluate the effect of a treatment, a sample of n = 8 is obtained from a population with a mean of μ = 40 , and the treatment is administered to the individuals in the sample. After treatment, the sample mean is found to be M = 35 . a. If the sample variance is s 2 = 32 , are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05 ? b. If the sample variance is s 2 = 72 , are the data sufficient to conclude that the treatment has a significant effect using a two-tailed test with α = .05 ? c. Comparing your answer for pans a and b, how does the variability of the scores in the sample influence the outcome of a hypothesis test?

To determine

To test for the significance of effect of treatment on a sample which results into fixed mean but for varying value of sample variance?

Explanation

Given:

a) n=8, M=35, μ=40, s2=32, a=0.05, df=7

b) n=8, M=35, μ=40, s2=72, a=0.05, df=7

Formula used:

In both the cases, for testing the significance we use t test for single mean. Firstly we define null and alternative hypothesis, which is,

Null hypothesis: Ho= there is no significant effect of the treatment.

Alternative hypothesis: H1= there is significant effect of the treatment.

OR

Null hypothesis: Ho: μ = 40

Alternative hypothesis: H1: μ 40

And then calculate the t value and check for its possible acceptance and rejection on the basis of tabulated t value of given level of significance and degree of freedom

t statistics is given by t= Mμs2n

Calculation:

a) t= Mμs2n = 3540328=52=2

Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find an equation of the horizontal line that passes through (4, 3).

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

[Type text] 4. If and,does? [Type text]

Mathematical Applications for the Management, Life, and Social Sciences

Convert to whole or mixed numbers. 1255

Contemporary Mathematics for Business & Consumers

What is an increasing function?

Single Variable Calculus: Early Transcendentals

Sometimes, Always, or Never: dx equals the area between y = f(x), the x-axis, x = a, and x = b.

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th 