Introductory Statistics
1st Edition
ISBN: 9781938168208
Author: Barbara Illowsky, Susan Dean
Publisher: OpenStax College
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Chapter 11, Problem 4P
Where is µ located on a chi-square curve?
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7. [10] Suppose that Xi, i = 1,..., 5, are independent normal random variables, where
X1, X2 and X3 have the same distribution N(1, 2) and X4 and X5 have the same
distribution N(-1, 1). Let
(a) Find V(X5 - X3).
1
= √(x1 + x2) — — (Xx3 + x4 + X5).
(b) Find the distribution of Y.
(c) Find Cov(X2 - X1, Y).
-
1. [10] Suppose that X ~N(-2, 4). Let Y = 3X-1.
(a) Find the distribution of Y. Show your work.
(b) Find P(-8< Y < 15) by using the CDF, (2), of the standard normal distribu-
tion.
(c) Find the 0.05th right-tail percentage point (i.e., the 0.95th quantile) of the distri-
bution of Y.
Chapter 11 Solutions
Introductory Statistics
Ch. 11 - A factory manager needs to understand how many...Ch. 11 - Teachers want to know which night each week their...Ch. 11 - The expected percentage of the number of pets...Ch. 11 - Students in a social studies class hypothesize...Ch. 11 - A sample of 300 students is taken. Of the students...Ch. 11 - The Bureau of Labor Statistics gathers data about...Ch. 11 - Refer back to the information in Try It. How many...Ch. 11 - Do families and singles have the same distribution...Ch. 11 - Ivy League schools receive many applications, but...Ch. 11 - A SCUBA instructor wants to record the collective...
Ch. 11 - The FCC conducts broadband speed tests to measure...Ch. 11 - If the number of degrees of freedom for a...Ch. 11 - If df > 90, the distribution is _____________. If...Ch. 11 - When does the chi-square curve approximate a...Ch. 11 - Where is µ located on a chi-square curve?Ch. 11 - Is it more likely the df is 90, 20, or two in the...Ch. 11 - Determine the appropriate test to be used in the...Ch. 11 - Determine the appropriate test to be used in the...Ch. 11 - Determine the appropriate test to be used in the...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - x2test statistic = ______. Use the following...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Test of Independence Determine the appropriate...Ch. 11 - Test of Independence Determine the appropriate...Ch. 11 - Test of Independence Determine the appropriate...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - a = 0.05 a. Decision: ___________________ b....Ch. 11 - a = 0.01 a. Decision: ___________________ b....Ch. 11 - A math teacher wants to see if two of her classes...Ch. 11 - What are the null and alternative hypotheses for...Ch. 11 - A market researcher wants to see if two different...Ch. 11 - A meteorologist wants to know if East and West...Ch. 11 - What condition must be met to use the test for...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Which test do you use to decide whether an...Ch. 11 - What is the null hypothesis for the type of test...Ch. 11 - Which test would you use to decide whether two...Ch. 11 - Which test would you use to decide if two...Ch. 11 - How are tests of independence similar to tests for...Ch. 11 - How are tests of independence different from tests...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - As the number of degrees of freedom increases, the...Ch. 11 - The standard deviation of the chi-square...Ch. 11 - The mean and the median of the chi-square...Ch. 11 - A six-sided die is rolled 120 times. Fill in the...Ch. 11 - The marital status distribution of the U.S. male...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - The City of South Lake Tahoe, CA, has an Asian...Ch. 11 - Use the following information to answer the next...Ch. 11 - Use the following information to answer the next...Ch. 11 - In a goodness-of-fit test, the expected values are...Ch. 11 - In general, if the observed values and expected...Ch. 11 - Use a goodness-of-fit test to determine if high...Ch. 11 - The test to use to determine if a six-sided die is...Ch. 11 - In a goodness-of fit test, if the p-value is...Ch. 11 - A sample of 212 commercial businesses was surveyed...Ch. 11 - Table 11.42 contains information from a survey...Ch. 11 - A recent debate about where in the United States...Ch. 11 - Car manufacturers are interested in whether there...Ch. 11 - College students may be interested in whether or...Ch. 11 - Some travel agents claim that honeymoon hot spots...Ch. 11 - A manager of a sports club keeps information...Ch. 11 - A major food manufacturer is concerned that the...Ch. 11 - According to Dan Lenard, an independent insurance...Ch. 11 - Suppose that 600 thirty-year-olds were surveyed to...Ch. 11 - The number of degrees of freedom for a test of...Ch. 11 - The test for independence uses tables of observed...Ch. 11 - The test to use when determining if the college or...Ch. 11 - In a test of independence, the expected number is...Ch. 11 - An ice cream maker performs a nationwide survey...Ch. 11 - Table 11.52 provides a recent survey of the...Ch. 11 - A 2013 poll in California surveyed people about...Ch. 11 - A psychologist is interested in testing whether...Ch. 11 - Do men and women select different breakfasts? The...Ch. 11 - A fisherman is interested in whether the...Ch. 11 - In 2007, the United States had 1.5 million...Ch. 11 - When looking at energy consumption, we are often...Ch. 11 - The Insurance Institute for Highway Safety...Ch. 11 - Is there a difference between the distribution of...Ch. 11 - If df = 2, the chi-square distribution has a shape...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - Test of a Single Variance Use the following...Ch. 11 - A plant manager is concerned her equipment may...Ch. 11 - Consumers may be interested in whether the cost of...Ch. 11 - Isabella, an accomplished Bay to Breakers runner,...Ch. 11 - Airline companies are interested in the...Ch. 11 - The number of births per woman in China is 1.6...Ch. 11 - According to an avid aquarist, the average number...Ch. 11 - The manager of "Frenchies" is concerned that...Ch. 11 - You want to buy a specific computer. A sales...Ch. 11 - A company packages apples by weight. One of the...Ch. 11 - a. Explain why a goodness-of-fit test and a test...
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