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The relative frequency histogram given next was

Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer ISBN: 9780495110811 47

Solution for problem 6E Chapter 1

Mathematical Statistics with Applications | 7th Edition

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Mathematical Statistics with Applications | 7th Edition | ISBN: 9780495110811 | Authors: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer

Mathematical Statistics with Applications | 7th Edition

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Problem 6E

Problem 6E

The relative frequency histogram given next was constructed from data obtained from a random sample of 25 families. Each was asked the number of quarts of milk that had been purchased the previous week.

a Use this relative frequency histogram to determine the number of quarts of milk purchased by the largest proportion of the 25 families. The category associated with the largest relative frequency is called the modal category.

b What proportion of the 25 families purchased more than 2 quarts of milk?

c What proportion purchased more than 0 but fewer than 5 quarts?

Step-by-Step Solution:
Step 1 of 3

Solution 6E

Step1 of 4:

Let us consider a relative frequency Histogram it presents number of quarts of milk that had been purchased the previous week:

Here our goal is:

a). We need to determine the number of quarts of milk purchased by the largest proportion of the 25 families by using this relative frequency histogram.

b). We need to find the proportion of the 25 families purchased more than 2 quarts of milk.

c). We need to find the proportion purchased more than 0 but fewer than 5 quarts.


Step2 of 4:

a).

From the above given Relative frequency Histogram we can say that more number of people falls under 2 quarts modal category. Therefore 9 out of 25 people falls in this category.


 Step3 of 4:

b).

From the above given Relative frequency Histogram we can say that out of 25 families 9 people purchased more than 2 quarts of milk.

That is quarts 3 has relative frequency 0.2

            quarts 4 has relative frequency 0.12

            quarts 5 has relative frequency 0.04

Now,

     Proportion = 0.2 + 0.12 + 0.04

= 0.36

Hence, Proportion is 36%.


Step4 of 4:

c).

From the above given Relative frequency Histogram we can say that out of 25 families 8% people purchased from 0 Quarts and 4% people purchased from 5 Quarts of milk.

That is quarts 1 has relative frequency 0.2

            quarts 2 has relative frequency 0.36

            quarts 3 has relative frequency 0.2

            quarts 4 has relative frequency 0.12

Now,

                 Proportion = 0.2 + 0.36 + 0.2 + 0.12

= 0.88

Hence, Proportion is 88%.


 

 

Step 2 of 3

Chapter 1, Problem 6E is Solved
Step 3 of 3

Textbook: Mathematical Statistics with Applications
Edition: 7
Author: Dennis Wackerly; William Mendenhall; Richard L. Scheaffer
ISBN: 9780495110811

The full step-by-step solution to problem: 6E from chapter: 1 was answered by , our top Statistics solution expert on 07/18/17, 08:07AM. Since the solution to 6E from 1 chapter was answered, more than 831 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: Mathematical Statistics with Applications , edition: 7. The answer to “The relative frequency histogram given next was constructed from data obtained from a random sample of 25 families. Each was asked the number of quarts of milk that had been purchased the previous week. a Use this relative frequency histogram to determine the number of quarts of milk purchased by the largest proportion of the 25 families. The category associated with the largest relative frequency is called the modal category.b What proportion of the 25 families purchased more than 2 quarts of milk?c What proportion purchased more than 0 but fewer than 5 quarts?” is broken down into a number of easy to follow steps, and 94 words. This full solution covers the following key subjects: purchased, quarts, frequency, relative, families. This expansive textbook survival guide covers 32 chapters, and 3350 solutions. Mathematical Statistics with Applications was written by and is associated to the ISBN: 9780495110811.

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