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

Jumbo shrimp are those that require 10 to 15 shrimp to make a pound. Suppose that the number of jumbo shrimp in a 1-pound bag averages μ. = 12.5 with a standard deviation of s = 1, and forms a normal distribution. What is the probability of randomly picking a sample of n = 25 1-pound bags that average more than M = 13 shrimp per bag?

To determine
The probability of obtaining a sample of n=251-pound bags that average more than 13 shrimp per bag.

Explanation

Given info:

The number of jumbo shrimp in a 1-pound bag average is μ=12.5 with the standard deviation s=1 and it follows a normal distribution. The sample size is n=25 and the sample mean is M=13 .

Calculation:

The distribution of sample means is normal with the parameters μx¯ and σx¯, by using the central limit theorem.

The mean of the sampling distribution of sample means is given below:

μM=μ

Here, the population mean is μ=12.5. Therefore, the sampling distribution of the sample mean is μM=12.5.

The formula to find the standard deviation of the sample means (σM) is as follows:

σM=σn

Substitute 1 for σ and 25 for n

σM=125=15=0.2

Thus, the standard deviation of the sampling distribution of sample means is σM=0

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

Sum of Square (SS), variance and standard deviation

Statistics for The Behavioral Sciences (MindTap Course List)

Distance Find the distance between the given numbers. 73.

Precalculus: Mathematics for Calculus (Standalone Book)

In Exercises 7-12, solve for y in terms of x. y24x2=2

Calculus: An Applied Approach (MindTap Course List)

For the demand equations in Exercises 57-60. where x represents the quantity demanded in units of a thousand an...

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

Convert the following decimals or whole numbers to percents. 53

Contemporary Mathematics for Business & Consumers

Use Definition 9 to prove that limxex=. Definition 9

Single Variable Calculus: Early Transcendentals, Volume I

Using differentials, an approximation to (3.04)3 is: 28.094464 28.08 28.04 28

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