/*! 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} Problem 3 In addition to random samples, w... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 13: Problem 3

In addition to random samples, what other conditions are required for using the two-sample \(t\) -test?

Short Answer

Expert verified
In addition to random sampling, the conditions required for a two-sample \(t\)-test include the assumptions that the population distributions are normal, variances are equal, and the samples are independent.

Step by step solution

01

Understand the two-sample t-test

The two-sample \(t\)-test is a hypothesis statistic test used to determine if two population means are equal. It's important to know that there are specific conditions under which this test is applicable.
02

Identify the conditions

In addition to the need for the samples to be random, three further conditions must be met to legally apply the two-sample \(t\)-test: 1) The populations from which the samples are taken must be normally distributed. 2) The populations must have the same variance (this assumption can be relaxed to some extent). 3) The samples are independent of each other, which implies that the observations in one sample don't affect the observations in the other sample.

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

A student wishes to buy a used car. He finds a consumer website that says the price of a used car is determined by its age according to the following formula: Predicted price in thousands of dollars \(=17-0.8\) (age in years) This is the deterministic component of a regression model for predicting price on the basis of the age of the car. What factors might contribute to the random component? In other words, why might the price of the car he buys not fall exactly on this line?

Suppose you give a random sample of students a questionnaire about extraversion, and some (10) are classified as extraverts and some (15) as not extraverts. You want to determine whether the typical GPA is higher for extraverts than for those who are not extraverts. Which test(s) can be used for each situation below? a. Both distributions are strongly skewed. b. Both distributions are nearly Normal. c. You have 100 extraverts and 150 who are not extraverts, and both distri- butions are skewed. Explain your choice of test.

3.9 Geometric Mean a. Find the geometric mean for the numbers 10, 1000, and 10000 by using the following steps: i. Find the log of each number. ii. Average the 3 logs found in part a and report the value. iii. Find the antilog of the average by raising 10 to the power obtained in part ii. The result is the geometric mean. Round it to the one decimal place as needed. b. Find the mean and the median of the original 3 numbers. Then write the values for the geometric mean, the mean, and the median from smallest to largest.

A doctor says he can predict the height (in inches) of a child between 2 and 9 years old from the child's age (in years) by using the equation Predicted Height \(=31.78+2.45\) Age This tells us the deterministic part of the regression model. What factors might contribute to the random component? In other words, why might a child's height not fall exactly on this line?

Figure A shows a scatterplot for the U.S. population (in millions) from 1950 to 1990 . Figure B shows a residual plot for the same data. The linear model based on these data for predicting the U.S. population given the year is also given. Should the linear model be used to predict the U.S. population in \(2020 ?\) If so, predict the 2020 U.S. population. If not, explain why use of this linear model would be inappropriate. (Source: demographia.com) $$ \text { pop }=-4518.89+2.397 \text { year } $$
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Applied Mathematics

Read Explanation

Geometry

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Statistics

Read Explanation

Probability and Statistics

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.