Elementary Statistics: Picturing the World (7th Edition)
7th Edition
ISBN: 9780134683416
Author: Ron Larson, Betsy Farber
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 11.4, Problem 5E
a.
To determine
To identify: The claim and state
b.
To determine
To find: The critical value.
c.
To determine
To find: The test statistic
d.
To determine
To decide: Whether to reject or fail to reject the null hypothesis.
e.
To determine
To interpret: The decision in the context of the original claim.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Polling How accurate are pollsters in predicting theoutcomes of congressional elections? The table shows theactual number of Democratic party seats in the House ofRepresentatives and the number predicted by the Galluporganization for nonpresidential election years betweenWorld War II and 1998.a) Is there a significant difference between the numberof seats predicted for the Democrats and the numberthey actually held? Test an appropriate hypothesisand state your conclusions.b) Is there a strong association between the pollsters’predictions and the outcomes of the elections?Test an appropriate hypothesis and state yourconclusions.
Democratic Party CongressmenYear Predicted Actual1946 190 1881950 235 2341954 232 2321958 272 2831962 259 2581966 247 2481970 260 2551974 292 2911978 277 2771982 275 2691986 264 2581990 260 2671994 201 2041998 211 211
Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population.
Bank Lines The Jefferson Valley Bank once had a separate customer waiting line at each teller window, but it now has a single waiting line that feeds the teller windows as vacancies occur. The standard deviation of customer waiting times with the old multiple-line configuration was 1.8 min. Listed below is a simple random sample of waiting times (minutes) with the single waiting line. Use a 0.05 significance level to test the claim that with a single waiting line, the waiting times have a standard deviation less than 1.8 min. What improvement occurred when banks changed from multiple waiting lines to a single…
Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population.
Fast Food Drive-Through Service Times Listed below are drive-through service times (seconds) recorded at McDonald’s during dinner times (from Data Set 25 “Fast Food” in Appendix B). Assuming that dinner service times at Wendy’s have standard deviation σ = 55.93 sec, use a 0.01 significance level to test the claim that service times at McDonald’s have the same variation as service times at Wendy’s. Should McDonald’s take any action?
Chapter 11 Solutions
Elementary Statistics: Picturing the World (7th Edition)
Ch. 11.1 - A real estate agency claims that the median number...Ch. 11.1 - An organization claims that the median age of...Ch. 11.1 - A medical researcher claims that a new vaccine...Ch. 11.1 - Prob. 1ECh. 11.1 - When the sign test is used, what population...Ch. 11.1 - Describe the test statistic for the sign test when...Ch. 11.1 - In your own words, explain why the hypothesis test...Ch. 11.1 - Explain how to use the sign test to test a...Ch. 11.1 - List the two conditions that must be met in order...Ch. 11.1 - Performing a Sign Test In Exercises 722, (a)...
Ch. 11.1 - Temperature A meteorologist claims that the median...Ch. 11.1 - Prob. 9ECh. 11.1 - Temperature During a weather report, a...Ch. 11.1 - Credit Card Debt A financial services institution...Ch. 11.1 - Financial Debt A financial services accountant...Ch. 11.1 - Prob. 13ECh. 11.1 - Social Networking A research group claims that the...Ch. 11.1 - Unit Size A renters organization claims that the...Ch. 11.1 - Prob. 16ECh. 11.1 - Hourly Wages A labor organization claims that the...Ch. 11.1 - Prob. 18ECh. 11.1 - Prob. 19ECh. 11.1 - Prob. 20ECh. 11.1 - Prob. 21ECh. 11.1 - Prob. 22ECh. 11.1 - Prob. 23ECh. 11.1 - Contacting Parents A research organization...Ch. 11.1 - In Exercises 2528, use a right-tailed test and (a)...Ch. 11.1 - Prob. 26ECh. 11.1 - Prob. 27ECh. 11.1 - Ages of Grooms A marriage counselor claims that...Ch. 11.2 - A quality control inspector wants to test the...Ch. 11.2 - Prob. 2TYCh. 11.2 - Prob. 1ECh. 11.2 - Prob. 2ECh. 11.2 - Prob. 3ECh. 11.2 - Prob. 4ECh. 11.2 - Prob. 5ECh. 11.2 - Prob. 6ECh. 11.2 - Performing a Wilcoxon Test In Exercises 38, (a)...Ch. 11.2 - Performing a Wilcoxon Test In Exercises 38, (a)...Ch. 11.2 - Wilcoxon Signed-Rank Test for n 30 When you are...Ch. 11.2 - Prob. 10ECh. 11.2 - Construct a side-by-side box-and-whisker plot for...Ch. 11.2 - Prob. 2CSCh. 11.2 - In Exercises 25, use the sign test to test the...Ch. 11.2 - In Exercises 25, use the sign test to test the...Ch. 11.2 - In Exercises 25, use the sign test to test the...Ch. 11.2 - In Exercises 6 and 7, use the Wilcoxon rank sum...Ch. 11.2 - In Exercises 6 and 7, use the Wilcoxon rank sum...Ch. 11.3 - Prob. 1TYCh. 11.3 - Prob. 1ECh. 11.3 - Explain why the Kruskal-Wallis test is always a...Ch. 11.3 - Prob. 3ECh. 11.3 - Performing a Kruskal-Wallis Test In Exercises 36,...Ch. 11.3 - Prob. 5ECh. 11.3 - Prob. 6ECh. 11.3 - Comparing Two Tests In Exercises 7 and 8, (a)...Ch. 11.3 - Comparing Two Tests In Exercises 7 and 8, (a)...Ch. 11.4 - Prob. 1TYCh. 11.4 - Prob. 1ECh. 11.4 - Prob. 2ECh. 11.4 - Prob. 3ECh. 11.4 - Prob. 4ECh. 11.4 - Prob. 5ECh. 11.4 - Prob. 6ECh. 11.4 - Prob. 7ECh. 11.4 - Prob. 8ECh. 11.4 - Prob. 9ECh. 11.4 - Prob. 10ECh. 11.4 - Prob. 11ECh. 11.4 - Prob. 12ECh. 11.4 - Prob. 13ECh. 11.4 - Prob. 14ECh. 11.5 - A machine produces engine parts. An inspector...Ch. 11.5 - Prob. 2TYCh. 11.5 - Prob. 3TYCh. 11.5 - In your own words, explain why the hypothesis test...Ch. 11.5 - Describe the test statistic for the runs test when...Ch. 11.5 - Finding the Number of Runs In Exercises 36,...Ch. 11.5 - Prob. 4ECh. 11.5 - Finding the Number of Runs In Exercises 36,...Ch. 11.5 - Prob. 6ECh. 11.5 - Prob. 7ECh. 11.5 - Prob. 8ECh. 11.5 - Prob. 9ECh. 11.5 - Prob. 10ECh. 11.5 - Finding Critical Values In Exercises 1114, use the...Ch. 11.5 - Prob. 12ECh. 11.5 - Prob. 13ECh. 11.5 - Prob. 14ECh. 11.5 - Prob. 15ECh. 11.5 - Prob. 16ECh. 11.5 - Prob. 17ECh. 11.5 - Prob. 18ECh. 11.5 - Prob. 19ECh. 11.5 - Prob. 20ECh. 11.5 - Prob. 21ECh. 11.5 - Prob. 22ECh. 11.5 - Runs Test with Quantitative Data In Exercises...Ch. 11 - Using an Inappropriate Test Discuss the...Ch. 11 - Prob. 11.1.1RECh. 11 - Prob. 11.1.2RECh. 11 - Prob. 11.1.3RECh. 11 - Prob. 11.1.4RECh. 11 - Prob. 11.1.5RECh. 11 - Prob. 11.1.6RECh. 11 - In Exercises 7 and 8, use a Wilcoxon test to test...Ch. 11 - In Exercises 7 and 8, use a Wilcoxon test to test...Ch. 11 - Prob. 11.3.9RECh. 11 - Prob. 11.3.10RECh. 11 - Prob. 11.4.11RECh. 11 - Prob. 11.4.12RECh. 11 - Prob. 11.5.13RECh. 11 - Prob. 11.5.14RECh. 11 - Prob. 1CQCh. 11 - Prob. 2CQCh. 11 - Prob. 3CQCh. 11 - Prob. 4CQCh. 11 - Prob. 5CQCh. 11 - Prob. 1CTCh. 11 - Prob. 2CTCh. 11 - Prob. 3CTCh. 11 - An employment agency claims that there is a...Ch. 11 - Prob. 5CTCh. 11 - How Would You Do It? (a) What sampling technique...Ch. 11 - In a recent year, according to the Bureau of Labor...Ch. 11 - Prob. 3RSRDCh. 11 - Construct a box-and-whisker plot for each region....Ch. 11 - In Exercises 15, refer to the annual incomes of...Ch. 11 - Use technology to perform a Wilcoxon rank sum test...Ch. 11 - Prob. 4TCh. 11 - Prob. 5TCh. 11 - Prob. 6T
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
- Testing Hypotheses. In Exercises 13–24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim. Lead in Medicine Listed below are the lead concentrations (in μ g/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States (based on data from “Lead, Mercury, and Arsenic in US and Indian Manufactured Ayurvedic Medicines Sold via the Internet,” by Saper et al., Journal of the American Medical Association, Vol. 300, No. 8). Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is…arrow_forwardTesting Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population. Aircraft Altimeters The Skytek Avionics company uses a new production method to manufacture aircraft altimeters. A simple random sample of new altimeters resulted in the errors listed below. Use a 0.05 level of significance to test the claim that the new production method has errors with a standard deviation greater than 32.2 ft, which was the standard deviation for the old production method. If it appears that the standard deviation is greater, does the new production method appear to be better or worse than the old method? Should the company take any action?arrow_forwardTesting the hypothesis using Sign test, Wilcoxan Test Statistic and t-testarrow_forward
- Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population. Pulse Rates of Women Repeat the preceding exercise using the pulse rates of women listed in Data Set 1 “Body Data” in Appendix B. For the sample of pulse rates of women, n = 147 and s = 12.5. See the accompanying JMP display that results from using the original list of pulse rates instead of the summary statistics. (Hint: The bottom three rows of the display provide P -values for a two-tailed test, a left-tailed test, and a right-tailed test, respectively.) What do the results indicate about the effectiveness of using the range rule of thumb with the “normal range” from 60 to 100 beats per minute for estimating…arrow_forwardTesting Claims About Proportions. In Exercises 7–22, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Does Aspirin Prevent Heart Disease? In a trial designed to test the effectiveness of aspirin in preventing heart disease, 11,037 male physicians were treated with aspirin and 11,034 male physicians were given placebos. Among the subjects in the aspirin treatment group, 139 experienced myocardial infarctions (heart attacks). Among the subjects given placebos, 239 experienced myocardial infarctions (based on data from “Final Report on the Aspirin Component of the Ongoing Physicians’ Health Study,” New England Journal of Medicine , Vol. 321: 129–135). Use a 0.05 significance level to test the claim that aspirin has no effect on myocardial infarctions. a. Test the claim using a hypothesis test. b.…arrow_forwardConduct a t-test at the .01 level. Find the correct decision about the null hypothesis. (A) Because the t-statistic exceeds the critical values, we fail to reject the null hypothesis. (B) Because the t-statistic exceeds the critical values, we reject the null hypothesis. (C) Because the t-statistic does not exceed the critical values, we fail to reject the null hypothesis. (D) Because the t-statistic does not exceed the critical values, we reject the null hypothesis.arrow_forward
- Testing Claims About Variation. In Exercises 5–16, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Assume that a simple random sample is selected from a normally distributed population. Mint Specs Listed below are weights (grams) from a simple random sample of “wheat” pennies (from Data Set 29 “Coin Weights” in Appendix B). U.S. Mint specifications now require a standard deviation of 0.0230 g for weights of pennies. Use a 0.01 significance level to test the claim that wheat pennies are manufactured so that their weights have a standard deviation equal to 0.0230 g. Does the Mint specification appear to be met?arrow_forwardLobbying Congress. In the special report, “Bitter Pill: Why Medical Bills Are Killing Us” (TIME, Vol. 181, No. 8, 2013), S. Brill presented an in-depth investigation of hospital billing practices that reveals why U.S. health care spending is out of control. One of the many statistics provided in the report is that, during the period from 1998 through 2012, the pharmaceutical and health-care-products industries and organizations representing doctors, hospitals, nursing homes, health services, and HMOs spent $5.36 billion lobbying Congress. a. Under what conditions would the $5.36 billion lobbyingexpenditure figure be a descriptive statistic? Explain your answer. b. Under what conditions would the $5.36 billion lobbyingexpenditure figure be an inferential statistic? Explain your answer.arrow_forwardTeaching Duties. Contingent faculty members in higher education are non-tenure track faculty, adjuncts, postdocs, lecturers, or instructors. R. Bowden and L. Gonzalez researched whether contingent faculty members are different from tenure-track faculty members with regards to teaching, research, and service in the article “The Rise of Contingent Faculty: Its Impact on the Professoriate and Higher Education” (Journal of Applied Research in Higher Education, Vol. 4, No. 1, pp. 5–22). A hypothesis test was conducted to decide whether the mean number of classes taught for credit per semester was less for contingent faculty than for tenure-track faculty. a. identify the variable. b. identify the two populations. c. determine the null and alternative hypotheses. d. classify the hypothesis test as two tailed, left tailed, or right tailed.arrow_forward
- Testing Claims About Proportions. In Exercises 7–22, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Clinical Trials of OxyContin OxyContin (oxycodone) is a drug used to treat pain, but it is well known for its addictiveness and danger. In a clinical trial, among subjects treated with OxyContin, 52 developed nausea and 175 did not develop nausea. Among other subjects given placebos, 5 developed nausea and 40 did not develop nausea (based on data from Purdue Pharma L.P.). Use a 0.05 significance level to test for a difference between the rates of nausea for those treated with OxyContin and those given a placebo. a. Use a hypothesis test. b. Use an appropriate confidence interval. c. Does nausea appear to be an adverse reaction resulting from OxyContin?arrow_forwardInterpreting Displays. In Exercises 5 and 6, use the results from the given displays. Treating Carpal Tunnel Syndrome Carpal tunnel syndrome is a common wrist complaint resulting from a compressed nerve, and it is often the result of extended use of repetitive wrist movements, such as those associated with the use of a keyboard. In a randomized controlled trial, 73 patients were treated with surgery and 67 were found to have successful treatments. Among 83 patients treated with splints, 60 were found to have successful treatments (based on data from “Splinting vs Surgery in the Treatment of Carpal Tunnel Syndrome,” by Gerritsen et al., Journal of the American Medical Association, Vol. 288, No. 10). Use the accompanying StatCrunch display with a 0.01 significance level to test the claim that the success rate is better with surgery. StatCruncharrow_forwardLobbying Congress. In the special report, “Bitter Pill: Why Medical Bills Are Killing Us” (TIME, Vol. 181, No. 8, 2013), S. Brill presented an in-depth investigation of hospital billing practices that reveals why U.S. health care spending is out of control. One of the many statistics provided in the report is that, during the period from 1998 through 2012, thepharmaceutical and health-care-products industries and organizations representing doctors, hospitals, nursing homes, health services, and HMOs spent $5.36 billion lobbying Congress. a. Under what conditions would the $5.36 billion lobbyingexpenditure gure be a descriptive statistic? Explain your answer.b. Under what conditions would the $5.36 billion lobbyingexpenditure gure be an inferential statistic? Explain your answer.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
Functions and Change: A Modeling Approach to Coll...
Algebra
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Cengage Learning
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