Chapter 8, Problem 16P

BuyFind*arrow_forward*

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 (

Now *X* value before treatment is calculated as:

**b.**

To determine

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

Sect-8.1 P-1LCSect-8.1 P-2LCSect-8.1 P-3LCSect-8.1 P-1LCASect-8.1 P-2LCASect-8.1 P-3LCASect-8.2 P-1LCSect-8.2 P-2LCSect-8.2 P-3LCSect-8.2 P-4LC

Sect-8.2 P-5LCSect-8.3 P-1LCSect-8.3 P-2LCSect-8.3 P-3LCSect-8.3 P-4LCSect-8.3 P-5LCSect-8.4 P-1LCSect-8.4 P-2LCSect-8.4 P-3LCSect-8.5 P-1LCSect-8.5 P-2LCSect-8.5 P-3LCSect-8.6 P-1LCSect-8.6 P-2LCSect-8.6 P-3LCSect-8.6 P-4LCCh-8 P-1PCh-8 P-2PCh-8 P-3PCh-8 P-4PCh-8 P-5PCh-8 P-6PCh-8 P-7PCh-8 P-8PCh-8 P-9PCh-8 P-10PCh-8 P-11PCh-8 P-12PCh-8 P-13PCh-8 P-14PCh-8 P-15PCh-8 P-16PCh-8 P-17PCh-8 P-18PCh-8 P-19PCh-8 P-20PCh-8 P-21PCh-8 P-1RECh-8 P-2RECh-8 P-3RE

Essentials Of Statistics

Calculus: Early Transcendental Functions

Calculus: An Applied Approach (MindTap Course List)

Finite Mathematics and Applied Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Precalculus: Mathematics for Calculus (Standalone Book)

Applied Calculus

Multivariable Calculus

Calculus: Early Transcendentals

Statistics for The Behavioral Sciences (MindTap Course List)

Calculus (MindTap Course List)

Understanding Basic Statistics

Probability and Statistics for Engineering and the Sciences

Intermediate Algebra

Single Variable Calculus

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

Finite Mathematics

Mathematical Excursions (MindTap Course List)

Elementary Geometry For College Students, 7e

Contemporary Mathematics for Business & Consumers

Mathematical Applications for the Management, Life, and Social Sciences

Elementary Technical Mathematics

Trigonometry (MindTap Course List)

Calculus: Early Transcendental Functions (MindTap Course List)

Calculus of a Single Variable

Elements Of Modern Algebra

Single Variable Calculus: Early Transcendentals

Introduction To Statistics And Data Analysis

Finite Mathematics for the Managerial, Life, and Social Sciences

Elementary Geometry for College Students

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

Study Guide for Stewart's Multivariable Calculus, 8th