Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 8.1, Problem 42AYU
Bull Markets A bull market is defined as a market condition in which the price of a security rises for an extended period of time. A bull market in the stock market is often defined as a condition in which a market rises by 20% or more without a 20% decline. The data on the next page represent the number of months and percentage change in the S&P500 (a group of 500 stocks) during the 25 bull markets dating back to 1929 (the year of the famous market crash).
- a. Treating the length of the bull market as the explanatory variable, draw a
scatter diagram of the data. - b. Determine the linear
correlation coefficient between months and percent change. - c. Does a linear relation exist between duration of the bull market and market performance?
- d. Find the least-squares regression line treating length of the bull market as the explanatory variable.
- e. Interpret the slope.
- f. Did the bull market that lasted 50.4 months have a percent change above or below what would be expected? Explain.
- g. Draw a residual plot. Any outliers?
- h. Would you consider the bull market from December 4, 1987 through March 24, 2000, which lasted 149.8 months and saw a 582.15% rise in stock prices, influential? Explain. Note: After this bull market, the market entered a bear market that lasted 18.2 months and saw the stock market decline 37%. This era is often referred to as the ”Tech Bubble.”
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9.2 Testing the Mean mu:
Problem 3
(1 point)
Test the claim that the population of sophomore college
students has a mean grade point average greater than 2.2.
Sample statistics include n = 71, x = 2.44, and s = 0.9.
Use a significance level of a = 0.01.
The test statistic is
The P-Value is between :
The final conclusion is
< P-value <
A. There is sufficient evidence to support the claim that
the mean grade point average is greater than 2.2.
○ B. There is not sufficient evidence to support the claim
that the mean grade point average is greater than 2.2.
Note: You can earn partial credit on this problem.
Note: You are in the Reduced Scoring Period. All work counts for
50% of the original.
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Chapter 8 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 8.1 - The _____ _____ of the sample mean, x, is the...Ch. 8.1 - Suppose a simple random sample of size n is drawn...Ch. 8.1 - The standard deviation of the sampling...Ch. 8.1 - True or False: The distribution of the sample...Ch. 8.1 - True or False: The distribution of the sample...Ch. 8.1 - True or False: To cut the standard error of the...Ch. 8.1 - A simple random sample of size n = 10 is obtained...Ch. 8.1 - A simple random sample of size n = 40 is obtained...Ch. 8.1 - In Problems 912, determine x and x from the given...Ch. 8.1 - In Problems 912, determine x and x from the given...
Ch. 8.1 - In Problems 912, determine x and x from the given...Ch. 8.1 - In Problems 912, determine x and x from the given...Ch. 8.1 - Answer the following questions for the sampling...Ch. 8.1 - Answer the following questions for the sampling...Ch. 8.1 - A simple random sample of size n = 49 is obtained...Ch. 8.1 - A simple random sample of size n = 36 is obtained...Ch. 8.1 - A simple random sample of size n = 12 is obtained...Ch. 8.1 - A simple random sample of size n = 20 is obtained...Ch. 8.1 - NW Gestation Period The length of human...Ch. 8.1 - Upper Leg Length The upper leg length of 20- to...Ch. 8.1 - Reading Rates The reading speed of second grade...Ch. 8.1 - Old Faithful The most famous geyser in the world....Ch. 8.1 - Rates of Return in Stocks The SP 500 is a...Ch. 8.1 - Winning Poker A very good poker player is expected...Ch. 8.1 - NW Oil Change The shape of the distribution of the...Ch. 8.1 - Time Spent in the Drive-Through The...Ch. 8.1 - Insect Fragments The Food and Drug Administration...Ch. 8.1 - Burger Kings Drive-Through Suppose that cars...Ch. 8.1 - Watching Television The amount of time Americans...Ch. 8.1 - ATM Withdrawals According to Crown ATM Network,...Ch. 8.1 - Sampling Distributions The following data...Ch. 8.1 - Sampling Distributions The following data...Ch. 8.1 - Putting It Together: Playing Roulette In the game...Ch. 8.1 - Explain what a sampling distribution is.Ch. 8.1 - State the Central Limit Theorem.Ch. 8.1 - We assume that we are obtaining simple random...Ch. 8.1 - Without doing any computation, decide which has a...Ch. 8.1 - For the three probability distributions shown,...Ch. 8.1 - Suppose Jack and Diane are each attempting to use...Ch. 8.1 - Sleepy Suppose you want to study the number of...Ch. 8.1 - Sleepy Again Suppose you want to study the number...Ch. 8.1 - Bull Markets A bull market is defined as a market...Ch. 8.2 - In a town of 500 households, 220 have a dog. The...Ch. 8.2 - The _____ _____, denoted p, is given by the...Ch. 8.2 - True or False: The population proportion and...Ch. 8.2 - True or False: The mean of the sampling...Ch. 8.2 - Describe the circumstances under which the shape...Ch. 8.2 - What happens to the standard deviation of p as the...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - In Problems 710, describe the sampling...Ch. 8.2 - A simple random sample of size n = 75 is obtained...Ch. 8.2 - A simple random sample of size n = 200 is obtained...Ch. 8.2 - Prob. 13AYUCh. 8.2 - A simple random sample of size n = 1460 is...Ch. 8.2 - Foreign Language According to a study done by...Ch. 8.2 - Are You Satisfied? According to a study done by...Ch. 8.2 - NW Marriage Obsolete? According to a study done by...Ch. 8.2 - Credit Cards According to creditcard.com, 29% of...Ch. 8.2 - Afraid to Fly According to a study conducted by...Ch. 8.2 - Having Children? The Pew Research Center recently...Ch. 8.2 - Election Prediction Exit polling is a popular...Ch. 8.2 - Acceptance Sampling A shipment of 50,000...Ch. 8.2 - Social Security Reform A researcher studying...Ch. 8.2 - Prob. 24AYUCh. 8.2 - Reincarnation Suppose 21% of all American teens...Ch. 8.2 - Assessments Consider the homeowners association...Ch. 8.2 - Airline Reservations In Chapter 6, We learned that...Ch. 8.2 - Finite Population Correction Factor In this...Ch. 8.2 - Fumbles The New England Patriots made headlines...Ch. 8 - In your own words, explain what a sampling...Ch. 8 - Prob. 2RECh. 8 - Under what conditions is the sampling distribution...Ch. 8 - Prob. 4RECh. 8 - Energy Need during Pregnancy The total energy need...Ch. 8 - Copper Tubing A machine at KA Tube Manufacturing...Ch. 8 - Number of Televisions Based on data obtained from...Ch. 8 - Entrepreneurship A Gallup survey indicated that...Ch. 8 - Advanced Degrees According to the U.S. Census...Ch. 8 - Variability in Baseball Suppose, during the course...Ch. 8 - Prob. 1CTCh. 8 - Prob. 2CTCh. 8 - The charge life of a certain lithium ion battery...Ch. 8 - A machine used for filling plastic bottles with a...Ch. 8 - Prob. 5CTCh. 8 - Prob. 6CTCh. 8 - Prob. 7CTCh. 8 - Using statistical software, generate 250 samples...Ch. 8 - Prob. 2CSCh. 8 - Prob. 3CSCh. 8 - Prob. 4CSCh. 8 - Prob. 5CSCh. 8 - Prob. 6CSCh. 8 - Prob. 7CSCh. 8 - Prob. 8CSCh. 8 - Prob. 9CSCh. 8 - Prob. 10CSCh. 8 - Prob. 11CSCh. 8 - Prob. 12CSCh. 8 - Repeat parts 11 and 12 for samples of size 20...Ch. 8 - Prob. 14CSCh. 8 - How do the averages of your sample means compare...Ch. 8 - Prob. 16CSCh. 8 - Prob. 17CSCh. 8 - Construct histograms for each column of summary...Ch. 8 - Prob. 19CS
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