   Chapter 8, Problem 16P 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 researcher plans to conduct an experiment evalu­ating the effect of a treatment. A sample of n = 9 participants is selected and each person receives the treatment before being tested on a standardized dex­terity task. The treatment is expected to lower scores on the test by an average of 30 points. For the regular population, scores on the dexterity task form a normal distribution with μ = 240 and σ = 30.a. If the researcher uses a two-tailed test with α – .05, what is the power of the hypothesis test?b. Again assuming a two-tailed test with α – .05, what is the power of the hypothesis test if the sample size is increased to n = 25?

a.

To determine
The power of the test if the researcher uses a sample of n=9 .

Explanation

Given info:

Population mean before treatment is given as 240, Population mean after treatment is given as 210, standard deviation is given as 30, alpha level is given as 0.05 and sample size is given as 9.

Calculation:

As alpha level is given so before treatment z-score value is calculated as 1.96 using z table. Standard error ( σm ) calculated as:

σm=σn=309=303=10

Now X value before treatment is calculated as:

Z=Xμσm1.96=X24010X=1

b.

To determine
The power of the test if the researcher uses a sample of n=25 .

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

In Exercises 7-10, solve the equation. x2+8x20=0

Calculus: An Applied Approach (MindTap Course List)

Expand each expression in Exercises 122. (xx2)(x+x2)

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 35-38, find an equation of the line that has slope m and y-intercept b. 36. m = 2; b = 1

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

Change 1540 mm to m.

Elementary Technical Mathematics

If f is the function in Exercise 9, find g(4).

Single Variable Calculus: Early Transcendentals

The solution to y = y2 with y(1)=13 is: a) y=1x+2 b) y=lnx+13 c) y=12x216 d) y=12x16

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

The series solution to y′ = xy is:

Study Guide for Stewart's Multivariable Calculus, 8th 