Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 9, Problem 8RE
A simple random sample of size n is drawn from a population. The sample
- a. Construct the 90% confidence interval for the population mean if the
sample size , n, is 30. - b. Construct the 90% confidence interval for the population mean if the sample size, n, is 51. How does increasing the sample size affect the width of the interval?
- c. Construct the 99% confidence interval for the population mean if the sample size, n, is 30. Compare the results to those obtained in part (a). How does increasing the level of confidence affect the confidence interval?
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Students have asked these similar questions
I just need to know why this is wrong below:
What is the test statistic W? W=5 (incorrect)
and
What is the p-value of this test? (p-value < 0.001-- incorrect)
Use the Wilcoxon signed rank test to test the hypothesis that the median number of pages in the statistics books in the library from which the sample was taken is 400. A sample of 12 statistics books have the following numbers of pages
pages
127
217
486
132
397
297
396
327
292
256
358
272
What is the sum of the negative ranks (W-)? 75 What is the sum of the positive ranks (W+)? 5What type of test is this? two tailedWhat is the test statistic W? 5 These are the critical values for a 1-tailed Wilcoxon Signed Rank test for n=12
Alpha Level
0.001
0.005
0.01
0.025
0.05
0.1
0.2
Critical Value
75
70
68
64
60
56
50
What is the p-value for this test? p-value < 0.001
ons
12. A sociologist hypothesizes that the crime rate is higher in areas
with higher poverty rate and lower median income. She col-
lects data on the crime rate (crimes per 100,000 residents),
the poverty rate (in %), and the median income (in $1,000s)
from 41 New England cities. A portion of the regression results
is shown in the following table.
Standard
Coefficients
error
t stat
p-value
Intercept
-301.62
549.71
-0.55 0.5864
Poverty
53.16
14.22
3.74 0.0006
Income
4.95
8.26
0.60 0.5526
a.
b.
Are the signs as expected on the slope coefficients?
Predict the crime rate in an area with a poverty rate of
20% and a median income of $50,000.
3. Using data from 50 work
2. The owner of several used-car dealerships believes that the
selling price of a used car can best be predicted using the car's
age. He uses data on the recent selling price (in $) and age of
20 used sedans to estimate Price = Po + B₁Age + ε. A portion
of the regression results is shown in the accompanying table.
Standard
Coefficients
Intercept
21187.94
Error
733.42
t Stat p-value
28.89 1.56E-16
Age
-1208.25
128.95 -9.37
2.41E-08
a. What is the estimate for B₁? Interpret this value.
b. What is the sample regression equation?
C. Predict the selling price of a 5-year-old sedan.
Chapter 9 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 9.1 - A _____ _____ is the value of a statistic that...Ch. 9.1 - The _____ ___ _____ represents the expected...Ch. 9.1 - True or False: A 95% confidence interval for a...Ch. 9.1 - The value z2 represents the of the distribution.Ch. 9.1 - As the level of confidence of a confidence...Ch. 9.1 - As the sample size used to obtain a confidence...Ch. 9.1 - In Problems 710, determine the critical value z/2...Ch. 9.1 - In Problems 710, determine the critical value z/2...Ch. 9.1 - In Problems 710, determine the critical value z/2...Ch. 9.1 - In Problems 710, determine the critical value z/2...
Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1114, determine the point estimate of...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - Prob. 19AYUCh. 9.1 - In Problems 1520, construct a confidence interval...Ch. 9.1 - NW You Explain It! New Deal Policies In response...Ch. 9.1 - Prob. 22AYUCh. 9.1 - You Explain It! Valentines Day A Rasmussen Reports...Ch. 9.1 - Prob. 24AYUCh. 9.1 - NW Giving Blood A survey of 2306 adult Americans...Ch. 9.1 - Saving for Retirement? A Retirement Confidence...Ch. 9.1 - Luxury or Necessity? A random sample of 1003 adult...Ch. 9.1 - Family Values In a USA Today/Gallup poll, 768 of...Ch. 9.1 - Prob. 29AYUCh. 9.1 - Reading In a survey of 700 community college...Ch. 9.1 - Phone in the John In a survey conducted by the...Ch. 9.1 - Deficit Reduction The Sullivan Statistics Survey I...Ch. 9.1 - Random Walk Go to...Ch. 9.1 - Language The Sullivan Statistics Survey I asks, Is...Ch. 9.1 - NW High-Speed Internet Access A researcher wishes...Ch. 9.1 - Home Ownership An urban economist wishes to...Ch. 9.1 - A Penny for Your Thoughts A researcher for the...Ch. 9.1 - Credit-Card Debt A school administrator is...Ch. 9.1 - Football Fans A television sports commentator...Ch. 9.1 - Prob. 40AYUCh. 9.1 - Prob. 41AYUCh. 9.1 - Prob. 42AYUCh. 9.1 - Senate Race Gallup polled 982 likely voters...Ch. 9.1 - Cauliflower? Jane wants to estimate the proportion...Ch. 9.1 - Walk to Work Alan wants to estimate the proportion...Ch. 9.1 - Putting It Together: Hand Washing The American...Ch. 9.1 - Prob. 48AYUCh. 9.1 - Prob. 49AYUCh. 9.1 - Prob. 50AYUCh. 9.1 - Prob. 51AYUCh. 9.1 - Prob. 52AYUCh. 9.1 - Prob. 53AYUCh. 9.1 - The 114th Congress of the United States of America...Ch. 9.2 - As the number of degrees of freedom in the...Ch. 9.2 - True or False: The t-distribution is centered at .Ch. 9.2 - The notation t is the t-value such that the area...Ch. 9.2 - True or False: The value of t0.10 with 5 degrees...Ch. 9.2 - True or False: To construct a confidence interval...Ch. 9.2 - Prob. 6AYUCh. 9.2 - NW a. Find the t-value such that the area in the...Ch. 9.2 - a. Find the t-value such that the area in the...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 912. a simple random sample of size n ...Ch. 9.2 - In Problems 1316, determine the point estimate of...Ch. 9.2 - In Problems 1316, determine the point estimate of...Ch. 9.2 - Prob. 15AYUCh. 9.2 - In Problems 1316, determine the point estimate of...Ch. 9.2 - A simple random sample of size n is drawn from a...Ch. 9.2 - A simple random sample of size n is drawn from a...Ch. 9.2 - Prob. 19AYUCh. 9.2 - A simple random sample of size n is drawn. The...Ch. 9.2 - You Explain It! Hours Worked In a survey conducted...Ch. 9.2 - You Explain It! Sleeping A 90% confidence interval...Ch. 9.2 - Prob. 23AYUCh. 9.2 - Prob. 24AYUCh. 9.2 - Hours Worked Revisited For the Hours Worked survey...Ch. 9.2 - Sleeping Revisited Refer to the Sleeping results...Ch. 9.2 - Blood Alcohol Concentration A random sample of 51...Ch. 9.2 - Hungry or Thirsty? How much time do Americans...Ch. 9.2 - Tootsie Pops A Tootsie Pop is a sucker with a...Ch. 9.2 - How Much Do You Read? A recent Gallup poll asked...Ch. 9.2 - NW pH of Rain The following data represent the pH...Ch. 9.2 - Travel Taxes Travelers pay taxes for flying, car...Ch. 9.2 - Crash Test Results The following data represent...Ch. 9.2 - Crawling Babies The following data represent the...Ch. 9.2 - Housing Starts The following data represent the...Ch. 9.2 - PepsiCo Stock Volume The trade volume of a stock...Ch. 9.2 - Tornadoes Go to...Ch. 9.2 - Tax Rate The Sullivan Statistics Survey II asks,...Ch. 9.2 - Prob. 39AYUCh. 9.2 - Prob. 40AYUCh. 9.2 - NW Sample Size Dr. Paul Oswiecmiski wants to...Ch. 9.2 - Sample Size Dr. Paul Oswiecmiski wants to estimate...Ch. 9.2 - Reading A recent Gallup poll asked Americans to...Ch. 9.2 - Television A researcher wanted to determine the...Ch. 9.2 - Prob. 45AYUCh. 9.2 - Effect of Outliers The following small data set...Ch. 9.2 - Putting It Together: Smoking Cessation Study...Ch. 9.2 - How Many Drinks? A question on the General Social...Ch. 9.2 - Prob. 51AYUCh. 9.2 - The procedure for constructing a t-interval is...Ch. 9.2 - Prob. 53AYUCh. 9.2 - Prob. 54AYUCh. 9.2 - Suppose you have two populations: Population AAll...Ch. 9.2 - Prob. 56AYUCh. 9.3 - For what type of variable does it make sense to...Ch. 9.3 - For what type of variable does it makes sense to...Ch. 9.3 - What requirements must be satisfied in order to...Ch. 9.3 - What requirements must be satisfied in order to...Ch. 9.3 - In Problems 512, construct the appropriate...Ch. 9.3 - Prob. 6AYUCh. 9.3 - Prob. 7AYUCh. 9.3 - Prob. 8AYUCh. 9.3 - Prob. 9AYUCh. 9.3 - Prob. 10AYUCh. 9.3 - Prob. 11AYUCh. 9.3 - Prob. 12AYUCh. 9.3 - Prob. 13AYUCh. 9.3 - Prob. 14AYUCh. 9.3 - Worried about Retirement? In a survey of 1008...Ch. 9.3 - Theme Park Spending In a random sample of 40...Ch. 9.3 - Fastball Clayton Kershaw of the Los Angeles...Ch. 9.3 - Prob. 18AYUCh. 9.3 - Sleep Apnea and Gum Disease Sleep apnea is a...Ch. 9.3 - Weight Gain Researchers conducted a study to see...Ch. 9.3 - Prob. 21AYUCh. 9.3 - Researchers at the Gallup Organization asked a...Ch. 9.3 - A researcher wanted to know whether consumption of...Ch. 9.3 - Prob. 24AYUCh. 9 - Find the critical t-value for constructing a...Ch. 9 - IQ Scores Many of the examples and exercises in...Ch. 9 - Prob. 3RECh. 9 - Prob. 4RECh. 9 - The area under the t-distribution with 18 degrees...Ch. 9 - Which is larger, the area under the t-distribution...Ch. 9 - Prob. 7RECh. 9 - A simple random sample of size n is drawn from a...Ch. 9 - A simple random sample of size n is drawn from a...Ch. 9 - Long Life? In a survey of 35 adult Americans, it...Ch. 9 - Prob. 11RECh. 9 - Prob. 12RECh. 9 - Prob. 13RECh. 9 - Prob. 14RECh. 9 - Hypertension In a random sample of 678 adult males...Ch. 9 - Prob. 1CTCh. 9 - Prob. 2CTCh. 9 - A question on the General Social Survey was this:...Ch. 9 - Prob. 4CTCh. 9 - The campus at Joliet Junior College has a lake. A...Ch. 9 - From a random sample of 1201 Americans, it was...Ch. 9 - Wimbledon Match Lengths A tennis enthusiast wants...
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