Chapter 6, Problem 6.7P

BuyFind*arrow_forward*

4th Edition

HEALEY + 1 other

ISBN: 9781305093836

Textbook Problem

**a.** They reported that they had spent an average of

**b.** They also reported that they had visited the health clinic an average of 1.5 times a semester, with a sample standard deviation of 0.3.

**c.** On the average, the sample had missed 2.8 days of classes per semester because of illness, with a sample standard deviation of 1.0.

**d.** On the average, the sample had missed 3.5 days of classes per semester for reasons other than illness, with a sample standard deviation of 1.5.

To determine

a)

**To find:**

The 99% confidence interval for the population mean.

Explanation

**Given:**

The given information is,

A random sample of 429 college students was interviewed about a number of matters.

They reported that they had spent an average of

**Description:**

The confidence interval is an interval estimate from the statistics of the observed data that might contain the true value of the unknown population parameter.

**Formula used:**

For large samples and given sample standard deviation, the confidence interval (*c.i.*) for population mean is given by,

Where,

*Z* is the *Z* score determined by the alpha level and,

*N* is the sample size.

**Calculation:**

From the given information, the sample size is 429, sample mean is

For 99%, the *Z* value is given as,

For large samples and given sample standard deviation, the confidence interval (*c*

To determine

b)

**To find:**

The 99% confidence interval for the population mean.

To determine

c)

**To find:**

The 99% confidence interval for the population mean.

To determine

d)

**To find:**

The 99% confidence interval for the population mean.

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

Calculus: Early Transcendentals

Finite Mathematics and Applied Calculus (MindTap Course List)

Applied Calculus

Calculus: An Applied Approach (MindTap Course List)

Precalculus: Mathematics for Calculus (Standalone Book)

Multivariable Calculus

Single Variable Calculus: Early Transcendentals, Volume I

Calculus: Early Transcendental Functions

Statistics for The Behavioral Sciences (MindTap Course List)

Calculus (MindTap Course List)

Probability and Statistics for Engineering and the Sciences

Understanding Basic Statistics

Single Variable Calculus

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

Intermediate Algebra

Finite Mathematics

Elementary Geometry For College Students, 7e

Mathematical Applications for the Management, Life, and Social Sciences

Mathematical Excursions (MindTap Course List)

Elementary Technical Mathematics

Elements Of Modern Algebra

Contemporary Mathematics for Business & Consumers

Trigonometry (MindTap Course List)

Finite Mathematics for the Managerial, Life, and Social Sciences

Calculus of a Single Variable

Calculus: Early Transcendental Functions (MindTap Course List)

Single Variable Calculus: Early Transcendentals

Introduction To Statistics And Data Analysis

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

Elementary Geometry for College Students

Study Guide for Stewart's Multivariable Calculus, 8th