Chapter 8, Problem 5P

BuyFind*arrow_forward*

8th Edition

Frederick J Gravetter + 1 other

ISBN: 9781133956570

Textbook Problem

A local college requires an English composition course for all freshmen. This year they are evaluating a new online version of the course. A random sample of n = 16 freshmen is selected and the students are placed in the online course. At the end of the semester, all freshmen take the same English composition exam. The average score for the sample is *M* = 76. For the general population of freshmen who look the traditional lecture class, the exam scores form a normal distribution with a mean of

**a.** If the final exam scores for the population have a standard deviation of

**c.** If the population standard deviation

**c.** Comparing your answers for pans a and b, explain how the magnitude of the standard deviation influences the outcome of a hypothesis test.

**a.**

To determine

**To check:** Whether the sample provides enough evidence to conclude that the new online course is significantly different from the traditional class, when

Explanation

**Given info:**

Samples mean (*M*) is 76, population mean is 80, standard deviation is 12, alpha level is 0.05 and sample size is 16.

**Calculation:**

The null hypothesis states that there is no effect of the treatment and alternative hypothesis states opposite of null hypothesis. As given in the question that population mean is 80 and two tailed test is used, so the null hypothesis and alternative hypothesis for this question are:

The alpha level is given in the question as 0.05 and need to find boundaries of the critical region. As given in the question that two tailed hypothesis test used, so acceptance region is:

The z-score critical value at 0.975 or at

Where

**b.**

To determine

The sample provides enough evidence to conclude that the new online course is significantly different from the traditional class, when
σ = 6 .

**c.**

To determine

**To explain:** The change in magnitude of the standard deviation influences the outcome of a hypothesis test.

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

Statistics for The Behavioral Sciences (MindTap Course List)

Understanding Basic Statistics

Essentials of Statistics for The Behavioral Sciences (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Essentials Of Statistics

Precalculus: Mathematics for Calculus (Standalone Book)

Calculus (MindTap Course List)

Finite Mathematics and Applied Calculus (MindTap Course List)

Elementary Geometry For College Students, 7e

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

Contemporary Mathematics for Business & Consumers

Calculus (MindTap Course List)

Single Variable Calculus: Early Transcendentals, Volume I

Finite Mathematics for the Managerial, Life, and Social Sciences

Applied Calculus

Mathematical Excursions (MindTap Course List)

Calculus: Early Transcendental Functions

Single Variable Calculus: Early Transcendentals

Mathematical Applications for the Management, Life, and Social Sciences

Elements Of Modern Algebra

Elementary Technical Mathematics

Trigonometry (MindTap Course List)

Intermediate Algebra

Calculus: Early Transcendental Functions (MindTap Course List)

Single Variable Calculus

Calculus: An Applied Approach (MindTap Course List)

Finite Mathematics

Calculus of a Single Variable

Calculus: Early Transcendentals

Multivariable Calculus

Introduction To Statistics And Data Analysis

Study Guide for Stewart's Multivariable Calculus, 8th

Elementary Geometry for College Students

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