Elementary Statistics Plus MyLab Statistics with Pearson eText -- Title-Specific Access Card Package (13th Edition)
13th Edition
ISBN: 9780134763705
Author: Mario F. Triola
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 13.4, Problem 6BSC
Wilcoxon Rank-Sum Test. In Exercises 5–8, use the Wilcoxon rank-sum test.
6. Radiation in Baby Teeth Listed below are amounts of strontium-90 (in millibecquerels, or mBq, per gram of calcium) in a simple random sample of baby teeth obtained from Pennsylvania residents and New York residents born after 1979 (based on data from “An Unexpected Rise in Strontium-90 in U.S. Deciduous Teeth in the 1990s,” by Mangano et al., Science of the Total Environment). Use a 0.05 significance level to test the claim that the median amount of strontium-90 from Pennsylvania residents is the same as the median from New York residents.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Radiation in Baby Teeth Listed below are amounts of strontium-90 (in millibecquerels, or mBq) in a simple random sample of baby teeth obtained from Pennsylvania residents born after 1979 (based on data from “An Unexpected Rise in Strontium-90 in U.S. Deciduous Teeth in the 1990s,” by Mangano et. al., Science of the Total Environment).
STAT 3128
Homeowrk Section
Question 1. Let u denote the true average radioactivity level (picocuries per liter). The
value 5 pci/L is considered the dividing line between safe and unsafe water. Would you
recommend testing Ho: μ = 5 versus Ha: > 5 or Ho μ = 5 versus Ha: μ 5. A type II error in this case involves
deciding the water is safe when it isn't. This is a very serious error, so a test which ensures
that this error is highly unlikely is desirable. We prefer that the most serious error be a type
II error because it can be explicitly controlled.
One should test Ho: μ = 5 versus Ha> 5. A type I error in this case involves deciding
the water is safe when it isn't. This is a very serious error, so a test which ensures that this
error is highly unlikely is desirable. We prefer that the most serious error be a type I error
because it can be explicitly controlled.
Radioactive cesium (cesium-134 and cesium-137) is a waste product of nuclear reactors. A study examined the radioactive cesium tissue concentration of a random sample of 16 Pacific bluefin tuna, Thunnus orientalis, captured off the coast of California four months after the Fukushima nuclear reactor meltdown of 2011. Here are the findings, (the units are in becquerels per kilogram of dry tissue.)
(a) Describe the unknown parameter using the context of this study and correct symbol for this parameter.(b) Construct a 99% confidence interval to estimate this parameter.(c) Give a practical interpretation for this confidence interval, using the context of this problem.
Chapter 13 Solutions
Elementary Statistics Plus MyLab Statistics with Pearson eText -- Title-Specific Access Card Package (13th Edition)
Ch. 13.2 - Prob. 1BSCCh. 13.2 - Prob. 2BSCCh. 13.2 - Contradicting H1 An important step in conducting...Ch. 13.2 - Efficiency of the Sign Test Refer to Table 13-2 on...Ch. 13.2 - Matched Pairs. In Exercises 58, use the sign test...Ch. 13.2 - Matched Pairs. In Exercises 58, use the sign test...Ch. 13.2 - Matched Pairs. In Exercises 58, use the sign test...Ch. 13.2 - Matched Pairs. In Exercises 58, use the sign test...Ch. 13.2 - Nominal Data. In Exercises 912, use the sign test...Ch. 13.2 - Nominal Data. In Exercises 912, use the sign test...
Ch. 13.2 - Nominal Data. In Exercises 912, use the sign test...Ch. 13.2 - Nominal Data. In Exercises 912, use the sign test...Ch. 13.2 - Appendix B Data Sets. In Exercises 1316, refer to...Ch. 13.2 - Appendix B Data Sets. In Exercises 1316, refer to...Ch. 13.2 - Appendix B Data Sets. In Exercises 1316, refer to...Ch. 13.2 - Appendix B Data Sets. In Exercises 1316, refer to...Ch. 13.2 - Procedures for Handling Ties In the sign lest...Ch. 13.2 - Finding Critical Values Table A-7 lists critical...Ch. 13.3 - Wilcoxon Signed-Ranks Test for Body Temperatures...Ch. 13.3 - Prob. 2BSCCh. 13.3 - Prob. 3BSCCh. 13.3 - Prob. 4BSCCh. 13.3 - Using the Wilcoxon Signed-Ranks Test. In Exercises...Ch. 13.3 - Using the Wilcoxon Signed-Ranks Test. In Exercises...Ch. 13.3 - Using the Wilcoxon Signed-Ranks Test. In Exercises...Ch. 13.3 - Using the Wilcoxon Signed-Ranks Test. In Exercises...Ch. 13.3 - Prob. 9BSCCh. 13.3 - Prob. 10BSCCh. 13.3 - Prob. 11BSCCh. 13.3 - Prob. 12BSCCh. 13.3 - Rank Sums Exercise 12 uses Data Set 23 Old...Ch. 13.4 - Prob. 1BSCCh. 13.4 - Rank Sum After ranking the combined list of...Ch. 13.4 - Prob. 3BSCCh. 13.4 - Prob. 4BSCCh. 13.4 - Wilcoxon Rank-Sum Test. In Exercises 58, use the...Ch. 13.4 - Wilcoxon Rank-Sum Test. In Exercises 58, use the...Ch. 13.4 - Wilcoxon Rank-Sum Test. In Exercises 58, use the...Ch. 13.4 - Wilcoxon Rank-Sum Test. In Exercises 58, use the...Ch. 13.4 - Prob. 9BSCCh. 13.4 - Appendix B Data Sets. In Exercises 912, refer to...Ch. 13.4 - Appendix B Data Sets. In Exercises 912, refer to...Ch. 13.4 - Appendix B Data Sets. In Exercises 912, refer to...Ch. 13.4 - Prob. 13BBCh. 13.4 - Finding Critical Values Assume that we have two...Ch. 13.5 - Prob. 1BSCCh. 13.5 - Requirements Assume that we want to use the data...Ch. 13.5 - Notation For the data given in Exercise 1,...Ch. 13.5 - Efficiency Refer to Table 13-2 on page 600 and...Ch. 13.5 - Prob. 5BSCCh. 13.5 - Prob. 6BSCCh. 13.5 - Prob. 7BSCCh. 13.5 - Prob. 8BSCCh. 13.5 - Appendix B Data Sets. In Exercises 912, use the...Ch. 13.5 - Prob. 10BSCCh. 13.5 - Appendix B Data Sets. In Exercises 912, use the...Ch. 13.5 - Appendix B Data Sets. In Exercises 912, use the...Ch. 13.5 - Correcting the H Test Statistic for Ties In using...Ch. 13.6 - Regression If the methods of this section are used...Ch. 13.6 - Level of Measurement Which of the levels of...Ch. 13.6 - Notation What do r, rs , and ps denote? Why is the...Ch. 13.6 - Prob. 4BSCCh. 13.6 - In Exercises 5 and 6, use the scatterplot to find...Ch. 13.6 - In Exercises 5 and 6, use the scatterplot to find...Ch. 13.6 - Testing for Rank Correlation. In Exercises 712,...Ch. 13.6 - Prob. 8BSCCh. 13.6 - Testing for Rank Correlation. In Exercises 712,...Ch. 13.6 - Testing for Rank Correlation. In Exercises 712,...Ch. 13.6 - Prob. 11BSCCh. 13.6 - Testing for Rank Correlation. In Exercises 712,...Ch. 13.6 - Prob. 13BSCCh. 13.6 - Appendix B Data Sets. In Exercises 1316, use the...Ch. 13.6 - Appendix B Data Sets. In Exercises 1316, use the...Ch. 13.6 - Prob. 16BSCCh. 13.6 - Prob. 17BBCh. 13.7 - In Exercises 14, use the following sequence of...Ch. 13.7 - Prob. 2BSCCh. 13.7 - Prob. 3BSCCh. 13.7 - Prob. 4BSCCh. 13.7 - Using the Runs Test for Randomness. In Exercises...Ch. 13.7 - Prob. 6BSCCh. 13.7 - Prob. 7BSCCh. 13.7 - Using the Runs Test for Randomness. In Exercises...Ch. 13.7 - Prob. 9BSCCh. 13.7 - Prob. 10BSCCh. 13.7 - Runs Test with Large Samples. In Exercises 912,...Ch. 13.7 - Prob. 12BSCCh. 13 - Prob. 1CQQCh. 13 - Prob. 2CQQCh. 13 - Prob. 3CQQCh. 13 - Prob. 4CQQCh. 13 - Prob. 5CQQCh. 13 - Prob. 6CQQCh. 13 - Prob. 7CQQCh. 13 - Prob. 8CQQCh. 13 - Prob. 9CQQCh. 13 - Which Test? Three different judges give the same...Ch. 13 - Prob. 1RECh. 13 - Using Nonparametric Tests. In Exercises 110, use a...Ch. 13 - Prob. 3RECh. 13 - Prob. 4RECh. 13 - Prob. 5RECh. 13 - Prob. 6RECh. 13 - Using Nonparametric Tests. In Exercises 110, use a...Ch. 13 - Prob. 8RECh. 13 - Using Nonparametric Tests. In Exercises 1-10, use...Ch. 13 - Prob. 10RECh. 13 - Prob. 1CRECh. 13 - Prob. 2CRECh. 13 - In Exercises 13, use the data listed below. The...Ch. 13 - Prob. 4CRECh. 13 - Prob. 5CRECh. 13 - Prob. 6CRECh. 13 - Prob. 7CRECh. 13 - Prob. 8CRECh. 13 - Fear of Heights Among readers of a USA Today...Ch. 13 - Cell Phones and Crashes: Analyzing Newspaper...Ch. 13 - Prob. 1TPCh. 13 - Prob. 1FDD
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
- t-test 3. Suppose you are studying the distribution of zinc in a lake and want to know if there is a significant difference between the concentration of Zn2+ at the sediment-water interface and its concentration at the air-water interface. You collect samples from six locations—near the lake’s center, near its drainage outlet, etc.—obtaining the results (in mg/L) shown in the table. Using this data, determine if there is a significant difference between the concentration of Zn2+ at the two interfaces at α=0.05. Complete this analysis treating the data as paired. Location Air-Water Interface Sediment-Water Interface 1 0.430 0.415 2 0.266 0.238 3 0.457 0.390 4 0.531 0.410 5 0.707 0.605 6 0.716 0.609arrow_forwardRandom collections of nine different solutions of a calcium compound were given to two laboratories, A and B. Each laboratory measured the calcium content (in mmol per liter) and reported the results. The data are paired by calcium compound. Compound 1 2 3 4 5 6 7 8 9 Lab A (x) 12.35 9.83 10.79 11.31 8.58 13.69 14.68 15.07 11.57 Lab B (y) 12.18 9.72 10.70 11.51 8.63 13.58 14.71 15.24 11.57 (a) Rank-order the data using 1 for the lowest calcium reading. Make a table of ranks to be used in a Spearman rank correlation test. Compound Lab A (x) Lab B (y) d = x − y d2 1 2 3 4 5 6 7 8 9 Σd2 = (b) Use a 5% level of significance to test for a monotone relation (either way) between ranks. Interpret the results. What is the level of significance? Compute the sample test statistic. (Round your answer to three decimal places.)arrow_forwardAn article in the San Jose Mercury News stated that students in the California state university system take 4.5 years, on average, to finish their undergraduate degrees. Dr. Lewis believes the mean time for students at Clayton State University is longer than this average. A survey of 49 graduates from Clayton State had a mean time of 5.1 years to complete their Bachelor's degree, with a sample standard deviation of 1.2 years. Correctly identify the null and alternative hypotheses for this study:arrow_forward
- 6 A study was conducted that measured the total brain volume (TBV) (in mm3) of patients that had schizophrenia and patients that are considered normal. Table #1 contains the TBV of the normal patients and Table #2 contains the TBV of schizophrenia patients ("SOCR data Oct2009," 2013). Table #1: Total Brain Volume (in mm3) of Normal Patients 1663407 1583940 1299470 1535137 1431890 1578698 1453510 1650348 1288971 1366346 1326402 1503005 1474790 1317156 1441045 1463498 1650207 1523045 1441636 1432033 1420416 1480171 1360810 1410213 1574808 1502702 1203344 1319737 1688990 1292641 1512571 1635918 Table #2: Total Brain Volume (in mm3) of Schizophrenia Patients 1331777 1487886 1066075 1297327 1499983 1861991 1368378 1476891 1443775 1337827 1658258 1588132 1690182 1569413 1177002 1387893 1483763 1688950 1563593 1317885 1420249 1363859 1238979…arrow_forwardRandom collections of nine different solutions of a calcium compound were given to two laboratories, A and B. Each laboratory measured the calcium content (in mmol per liter) and reported the results. The data are paired by calcium compound. Compound 1 2 3 4 5 6 7 8 9 Lab A (x) 15.36 12.83 8.81 11.30 13.59 9.66 10.72 14.05 11.54 Lab B (y) 15.17 12.72 8.69 11.45 13.63 9.63 10.75 14.23 11.55 (a) Rank-order the data using 1 for the lowest calcium reading. Make a table of ranks to be used in a Spearman rank correlation test. (b) Compute the sample test statistic. (Round your answer to three decimal places.)arrow_forwardCardiovascular Disease Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men in 2000. To look at changes in incidence over time, 5000 men in this age group were followed for 1 year starting in 2010. Fifteen new cases of MI were found. 7.14 Of the 15 new MI cases in the preceding study, 5 died within 24 hours. Test whether the 24-hour case- fatality rate changed from 2000 to 2010.arrow_forward
- Z, a local jazz station, has hired you as a research consultant to determine which demographic groups should be the radio station market. In particular, the station believes that there is a difference between men and women in terms of their opinions of jazz music. By randomly sampling men and women from the Houston metropolitan region, you calculate the results in Table 1. You also calculate a gamma of .064 and a chi-square of 1.99 with 2 degrees of freedom from the table. Note that the measure of association (gamma) of .064 indicates a very weak relationship between gender and like of jazz. In a paragraph of at least five to six sentences, discuss whether the percent distribution of the cross-tab, the measure of association, and chi-square supports, or does not support, the station’s hypothesis. Ensure that you mention hypothesis how the IV percent distribution changes in relationship to the DV what level of significance you used, and how the chi-square obtained from the sample…arrow_forwardPi- P2 Z. = %3D SE Suppose a drug company is developing a vaccine, designed to protect against a particular virus. The company states that the vaccine will be equally effective for men and women. In its initial stage, a researcher selects a random sample of 200 men and 100 women independently. At the end of the study, 15 of the men and 10 of the women showed symptoms of the virus after taking the vaccine. Is there enough evidence to conclude that there is a significant difference in the proportions of men and women who show symptoms of the virus after taking the vaccine? (a) State the appropriate hypotheses to answer this question. (b) Compute the test-statistic. (c) (i) Calculate the p-value. (ii) Interpret the p-value you have found. (d) State your conclusion in context of the situation. Page 1 135arrow_forward8:38 ull ? AA www-awn.aleks.com O DESCRIPTIVE STATISTICS Approximating the standard. A sociologist studying the justice system has just written a paper detailing her findings after examining the records of thousands of inmates. Among other things, she looked at the time spent in prison by inmates who had been sentenced to 5– 10 years for a felony conviction. The histogram below, which appears in her paper, summarizes the time spent in prison for each of 50 such inmates. Frequency 20- 15- 10- 20 60 Time spent in prison (in months) 40 80 100 120 Based on this histogram, estimate the standard deviation of the sample of so prison terms. Carry your intermediate computations to at least four decimal places, and round your answer to at least one decimal place. (If necessary, consult a list of formulas.) Explanation Check Terms of Use I Privacy Accessibilityarrow_forward
- Han Samples are collected from the River X and pH values are observed. 9 different pH values are listed in table 3. Table 3 Concentrations 4.2 3.8 6.0 3.5 8.1 4.9 4.1 3.2 4.0Draw box plot and find a. Bowley’s coefficient of skewness b. Karl Pearson’s coefficient of skewness c. Third momentarrow_forwardestion 1. Exercise 10.3. Let X be the number of rolls of a fair die until I see the first six. Next, I choose a sample, with replacement, of size X from an urn with 5 red and 4 balls. Let Y be the number of green balls in my sample. green (a) Find EY X]. (b) Use your answer from part (a) to find EY. tion: English (India)arrow_forward9:50 AA www-awn.aleks.com O DESCRIPTIVE STATISTICS Mean, median, and. Shasia v On each trial of an experiment, a participant is presented with a constant soft noise, which is interrupted at some unpredictable time by a slightly louder sound. The time it takes for the participant to react to the louder sound is recorded. The following list contains the reaction times (in milliseconds) for 26 trials of this experiment. 156, 202, 214, 222, 234, 250, 279, 280, 280, 297, 298, 299, 301, 303, 311, 329, 340, 358, 373, 394, 419, 436, 451, 583, 701, 864 Send data to Excel Frequency 12 12 10- 2 10 8- 6- 4- 2 2+ 150 300 450 600 750 1000 Reaction time (in milliseconds) OMean (a) Which measures of central tendency do not exist for this data set? Choose all that apply. OMedian OMode ONone of these measures (b) Suppose that the measurement 864 (the OMean largest measurement in the data set) were replaced by 1169. Which measures of central a tendency would be affected by the change? UMode Choose all…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill
Glencoe Algebra 1, Student Edition, 9780079039897...
Algebra
ISBN:9780079039897
Author:Carter
Publisher:McGraw Hill
Hypothesis Testing using Confidence Interval Approach; Author: BUM2413 Applied Statistics UMP;https://www.youtube.com/watch?v=Hq1l3e9pLyY;License: Standard YouTube License, CC-BY
Hypothesis Testing - Difference of Two Means - Student's -Distribution & Normal Distribution; Author: The Organic Chemistry Tutor;https://www.youtube.com/watch?v=UcZwyzwWU7o;License: Standard Youtube License