Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Chapter 15, Problem 47CR
To determine
State the hypotheses and test it at 0.05 level of significance.
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According to the U.S. Transportation Security Administration (TSA), 2% of the 771,556,886 travelers who utilized 440 federalized airports in 2017 waited more than 20 minutes in the TSA security line. The File TSAWaitTimes contains waiting Times in TSA security lines at a major U.S. airport for a recent random sample 10,531 travelers. Use these Data to test the hypothesis that the proportion of travelers waiting more than 20 minutes in TSA security lines at this airport is the same as the national proportion at α = .05
Data given:
Time In Line
Mean
11.99496
Median
11.97536
Standard Deviation
3.992043
Confidence Level(95.0%)
0.076253
Provide a 95% confidence interval with interpretation
For a one-tailed (upper tail) hypothesis test with a sample size of 26 and
a .01 level of significance, the critical value of the test statistic t is
Five samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.10 level of significance whether the two methods of analysis give, on the average, the same result.
Chapter 15 Solutions
Introduction To Statistics And Data Analysis
Ch. 15.1 - Give as much information as you can about the...Ch. 15.1 - Prob. 2ECh. 15.1 - Employees of a state university system can choose...Ch. 15.1 - The accompanying summary statistics for a measure...Ch. 15.1 - The authors of the paper Age and Violent Content...Ch. 15.1 - The paper referenced in the previous exercise also...Ch. 15.1 - Do people feel hungrier after sampling a healthy...Ch. 15.1 - Prob. 8ECh. 15.1 - The Paper Womens and Mens Eating Behavior...Ch. 15.1 - Can use of an online plagiarism-detection system...
Ch. 15.1 - Prob. 11ECh. 15.1 - In the introduction to this chapter, we considered...Ch. 15.1 - In an experiment to investigate the performance of...Ch. 15.2 - Leaf surface area is an important variable in...Ch. 15.2 - Prob. 15ECh. 15.2 - Prob. 16ECh. 15.2 - Prob. 17ECh. 15.2 - The paper referenced in Exercise 15.5 described an...Ch. 15.2 - Prob. 19ECh. 15.2 - The accompanying data resulted from a flammability...Ch. 15.2 - Do lizards play a role in spreading plant seeds?...Ch. 15.2 - Samples of six different brands of diet or...Ch. 15.3 - A particular county employs three assessors who...Ch. 15.3 - The accompanying display is a partially completed...Ch. 15.3 - With the use of biofuels increasing, investigators...Ch. 15.3 - Prob. 26ECh. 15.3 - Prob. 27ECh. 15.3 - Prob. 28ECh. 15.4 - Prob. 29ECh. 15.4 - The paper Feedback Enhances the Positive Effects...Ch. 15.4 - The following graphs appear in the paper Which...Ch. 15.4 - The behavior of undergraduate students when...Ch. 15.4 - Prob. 33ECh. 15.4 - The following partially completed ANOVA table...Ch. 15.4 - Prob. 35ECh. 15.4 - The accompanying ANOVA table is similar to one...Ch. 15.4 - Identification of sex in human skeletons is an...Ch. 15 - Suppose that a random sample or size n = 5 was...Ch. 15 - Parents are frequently concerned when their child...Ch. 15 - Prob. 40CRCh. 15 - Consider the accompanying data on plant growth...Ch. 15 - Prob. 42CRCh. 15 - Prob. 43CRCh. 15 - Prob. 44CRCh. 15 - Prob. 45CRCh. 15 - Prob. 46CRCh. 15 - Prob. 47CRCh. 15 - Prob. 48CRCh. 15 - Prob. 49CR
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- What is meant by the sample space of an experiment?arrow_forwardThe research department at the home office of New Hampshire Insurance conducts on-going research on the causes of automobile accidents, the characteristics of the drivers, and so on. A random sample of 400 policies written on single persons revealed 120 had at least one accident in the previous three-year period. Similarly, a sample of 600 policies written on married persons revealed that 150 had been in at least one accident. At the .05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three year period? Determine the p-value.arrow_forwardThree different brands of automobile batteries, each one having a 42-month warranty, were included in a study of battery lifetime. A random sample of batteries of each brand was selected and lifetime (in months) was determined, resulting in the following data. Brand 1 45 39 52 47 45 41 43 Brand 2 39 44 50 53 48 47 40 Brand 3 50 47 43 48 56 44 48 State and test the appropriate hypotheses using a significance level of 0.05. State the appropriate null and alternative hypotheses. (Let ?1, ?2, and ?3 be the true mean lifetimes for the three brands.) H0 : all three of the ?i's are differentHa : ?1 = ?2 = ?3H0 : ?1 = ?2 = ?3Ha : all three of the ?i's are different H0 : ?1 = ?2 = ?3Ha : at least two of the three ?i's are differentH0 : ?1 ≠ ?2 ≠ ?3Ha : at least two of the three ?i's are the sameH0 : at least two of the three ?i's are differentHa : ?1 = ?2 = ?3 Summarize your calculations in an ANOVA table. (Round your answers to two decimal places.) Source ofVariation df…arrow_forward
- In a nationally representative sample of 1,668 adult Americans, 510 indicated that they had checked their credit score within the last 12 months. Suppose of the 510 people that had checked their credit report within the last 12 months, 39% had done so as part of their regular financial planning. Does this provide convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning? Carry out a test using a significance level of 0.01. Find the test statistic and P-value. (Use a table or SALT. Round your test statistic to two decimal places and your P-value to four decimal places.) z=P-value= State the conclusion in the problem context. Fail to reject H0. We have convincing evidence that more than one-third of adult Americans who have checked their credit scores within the past 12 months did so as part of regular financial planning.Fail to reject H0. We do not have convincing evidence…arrow_forwardFive samples of a ferrous-type substance were used to determine if there is a difference between a laboratory chemical analysis and an X-ray fluorescence analysis of the iron content. Each sample was split into two subsamples and the two types of analysis were applied, with the accompanying results. Assuming that the populations are normal, test at the 0.02 level of significance whether the two methods of analysis give, on the average, the same resultarrow_forwardThe owner of a machine shop must decide which of two snack-vending machines to install in his shop. If each machine tested 250 times, the first machine fails to work (neither delivers the snack nor returns the money) 13 times, and the second machine fails to work 7 times, test at the 0.05 level of significance whether the difference between the corresponding sample proportions is significant.arrow_forward
- Consider a sample of 47 football games, where 32 of them were won by the home team. Use a 0.10 significance level to test the claim that the probability that the home team wins is greater than one-half. Identify the test statistic and p value and draw a conclusion arrow_forwardIn a study of 822 randomly selected medical malpractice lawsuits, it was found that 499 of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed. Part 1 Which of the following is the hypothesis test to be conducted?arrow_forwardAn information technology help desk has a service level agreement (SLA) that says that clients should be contacted about their service requests within 1 hour (60 minutes) of the help desk receiving the request. Jackie, the help desk manager, wants to check if the help desk is actually taking longer than 60 minutes to respond. For a random sample of 20 service requests, Jackie obtained the time between the help desk receiving the request and the client being contacted. The marketer conducts a one-mean hypothesis at the 5% significance level, to test whether the response time is greater than 60 minutes. (a) Which answer choice shows the correct null and alternative hypotheses for this test? Select the correct answer below: H0:μ=20; Ha:μ<20, which is a left-tailed test. H0:μ=60; Ha:μ<60, which is a left-tailed test. H0:μ=20; Ha:μ>20, which is a right-tailed test. H0:μ=60; Ha:μ>60, which is a right-tailed test.arrow_forward
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