Chapter 7, Problem 20P

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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 = 25 1-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

**Calculation:**

The distribution of sample means is normal with the parameters

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

Here, the population mean is

The formula to find the standard deviation of the sample means

Substitute 1 for
*n*

Thus, the standard deviation of the sampling distribution of sample means is

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