/*! 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. 10.117 Ha:渭1鈮犖�2... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. 10.117 (page 441)

Ha:渭1鈮�渭2

Short Answer

Expert verified

Since the value of test statistic is fall in the rejection region.

Thus, the nullhypothesis is rejected.

Step by step solution

01

Given Information

The hypothesis is

H0:渭1=渭2,Ha:渭1鈮�渭2

and the level of significance is 0.1.

02

Explanation

We have to find the sample mean as follow:

d炉=鈭�dn

=187

=2.571

Let's compute the standard deviation:

sd=鈭�di2-鈭�di2nn-1

=76-(18)277-1

=2.2254

The test statistics are,

t=d炉sdnn

Replace the given values in the equation above.

z=2.57122047

=3.06

Compute the degree of freedom as follow

df=n-1

=7-1=6

The critical value for a level of significance of 0.1is 1.943.

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

Two-Tailed Hypothesis Tests and CIs. As we mentioned on page 413, the following relationship holds between hypothesis tests and confidence intervals: For a two-tailed hypothesis test at the significance level 伪, the null hypothesis H0:渭1=渭2 will be rejected in favor of the alternative hypothesis H2:渭1鈮�渭2 if and only if the (1-伪)-level confidence interval for 渭1-渭2 does not contain 0. In each case, illustrate the preceding relationship by comparing the results of the hypothesis test and confidence interval in the specified exercises.

a. Exercises 10.81 and 10.87

b. Excrcises 10.86 and 10.92

A variable of two populations has a mean of 7.9and a standard deviation of 5.4for one of the populations and a mean of 7.1and a standard deviation of 4.6for the other population. Moreover. the variable is normally distributed in each of the two populations.

a. For independent samples of sizes 3and 6, respectively, determine the mean and standard deviation of x1-x2.

b. Can you conclude that the variable x1-x2is normally distributed? Explain your answer.

c. Determine the percentage of all pairs of independent samples of sizes 4and 16, respectively, from the two populations with the property that the differencex1-x2 between the simple means is between -3and 4.

The primary concern is deciding whether the mean of Population 1 differs from the mean of Population 2 .

Suppose that the sample sizes, n4and n2, are equal for independent simple random samples from two populations.

a. Show that the values of the pooled and nonpooled r-statistics will be identical. (Hint: Refer to Exercise 10.61 on page 417.)

b. Explain why part (a) does not imply that the two t-tests are Equivalent (i.e., will necessarily lead to the same conclusion) when the sample sizes are equal.

A variable of two population has a mean of 40and standard deviation of 12for one of the population and a mean of 40and a standard deviation of 6 for the other population.

a. For independent samples of sizes 9and4respectively find the mean and standard deviation of x1-x2

b. Must the variable under consideration be normally distributed on each of the two population for you to answer part (a) ? Explain your answer.

b. Can you conclude that the variable x1-x2is normally distributed? Explain your answer.
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Decision Maths

Read Explanation

Discrete Mathematics

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.