/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 1 At Rachel鈥檚 11th birthday part... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 1 (page 600)

At Rachel鈥檚 11th birthday party, eight girls were timed to see how long (in seconds) they could hold their breath in a

relaxed position. After a two-minute rest, they timed themselves while jumping. The girls thought that the mean difference

between their jumping and relaxed times would be zero. Test their hypothesis.

Short Answer

Expert verified

Since p- the value is greater than 伪=0.05,we cannot reject the hypothesis H0and we can conclude that it is insufficient

evidence to conclude that the average difference is not zero.

Step by step solution

01

Given Information 

We need to test the hypothesis

02

Explanation 

We can take X1-X2to represent the difference between jumping and relaxed time.

We want to test this hypothesis:

H0:渭1=渭2H1:渭1鈮�渭2

In order to test the hypothesis, we are using the Student's test.

03

Simplification 

We need to find the mean and stand deviation of both samples:

渭1=32.375,s1=9.620477渭2=30.625,s2=8.331309

The differences between jumping and relaxed times are given by:

5, 7, 2, 1, - 2, 2, 2 -3

The number of differences is 伪=1.75:

鈭�i-18(di-a)2=75.5

Standard deviation differences are:

8=1n-1鈭�i-18(di-a)2=75.57=3.284

The standard error is: SE=n8=1.161

We can find the value of the test statistic is:

t=渭1-渭2SE=1.507

04

Graphical Presentation 

Using the applet, we get that p-value is 0.17554:

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.

Over 30 million students worldwide already upgrade their learning with 91影视!

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. The mean speeds of fastball pitches from two different baseball pitchers are to be compared. A sample of 14 fastball pitches is measured from each pitcher. The populations have normal distributions. Table 10.18 shows the result. Scouters believe that Rodriguez pitches a speedier fastball.

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.

Draw the graph of the p-value.

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.

Find the p-value.

Use the following information to answer the next five exercises. The mean speeds of fastball pitches from two different

baseball pitchers are to be compared. A sample of 14 fastball pitches is measured from each pitcher. The populations have

normal distributions. Table 10.18 shows the result. Scouters believe that Rodriguez pitches a speedier fastball.

State the null and alternative hypotheses.

Use the following information to answer the next 15 exercises: Indicate if the hypothesis test is for

a. independent group means, population standard deviations, and/or variances known

b. independent group means, population standard deviations, and/or variances unknown

c. matched or paired samples

d. single mean

e. two proportions

f. single proportion

A new WiFi range booster is being offered to consumers. A researcher tests the native range of 12 different routers under the same conditions. The ranges are recorded. Then the researcher uses the new WiFi range booster and records the new ranges. Does the new WiFi range booster do a better job?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Probability and Statistics

Read Explanation

Statistics

Read Explanation

Calculus

Read Explanation

Applied Mathematics

Read Explanation

Decision Maths

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.