BuyFindarrow_forward

Essentials of Statistics for the B...

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

Solutions

Chapter
Section
BuyFindarrow_forward

Essentials of Statistics for the B...

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

The population of IQ scores forms a normal distribution with a mean of μ = 100 and a standard deviation of σ = 15. What is the probability of obtaining a sample mean greater than M = 97.

  1. a. for a random sample of n = 9 people?
  2. b. for a random sample of n = 25 people?

a.

To determine

To dtermine: The probability of obtaining a sample mean greater than M=97 for given sample.

Explanation

Given info:

Numbers of people in a random sample are n=9 with population mean is μ=100 and  population standard deviation is σ=15 with sample mean is M=97.

Calculation:

If μ and σ represents the population mean and standard deviation respectively. Let n represents numbers of scores in each sample. Let M represents given sample mean. Then,

μ=100σ=15n=9M=97

Let X¯ represents the random sample mean from given distribution. Let μM and σM represents mean and standard error of X¯ Then, expected mean of X¯ will be same as population mean and standard error is calculated as:

μM=100σM=159=153=5

Let p represents the probability that random mean is greater than M=97

b.

To determine
The probability of obtaining a sample mean greater than M=97 for given sample.

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

Additional Math Solutions

Find more solutions based on key concepts

Show solutions add

Convert the expressions in Exercises 6584 to power form. 23(x2+1)33(x2+1)734

Finite Mathematics and Applied Calculus (MindTap Course List)

In Exercises 5-10, solve for y in terms of x. y(5)=1[ x(2) ]

Calculus: An Applied Approach (MindTap Course List)

Find the derivative of the function. y=xxettdt

Single Variable Calculus: Early Transcendentals, Volume I

In Exercises 9-16, complete the table by computing f(x) at the given values of x. Use these results to estimate...

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

Find the present value of 150000 due in 5 years at 938%/year compounded monthly.

Finite Mathematics for the Managerial, Life, and Social Sciences

Prove that is irrational.

Elements Of Modern Algebra

Evaluate the integrals in Problems 5-28. Check your answers by differentiating. 19.

Mathematical Applications for the Management, Life, and Social Sciences

In Exercises 1 to 6, find cos and cos.

Elementary Geometry for College Students

limh0ah1h=1 for a = a) 0 b) 1 c) e d) The limit is never 1.

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

True or False: If C is a curve given by r(t) when a ≤ t ≤ b, then

Study Guide for Stewart's Multivariable Calculus, 8th