   Chapter 8, Problem 17P Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570

Solutions

Chapter
Section Essentials of Statistics for the B...

8th Edition
Frederick J Gravetter + 1 other
ISBN: 9781133956570
Textbook Problem

A sample of n = 40 is selected from a normal population with μ = 75 msec. and σ = 12, and a treatment is administered to the sample, The treatment is expected to increase scores by an average of 4 msec.a. If the treatment effect is evaluated with a two-tailed hypothesis test using α = .05, what is the power of the test?b. What is the power of the test if the researcher uses a one-tailed test with α = .05?

a.

To determine

To find: The power of the test if the treatment effect is evaluated with a two-tailed hypothesis test using α=0.05

Explanation

Given info:

n=40, μ=75msec, σ=12 and α=0.05.

Calculation:

Two tailed test

In case when treatment has no effect and the population mean is μ=75msec

When treatment adds to each person’s score by 4 msec, the sample mean are centred around μ=75msec.

Both distribution have standard error (σM)

σM=σn=1240=1.8971.90

At α=0.05, the critical boundaries comes out to be Z=1.96 or Z=1.96.

For the distribution on the left hand side, the critical boundary of Z=±1.96 corresponds to a location that is above μ=75 by distance equals to

1

b.

To determine

To find: The power of the test if the treatment effect is evaluated with a one-tailed hypothesis test using α=0.05

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 more solutions based on key concepts 