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Chapter 3: Q. 78 (page 221)

Use the following information to answer the next twelve12exercises. The graph shown is based on more than 170,000interviews done by Gallup that took place from January through December 2012. The sample consists of employed Americans 18years of age or older. The Emotional Health Index Scores are the sample space. We randomly sample one Emotional Health Index Score.

Compute the average EHIS.

Short Answer

Expert verified

The average of Emotional health index scores is81.3.

Step by step solution

01

Definition for Average

An average may be a single number that represents a set of numbers, often the sum of the quantity's divided by the number of numbers within the collection (the arithmetic mean).

x¯=1n∑i=1nxi

localid="1649372305444" nis number of events.

02

Calculation for Average

There are14events in total.

We'll work out the common EHIS by putting all of the scores together and dividing the overall by14.

EHIS¯=114∑i=114EHISi

=79.6+80+80.1+80.2+80.3+80.7+80.9+81.5+81.7+81.8+82.3+82.7+82.7+83.714

EHIS¯=1141138.2

localid="1649366495851" =1138.214

=81.3

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Most popular questions from this chapter

A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with replacement). Find the probability of the following events:

a. Let F = the event of getting the white ball twice.

b. Let G = the event of getting two balls of different colors.

c. Let H = the event of getting white on the first pick.

d. Are F and G mutually exclusive?

e. Are G and H mutually exclusive?

What is the sum of the probabilities of an event and its complement?

Use the following information to answer the next six exercises. There are 23 countries in North America, 12 countries in

South America, 47 countries in Europe, 44 countries in Asia, 54 countries in Africa, and 14 in Oceania (Pacific Ocean

region).

Let A = the event that a country is in Asia.

Let E = the event that a country is in Europe.

Let F = the event that a country is in Africa.

Let N = the event that a country is in North America.

Let O = the event that a country is in Oceania.

Let S = the event that a country is in South America.

Find P(E).

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 64stamped, addressed envelopes with $10cash in different classrooms on the George Washington campus. 44%were returned overall. From the economics classes 56%of the envelopes were returned. From the business, psychology, and history classes 31%were returned.

Let:R = money returned;E = economics classes; O = other classes

a. Write a probability statement for the overall percent of money returned.

b. Write a probability statement for the percent of money returned out of the economics classes.

c. Write a probability statement for the percent of money returned out of the other classes.

d. Is money being returned independent of the class? Justify your answer numerically and explain it.

e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.

Find the probability that the person was Latino from the given data
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