Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305445963
Author: PECK
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 11.1, Problem 13E
a.
To determine
Write the hypotheses.
b.
To determine
Identify the value of the test statistic for the hypothesis test.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
The authors of the paper "Playing by the Rules: Parental Mediation of Video Game Play"† used data from a sample of parents to
investigate the ways in which parents monitor their children's use of video games. The sample of parents consisted of 427 people who
responded to a survey conducted on an Amazon-operated marketplace where people can complete surveys in exchange for compensation.
(a) Do you think that the sample of parents was selected in a way that makes it reasonable to think it is representative of the population
of all parents?
O No, the parents in the study were ones who voluntarily responded to an online survey and therefore are not likely to be
representative of the population of all parents.
Yes, parents who respond to online surveys tend to be representative of the population.
O No, they should have allowed parents to call in to complete the survey as well as fill it out online.
O No, the sample size was not large enough.
O Yes, the parents in the study were randomly…
In a current study, a random sample of 20 teachers from Georgia and an independent random sample of 20 teachers from Indiana have been asked to report
their annual income. The data obtained are as follows.
Georgia
33567, 41744, 51186, 30464, 51606, 42617, 48830, 41455, 49371, 40828, 44007, 42605, 34923, 30519, 42581, 52952, 45651,
45084, 35455, 27800
Send data to calculator
Indiana
Annual income in dollars
29227, 35464, 45458, 32113, 29125, 38494, 23709, 32874, 34046, 21221, 39527, 56140, 38977, 47806, 44866, 36325, 34654,
38647, 37073, 36344
Send data to Excel
The population standard deviations for the annual incomes of teachers in Georgia and in Indiana are estimated as $6500 and $6350, respectively. It is also
known that both populations are approximately normally distributed. Construct a 90% confidence interval for the difference between the mean annual
income of teachers from Georgia (,) and the mean annual income of teachers from Indiana (₂). Then find the lower limit and upper…
There is some evidence..... There appears to be some evidence suggesting that earlier retirement may lead to memory decline (Rohwedder & Willis, 2010). The researchers gave a memory test to men and women aged 60 to 64 years in several countries that have different retirement ages. For each country, the researchers recorded the average memory score and the percentage of individuals in the 60 to 64 age range who were retired. Note that a higher percentage retired indicates a younger retirement age for that country. The provided data are similar to the results from the study.
The following data are passed:
% Retired (X)
Memory score (Y)
39
9.3
48
10.9
59
10.7
70
9.1
74
6.4
78
9.1
81
7.2
87
7.9
88
8.5
91
9
Chapter 11 Solutions
Introduction to Statistics and Data Analysis
Ch. 11.1 - Consider two populations for which 1 = 30, 1 = 2,...Ch. 11.1 - An individual can take either a scenic route to...Ch. 11.1 - Prob. 3ECh. 11.1 - Prob. 4ECh. 11.1 - The article Plugged In, but Tuned Out (USA TODAY,...Ch. 11.1 - Prob. 6ECh. 11.1 - Prob. 7ECh. 11.1 - The paper If Its Hard to Read, Its Hard to Do...Ch. 11.1 - Is injecting medical cement effective in reducing...Ch. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - The paper Mood Food: Chocolate and Depressive...Ch. 11.1 - Prob. 13ECh. 11.1 - Example 11.1 looked at a study comparing students...Ch. 11.1 - Prob. 15ECh. 11.1 - Prob. 16ECh. 11.1 - A newspaper story headline reads Gender Plays Part...Ch. 11.1 - Prob. 18ECh. 11.1 - Fumonisins are environmental toxins produced by a...Ch. 11.1 - A researcher at the Medical College of Virginia...Ch. 11.1 - Do certain behaviors result in a severe drain on...Ch. 11.2 - Suppose that you were interested in investigating...Ch. 11.2 - Head movement evaluations are important because...Ch. 11.2 - To determine if chocolate milk was as effective as...Ch. 11.2 - The humorous paper Will Humans Swim Faster or...Ch. 11.2 - The study described in the paper Marketing Actions...Ch. 11.2 - Prob. 27ECh. 11.2 - The paper Less Air Pollution Leads to Rapid...Ch. 11.2 - The paper The Truth About Lying in Online Dating...Ch. 11.2 - Prob. 30ECh. 11.2 - Prob. 31ECh. 11.2 - The paper Quantitative Assessment of Glenohumeral...Ch. 11.2 - Two proposed computer mouse designs were compared...Ch. 11.2 - Prob. 34ECh. 11.2 - Prob. 35ECh. 11.2 - The authors of the paper Ultrasound Techniques...Ch. 11.3 - Some people seem to believe that you can fix...Ch. 11.3 - Prob. 38ECh. 11.3 - After the 2010 earthquake in Haiti, many...Ch. 11.3 - Prob. 40ECh. 11.3 - The report Audience Insights: Communicating to...Ch. 11.3 - Prob. 42ECh. 11.3 - Prob. 43ECh. 11.3 - Prob. 44ECh. 11.3 - The article Fish Oil Staves Off Schizophrenia (USA...Ch. 11.3 - The report Young People Living on the Edge...Ch. 11.3 - Prob. 47ECh. 11.3 - Prob. 48ECh. 11.3 - Prob. 49ECh. 11.3 - Prob. 50ECh. 11.3 - Prob. 51ECh. 11.3 - The article Spray Flu Vaccine May Work Better Than...Ch. 11.3 - Prob. 53ECh. 11.3 - The following quote is from the article Canadians...Ch. 11.3 - Prob. 55ECh. 11.3 - Women diagnosed with breast cancer whose tumors...Ch. 11.3 - Prob. 57ECh. 11.4 - The paper The Psychological Consequences of Money...Ch. 11.4 - An experiment to determine if an online...Ch. 11.4 - The paper Ready or Not? Criteria for Marriage...Ch. 11 - Prob. 61CRCh. 11 - Prob. 62CRCh. 11 - A deficiency of the trace element selenium in the...Ch. 11 - Prob. 64CRCh. 11 - Prob. 65CRCh. 11 - In a study of a proposed treatment for diabetes...Ch. 11 - When a surgeon repairs injuries, sutures (stitched...Ch. 11 - Prob. 68CRCh. 11 - In a study of memory recall, eight students from a...Ch. 11 - As part of a study to determine the effects of...Ch. 11 - Prob. 71CRCh. 11 - Prob. 72CRCh. 11 - The article Truth and DARE: Tracking Drug...Ch. 11 - The article Softball Sliding Injuries (American...Ch. 11 - Prob. 75CRCh. 11 - Wayne Gretzky was one of ice hockeys most prolific...Ch. 11 - Heres one to sink your teeth into: The authors of...Ch. 11 - Prob. 78CRCh. 11 - Dentists make many people nervous. To see whether...Ch. 11 - Prob. 80CRCh. 11 - Prob. 81CRCh. 11 - Both surface soil and subsoil specimens were taken...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Similar questions
- Suppose that PTPTN would like to investigate if the repayment score and income level of an individual are independent of one another. PTPTN selected a random sample of 164 employed adults and asked them to report their repayment score and their income range. The repayment score is measured based on the overdue of student loan repayment in months and the following contingency table presents these results: a. Set up the competing hypotheses to determine if the repayment score and income level are dependent. b. What is the degree of freedom for the test?c. Calculate the value of the test statistic (?2). d. Compute the p-value. e. Does the evidence suggest the repayment score and income level are dependent at the 1% significance level?arrow_forwardVeterans' Marital ProblemsResearchers found that in a sample of 2101 Vietnam veterans, 777 had been divorced at least once (Gimbel and Booth, 1994). U.S. Census figures indicate that among all American men born between 1945 and 1954, by age 50 about 34.5% had been divorced at least once. Conduct a test of significance to assess whether or not the sample data from the study provide strong evidence that the divorce rate among all Vietnam veterans is greater than 34.5%. a. Report the test statistic. Round your answer to TWO decimal places. You may use the observed proportion rounded to 3 decimal places if working by hand. b.What is your p-value? Answer to 4 decimal placesarrow_forwardThe Commissioner of Health in New York State wanted to study malpractice litigation in New York. A sample of 31 thousand medical records was drawn from a population of 2.7 million patients who were discharged during the year 2009. Using the information obtained from the sample to predict population characteristics with respect to malpractice litigation is an example of ________.arrow_forward
- Individuals filing federal income tax returns prior to March 31 received an average refund of $1056. Consider the population of last minute files who mail their tax return during the last five days of the income tax period. A researcher suggest that a reason individuals wait until the last five days is that on average these individuals receive lower refunds than do early filers. Develop appropriate hypotheses such that rejection of H0 will support the researcher’s contention. For a sample of 400 individuals who filed a tax return between April 10 and 15, the sample mean refund was $910. Based on prior experience, a population standard deviation of σ =$1600 may be assumed. What is the p-value? At α=.05, what is your conclusion? Repeat the preceding hypothesis test using the critical value approach.arrow_forwardAlthough there is a popular belief that herbal remedies such as Ginkgo biloba and Ginseng may improve learning and memory in healthy adults, these effects are usually not supported by well-controlled research (Persson, Bringlov, Nilsson, and Nyberg, 2004). In a typical study, a researcher obtains a sample of n = 16 participants and has each person take the herbal supplements every day for 90 days. At the end of the 90 days, each person takes a standardized memory test. For the general population, scores from the test form a normal distribution with a mean of u = 50 and a standard deviation of o = 12. The sample of research participants had an average of M = 54 . a. Assuming a two-tailed test, state the null hypothesis in a sentence that includes the two variables being examined. b. Using the standard 4-step procedure, conduct a two-tailed hypothesis test with a = .05 to evaluate the effect of the supplements.arrow_forwardIn low-speed crash tests of five cars, the repair costs were computed for a factory authorizedrepair and an independent repair workshop. The results are listed in Table 2. Is there sufficientevidence to support the claim that the independent workshop has lower repair costs? Use a 0.01significance level.Table 2 car 1 2 3 4 5 authorized repair centre X1 RM797 RM571 RM904 RM1147 RM418 independent workshop X2 RM523 RM488 RM875 RM911 RM297 D=X1 - X2 274 83 29 236 121 D2 = (X1 -X2)2 75076 6889 841 55696 14641arrow_forward
- Although there is a popular belief that herbal remedies such as Ginkgo biloba and Ginseng may improve learning and memory in healthy adults, these effects are usually not supported by well- controlled research (Persson, Bringlov, Nilsson, and Nyberg, 2004). In a typical study, a researcher obtains a sample of n = 16 participants and has each person take the herbal supplements every day for 90 days. At the end of the 90 days, each person takes a standardized memory test. For the general population, scores from the test form a normal distribution with a mean of μ = 50 and a standard deviation of σ = 12. The sample of research participants had an average of M = 54. A) Assuming a two-tailed test, state the null hypothesis in a sentence that includes the two variables being examined. B) Using the standard 4-step procedure, conduct a two-tailed hypothesis test with α = .05 to evaluate the effect of the supplements.arrow_forwardAs the director of the local Boys Club, you have claimed for years that membership in your club reduces juvenile delinquency. Now a cynical member of your funding agency has demanded proof of your claim. Random samples of members and non-members are gathered and interviewed with respect to their involvement in delinquent activities. Each respondent is asked to enumerate the number of delinquent acts they engaged in over the last year. The average numbers of admitted acts of delinquency are reported below. What can you tell the funding agency? MEMBERS NON-MEMBERSmean=10.3 mean=12.3s=2.7 s=4.2N=50 N=55arrow_forward. Although there is a popular belief that herbal remedies such as Ginkgo biloba and Ginseng may improve learning and memory in healthy adults, these effects are usually not supported by wellcontrolled research (Persson, Bringlov, Nilsson, and Nyberg, 2004). In a typical study, a researcher obtains a sample of n = 16 participants and has each person take the herbal supplements every day for 90 days. At the end of the 90 days, each person takes a standardized memory test. For the general population, scores from the test form a normal distribution with a mean of μ = 50 and a standard deviation of σ = 12. The sample of research participants had an average of M = 54. Assuming a two-tailed test, state the null hypothesis in a sentence that includes the two variables being examined. Using the standard 4-step procedure, conduct a two-tailed hypothesis test with α = .05 to evaluate the effect of the supplements.arrow_forward
- In the first study with MTurkers, the researchers found that their sample, on average, saw themselves as less social than other people on every item they measured. However, the researchers also noted other research suggesting that MTurkers may be less outgoing than people in the general population. For this reason, they used other samples as well. They summarized the different types of samples they used in their study as follows: "In 11 studies, we examine whether people believe that others lead richer social lives than they do themselves. We begin by directly asking Mechanical Turk respondents (Study 1), shoppers at a local mall (Study 2A), college students (Study 2B), and respondents from a large, income-stratified panel (Study 2C) whether they believe their social lives are less rich and active than those of others" (p. 860). For Study 2C, they further clarified: "Data were collected using an online survey agency . that commissions large-scale stratified samples by recruiting…arrow_forwardone- Oishi and Schimmack (2010) report that people who move from home to home frequently as children tend to have lower than average levels of well-being as adults. To further examine this relationship, a psychol- ogist obtains a sample of n = 12 young adults who each experienced 5 or more different homes before they were 16 years old. These participants were givenarrow_forwardSuppose that PTPTN would like to investigate if the repayment score and income level of an individual are independent of one another. PTPTN selected a random sample of 164 employed adults and asked them to report their repayment score and their income range. The repayment score is measured based on the overdue of student loan repayment in months and the following contingency table presents these results: a. Compute the p-value.b. Does the evidence suggest the repayment score and income level are dependent at the 1% significance level?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Correlation Vs Regression: Difference Between them with definition & Comparison Chart; Author: Key Differences;https://www.youtube.com/watch?v=Ou2QGSJVd0U;License: Standard YouTube License, CC-BY
Correlation and Regression: Concepts with Illustrative examples; Author: LEARN & APPLY : Lean and Six Sigma;https://www.youtube.com/watch?v=xTpHD5WLuoA;License: Standard YouTube License, CC-BY