Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Chapter 9.1, Problem 29AYU
(a)
To determine
To construct: The 95% confidence interval of the population proportion of adults males treated with AndroGel who will experience elevated levels of PSA.
(b)
To determine
To construct: The 99% confidence interval of the population proportion of adults males treated with AndroGel who will experience elevated levels of PSA.
(c)
To determine
To find: The impact of increasing the level of confidence on the margin of error.
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Factor V is a protein involved in the forming of blood clots. The higher the level of factor V, the faster the blood clots. A Blood Transfusions Service is interested in the effects of sterilization of blood plasma because factor V is unstable and may break down during sterilization. The table below gives measured levels of factor V in blood samples from nine donors. Both pre- and post-sterilization measurements are given for each person. Test whether the mean factor V levels are different post-sterilization. Run the test at a 5% level of significance. Give each of the following 1) the appropriate null and alternative hypotheses; 2) the appropriate test; 3) the decision rule; 4) the calculation of the test statistic; and 5) your conclusion including a comparison to alpha or the critical value. Factor V measurements
Donor number
Pre-Sterilization
Post-Sterilization
1
1025
985
2
1060
1030
3
953
923
4
847
892
5
750
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6
855
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Anemia (low healthy blood cells or hemoglobin) has an important role in exercise performance.
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still unknown. A study investigated 18 patients with a blood disorder (beta-thalassemia).
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HB = Hemoglobin
RER = Respiratory exchange
ID
Change in
HB
Obese
RER > 1.1
ratio
No
No
1
-1.4
No
-1.5
No
Yes
No
Yes
3
-2
No
4
-2.1
No
-1.9
Yes
Yes
No
-1.6
-1.8
-0.8
6
7
No
Yes
No
Yes
8
9.
-1
No
No
-1.2
No
Yes
10
11
No
No
-0.8
-1.5
12
Yes
No
No
Yes
13
14
-1.4
-2.6
-1.7
No
No
Yes
Yes
15
Yes
No
Yes
Yes
16
-2.6
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17
18
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FIV (feline immunodeficiency virus) attacks a cat's immune system causing FAIDS (feline acquired immunodeficiency syndrome). It is estimated that between 2 and 25 percent of the global domestic cat population is infected with the virus. FIV is primarily transmitted from cat to cat through biting. A one-step immunochromatographic (IC) test has been developed for the detection of FIV antibodies. It is estimated that 94.7% of cats with FIV test positive and 96.1% of cats without FIV test negative using this test. Assume that 5% of the local cat population is actually infected with FIV.Use this information to answer the following:
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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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