Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 10: Q. 28 (page 597)

Use the following information to answer the next \(12\) exercises: The U.S. Center for Disease Control reports that the mean life expectancy was \(47.6\) years for whites born in \(1900\) and \(33.0\) years for nonwhites. Suppose that you randomly survey death records for people born in \(1900\) in a certain county. Of the \(124\) whites, the mean life span was \(45.3\) years with a standard deviation of \(12.7\) years. Of the \(82\) nonwhites, the mean life span was \(34.1\) years with a standard deviation of \(15.6\) years. Conduct a hypothesis test to see if the mean life spans in the county were the same for whites and nonwhites.

Find the \(p-\)value.

Short Answer

Expert verified

\(p-\)value approximately \(0\)

Step by step solution

01

Step 1. Given information

  • The Whites born in \(1900\) had a life expectancy of \(47.6\) years
  • The nonwhites had a life expectancy of \(33.0\) years.
  • The average life duration of the \(124\) whites was \(45.3\) years, with a standard deviation of \(12.7\) years.
  • The average life span of the \(82\)nonwhites was \(34.1\) years, with a standard deviation of \(15.6\) years.
02

Step 2. Calculation

To find the \(p-\)value press STAT and twice to select TESTS.

Select the \(2\) sample T test and press ENTER as displayed,

Use the \(\rightarrow\) select Stats and enter the provided sample values.

Once all the sample entries are made press to obtain the results as,

From the above output the p-value is \(5.315896E-85.315896E-8\) which is approximately equal to \(0\).

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Use the following information to answer the next five exercises. A doctor wants to know if a blood pressure medication is effective. Six subjects have their blood pressures recorded. After twelve weeks on the medication, the same six subjects have their blood pressure recorded again. For this test, only systolic pressure is of concern. Test at the 1%significance level.

What is the sample mean difference?

Marketing companies have collected data implying that teenage girls use more ring tones on their cellular phones than

teenage boys do. In one particular study of 40 randomly chosen teenage girls and boys (20 of each) with cellular phones,

the mean number of ring tones for the girls was 3.2 with a standard deviation of 1.5. The mean for the boys was 1.7 with

a standard deviation of 0.8. Conduct a hypothesis test to determine if the means are approximately the same or if the girls’

mean is higher than the boys’ mean.

The means of the number of revolutions per minute of two competing engines are to be compared. Thirty engines are randomly assigned to be tested. Both populations have normal distributions. Table given below shows the result. Do the data indicate that Engine 2 has higher RPM than Engine 1? Test at a 5%level of significance.

EngineSample mean number of RPMPopulation Standard Deviation
1150050
2160060

Use the following information to answer next five exercises. A study was conducted to test the effectiveness of a juggling class. Before the class started, six subjects juggled as many balls as they could at once. After the class, the same six subjects juggled as many balls as they could. The differences in the number of balls are calculated. The differences have a normal distribution. Test at the 1% significance level

What is the sample mean difference?

Use the following information to answer the next twelve exercises. In the recent Census, three percent of the U.S. population reported being of two or more races. However, the percent varies tremendously from state to state. Suppose that two random surveys are conducted. In the first random survey, out of 1,000 North Dakotans, only nine people reported being of two or more races. In the second random survey, out of 500 Nevadans, 17 people reported being of two or more races. Conduct a hypothesis test to determine if the population percents are the same for the two states or if the percent for Nevada is statistically higher than for North Dakota.

Does it appear that the proportion of Nevadans who are two or more races is higher than the proportion of NorthDakotans? Why or why not?
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Statistics

Read Explanation

Discrete Mathematics

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Logic and Functions

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.

Sign-up for free