Fundamentals of Statistics (5th Edition)
5th Edition
ISBN: 9780134508306
Author: Michael Sullivan III
Publisher: PEARSON
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Textbook Question
Chapter 11.4, Problem 28AYU
In Problems 22–31, for each study, explain which statistical procedure (estimating a single proportion; estimating a single mean; hypothesis test for a single proportion; hypothesis test for a single mean; hypothesis test or estimation of two proportions, hypothesis test or estimation of two means, dependent or independent) would most likely be used for the research objective given. Assume all model requirements for conducting the appropriate procedure have been satisfied.
28. Does turmeric (an antioxidant that can be added to foods) help with depression? Researchers randomly assigned 200 adult women who were clinically depressed to two groups. Group 1 had turmeric added to their regular diet for one week; group 2 had no additives in their diet. At the end of one week, the change in their scores on the Beck Depression Inventory was compared.
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The mean ±1 sd of ln [calcium intake (mg)] among 25females, 12 to 14 years of age, below the poverty level is6.56 ± 0.64. Similarly, the mean ± 1 sd of ln [calcium intake(mg)] among 40 females, 12 to 14 years of age, above thepoverty level is 6.80 ± 0.76.
A.What is the appropriate procedure to test for a significant difference in means between the two groups?B. Implement the procedure in Problem 8.3 using theD.critical-value method.C. What is the p-value corresponding to your answer toProblem 8.4? Compute a 95% CI for the difference in meansbetween the two groups.
Suppose we take a sample of 2,500 blood donors from a population for which 50% (0.5) have type O+ blood.
(a)
Into what range of possible values should the sample proportion fall 95% of the time, according to the Empirical Rule?
to
(b)
If the sample included only 625 donors instead of 2,500, would the range of possible sample proportions be wider, more narrow, or the same as with a sample of 2,500 donors? Explain your answer, and explain why it makes intuitive sense.
The range would be with 625 donors compared to a sample of 2,500 donors since the standard deviation of the sampling distribution would be . This makes intuitive sense because if fewer donors are included in the sample, the proportion will be reliable as an estimate of the proportion.
The main trial in problem 7 is conducted and involves a total of 200 patients. Patients are enrolled and randomized to receive either the experimental medication or the placebo. The data shown below is collected at the end of the study after 6 weeks on the assigned treatment. Test if there is a significant difference in the proportions of hypertensive patients between groups using a=0.05
Chapter 11 Solutions
Fundamentals of Statistics (5th Edition)
Ch. 11.1 - A sampling method is _____ when the individuals...Ch. 11.1 - A sampling method is _____ when the individuals...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - In Problems 38, determine whether the sampling is...Ch. 11.1 - Prob. 8AYUCh. 11.1 - In Problems 912, conduct each test at the = 0.05...Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...
Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...Ch. 11.1 - In Problems 912, conduct each test at the = 0.05...Ch. 11.1 - In Problems 1316, construct a confidence interval...Ch. 11.1 - Prob. 14AYUCh. 11.1 - In Problems 1316, construct a confidence interval...Ch. 11.1 - In Problems 1316, construct a confidence interval...Ch. 11.1 - NW Prevnar The drug Prevnar is a vaccine meant to...Ch. 11.1 - Prevnar Part 2 In randomized, double-blind...Ch. 11.1 - Prob. 19AYUCh. 11.1 - Views on the Death Penalty The Pew Research Group...Ch. 11.1 - NW Tattoos The Harris Poll conducted a survey in...Ch. 11.1 - Body Mass Index The body mass index (BMI) of an...Ch. 11.1 - Public Cell Phone Conversations Researchers at...Ch. 11.1 - Prob. 24AYUCh. 11.1 - Side Effects In clinical trials of the allergy...Ch. 11.1 - Practical versus Statistical Significance In...Ch. 11.1 - Prob. 27AYUCh. 11.1 - Prob. 28AYUCh. 11.1 - Deficit Reduction In the Sullivan Statistics...Ch. 11.1 - Prob. 30AYUCh. 11.1 - Prob. 31AYUCh. 11.1 - Prob. 32AYUCh. 11.1 - Prob. 33AYUCh. 11.1 - Prob. 34AYUCh. 11.1 - Prob. 35AYUCh. 11.1 - Putting It Together: Salk Vaccine On April 12,...Ch. 11.1 - Why do we use a pooled estimate of the population...Ch. 11.1 - Explain the difference between an independent and...Ch. 11.2 - A researcher wants to show the mean from...Ch. 11.2 - A researcher wants to show the mean from...Ch. 11.2 - In Problems 3 and 4, assume that the differences...Ch. 11.2 - a. Determine di = Xi Yi for each pair of data. b....Ch. 11.2 - Naughty or Nice? An experiment was conducted in...Ch. 11.2 - Caffeine-Enhanced Workout? Since its removal from...Ch. 11.2 - NW Muzzle Velocity The following data represent...Ch. 11.2 - Reaction Time In an experiment conducted online at...Ch. 11.2 - Prob. 9AYUCh. 11.2 - Secchi Disk A Secchi disk is an 8-inch-diameter...Ch. 11.2 - Getting Taller? To test the belief that sons are...Ch. 11.2 - Prob. 12AYUCh. 11.2 - Prob. 13AYUCh. 11.2 - Car Rentals The following data represent the daily...Ch. 11.2 - DUI Simulator To illustrate the effects of driving...Ch. 11.2 - Prob. 16AYUCh. 11.2 - Prob. 17AYUCh. 11.2 - Putting It Together: Glide Testing You are a...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - In Problems 16, assume that the populations are...Ch. 11.3 - Elapsed Time to Earn a Bachelors Degree A...Ch. 11.3 - Sugary Beverages It has been reported that...Ch. 11.3 - Prob. 9AYUCh. 11.3 - Walking in the Airport, Part II Do business...Ch. 11.3 - Priming Two Dutch researchers conducted a study in...Ch. 11.3 - Prob. 12AYUCh. 11.3 - NW Ramp Metering Ramp metering is a traffic...Ch. 11.3 - Prob. 14AYUCh. 11.3 - Bacteria in Hospital Carpeting Researchers wanted...Ch. 11.3 - Visual versus Textual Learners Researchers wanted...Ch. 11.3 - Prob. 17AYUCh. 11.3 - Prob. 18AYUCh. 11.3 - Prob. 19AYUCh. 11.3 - Prob. 20AYUCh. 11.3 - Prob. 21AYUCh. 11.3 - Prob. 22AYUCh. 11.3 - Putting It Together: Online Homework Professor...Ch. 11.3 - Prob. 24AYUCh. 11.3 - College Skills The Collegiate Learning Assessment...Ch. 11.3 - MythBusters In a MythBusters episode, the question...Ch. 11.3 - Prob. 27AYUCh. 11.4 - Prob. 1AYUCh. 11.4 - Prob. 2AYUCh. 11.4 - Prob. 3AYUCh. 11.4 - Prob. 4AYUCh. 11.4 - Prob. 5AYUCh. 11.4 - The following data represent the measure of a...Ch. 11.4 - Prob. 7AYUCh. 11.4 - TIMS Report and Kumon TIMS is an acronym for the...Ch. 11.4 - Age Difference in Married Couples What is the...Ch. 11.4 - Prob. 10AYUCh. 11.4 - Prob. 11AYUCh. 11.4 - Prob. 12AYUCh. 11.4 - Prob. 13AYUCh. 11.4 - Prob. 14AYUCh. 11.4 - Prob. 15AYUCh. 11.4 - Extramarital Affairs Is there a difference in the...Ch. 11.4 - Multitasking in School In todays wired society,...Ch. 11.4 - Prob. 18AYUCh. 11.4 - Hospital Readmission As of October 1, 2012,...Ch. 11.4 - Behavior and Gender at Work Researchers wanted to...Ch. 11.4 - Prob. 21AYUCh. 11.4 - Prob. 22AYUCh. 11.4 - Prob. 23AYUCh. 11.4 - Prob. 24AYUCh. 11.4 - Prob. 25AYUCh. 11.4 - Prob. 26AYUCh. 11.4 - Prob. 27AYUCh. 11.4 - In Problems 2231, for each study, explain which...Ch. 11.4 - Prob. 29AYUCh. 11.4 - Prob. 30AYUCh. 11.4 - In Problems 2231, for each study, explain which...Ch. 11 - In Problems 1 and 2, determine if the sampling is...Ch. 11 - In Problems 1 and 2, determine if the sampling is...Ch. 11 - In Problem 3, assume that the paired differences...Ch. 11 - In Problems 4 and 5, assume that the populations...Ch. 11 - In Problems 4 and 5, assume that the populations...Ch. 11 - A random sample of n1 = 555 individuals results in...Ch. 11 - Height versus Arm Span A statistics student heard...Ch. 11 - McDonalds versus Wendys A student wanted to...Ch. 11 - Treatment for Osteoporosis Osteoporosis is a...Ch. 11 - Determining Sample Size A nutritionist wants to...Ch. 11 - Height versus Arm Span Construct and interpret a...Ch. 11 - Prob. 12RECh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - Prob. 4CTCh. 11 - Prob. 5CTCh. 11 - Prob. 6CTCh. 11 - Prob. 7CTCh. 11 - In a study conducted to determine the role that...Ch. 11 - Researchers had a car traveling 10 miles per hour...Ch. 11 - Zoloft is a drug used to treat...Ch. 11 - Does hypnotism result in a different success rate...Ch. 11 - A researcher wants to estimate the difference...Ch. 11 - It is commonplace to gain weight after quitting...Ch. 11 - Dr. Penelope Nicholls is interested in exploring a...Ch. 11 - Dr. Penelope Nicholls is interested in exploring a...
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