Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 15.2, Problem 12E
The article “A Study of Wood Stove Particulate Emissions” (J. of the Air Pollution Control Assoc., 1979: 724–728) reports the following data on bum time (hours) for samples of oak and pine. Test at level .05 to see whether there is any difference in true average burn time for the two types of wood.
Oak | 1.72 | .67 | 1.55 | 1.56 | 1.42 | 1.23 | 1.77 | .48 |
Pine | .98 | 1.40 | 1.33 | 1.52 | .73 | 1.20 |
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
The article “Hydrogeochemical Characteristics of Groundwater in a Mid-Western CoastalAquifer System” (S. Jeen, J. Kim, et al., Geosciences Journal, 2001:339–348) presentsmeasurements of various properties of shallow groundwater in a certain aquifer system inKorea. Following are measurements of electrical conductivity (in microsiemens percentimeter) for 23 water samples.2099 528 2030 1350 1018 384 14991265 375 424 789 810 522 513488 200 215 486 257 557 260461 500Find the mean.Find the standard deviation.Find the median.Construct a dotplot.Find the 10% trimmed mean.Find the first quartile.Find the third quartile.Find the interquartile range.Construct a boxplot.Which of the points, if any, are outliers?If a histogram were constructed, would it be skewed to the left, skewed to the right, orapproximately symmetric?
A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately
1
2
mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers.
Amount by Which Speed Limit Was Exceeded
MaleDriver
FemaleDriver
1.2
-0.1
1.4
0.4
0.9
1.1
2.1
0.7
0.7
1.1
1.3
1.2
3
0.1
1.3
0.9
0.6
0.5
2.1
0.5
(a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use μmales − μfemales.Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to…
A paper investigated the driving behavior of teenagers by observing their vehicles as they left a high school parking lot and then again at a site approximately
1
2
mile from the school. Assume that it is reasonable to regard the teen drivers in this study as representative of the population of teen drivers.
Amount by Which Speed Limit Was Exceeded
MaleDriver
FemaleDriver
1.3
-0.1
1.3
0.4
0.9
1.1
2.1
0.7
0.7
1.1
1.3
1.2
3
0.1
1.3
0.9
0.6
0.5
2.1
0.5
(a) Use a .01 level of significance for any hypothesis tests. Data consistent with summary quantities appearing in the paper are given in the table. The measurements represent the difference between the observed vehicle speed and the posted speed limit (in miles per hour) for a sample of male teenage drivers and a sample of female teenage drivers. (Use μmales − μfemales.Round your test statistic to two decimal places. Round your degrees of freedom down to the nearest whole number. Round your p-value to…
Chapter 15 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 15.1 - Give as much information as you can about the...Ch. 15.1 - Here again is the data on expense ratio (%) for a...Ch. 15.1 - The accompanying data is a subset of the data...Ch. 15.1 - A random sample of 15 automobile mechanics...Ch. 15.1 - Both a gravimetric and a spectrophotometric method...Ch. 15.1 - Reconsider the situation described in Exercise 39...Ch. 15.1 - Use the large-sample version of the Wilcoxon test...Ch. 15.1 - Reconsider the port alcohol content data from...Ch. 15.1 - Prob. 9ECh. 15.2 - Prob. 10E
Ch. 15.2 - Prob. 11ECh. 15.2 - The article A Study of Wood Stove Particulate...Ch. 15.2 - The urinary fluoride concentration (parts per...Ch. 15.2 - Prob. 14ECh. 15.2 - The article Measuring the Exposure of Infants to...Ch. 15.2 - Prob. 16ECh. 15.3 - Prob. 17ECh. 15.3 - Compute the 99% signed-rank interval for true...Ch. 15.3 - Prob. 19ECh. 15.3 - Prob. 20ECh. 15.3 - Prob. 21ECh. 15.3 - Compute a 99% CI for 1 2 using the data in...Ch. 15.4 - The accompanying data refers to concentration of...Ch. 15.4 - Prob. 24ECh. 15.4 - Prob. 25ECh. 15.4 - Prob. 26ECh. 15.4 - In an experiment to study the way in which...Ch. 15 - The article Effects of a Rice-Rich Versus...Ch. 15 - Prob. 29SECh. 15 - The given data on phosphorus concentration in...Ch. 15 - Prob. 31SECh. 15 - Prob. 32SECh. 15 - The sign test is a very simple procedure for...Ch. 15 - Prob. 34SECh. 15 - Prob. 35SECh. 15 - Prob. 36SE
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
- The spike stature of the plants grown from the seeds of the porcine separates (Dactylis glomerata L) collected from the University campus and İbradı Eynif pasture are given below. In this plant, compare whether there is a difference between regions in terms of spike height. Virgo Height (cm) Data obtained from plants collected from university campus 5 6 8 7 8 6 5 5 4 6 6 Data obtained from plants collected from Eynif pasture 12 9 11 9 9 11 9 10 11 10 Note: Your results interpretation according to two different possibilities (Do it separately, assuming that it is 0.07 and 0.04).arrow_forwardThe following data are from a random sample of 10 students who participated in a study undertaken to investigate the effect of sleep time (measured in average number of hours of sleep per night) on GPA (grade point average, measured on a 4-point scale). Student Sleep time GPA 1 7 3.28 2 9 3.16 3 8 3.75 4 6 2.50 5 4 2.45 6 8 2.91 7 7 3.53 8 6 3.02 9 3 2.30 10 8 3.48 a. Find the equation between GPA (y) as function of sleep time (x). b. What is the estimated GPA of a student who averages 5 hours of sleep per night? c. What is the coefficient of determination? *(no use EXCEL)arrow_forwardrofessor Cornish studied rainfall cycles and sunspot cycles. (Reference: Australian Journal of Physics, Vol. 7, pp. 334-346.) Part of the data include amount of rain (in mm) for 6-day intervals. The following data give rain amounts for consecutive 6-day intervals at Adelaide, South Australia. 7 28 7 1 69 3 1 4 22 7 16 4 54 160 60 73 27 3 3 1 7 144 107 4 91 44 1 8 4 22 4 59 116 52 4 155 42 24 11 43 3 24 19 74 26 63 110 39 34 71 52 39 8 0 15 2 14 9 1 2 4 9 6 10 (i) Find the median. (Use 1 decimal place.)(ii) Convert this sequence of numbers to a sequence of symbols A and B, where A indicates a value above the median and B a value below the median. Test the sequence for randomness about the median at the 5% level of significance. (b) Find the number of runs R, n1, and n2. Let n1 = number of values above the median and n2 = number of values below the median. R n1 n2 (c) In the case, n1 > 20, we cannot use Table 10 of Appendix II to find the critical…arrow_forward
- An article reported data from a study in which both a baseline gasoline mixture and a reformulated gasoline were used. Consider the following observations on age (yr) and NOx emissions (g/kWh): Engine 1 2 3 4 5 6 7 8 9 10 Age 0 0 2 11 7 16 9 0 12 4 Baseline 1.70 4.38 4.06 1.24 5.29 0.59 3.35 3.45 0.73 1.22 Reformulated 1.86 5.91 5.51 2.70 6.50 0.71 4.95 4.86 0.72 1.41 Construct scatter plots of the baseline NOx emissions versus age. What appears to be the nature of the relationship between these two variables? There is no compelling relationship between the data. As age increases, emissions also increase. As age increases, emissions decrease.arrow_forwardConsider the following measurements of blood hemoglobin concentrations (in g/dL) from three human populations at different geographic locations: population1 = [ 14.7 , 15.22, 15.28, 16.58, 15.10 ] population2 = [ 15.66, 15.91, 14.41, 14.73, 15.09] population3 = [ 17.12, 16.42, 16.43, 17.33] What is the standard error of the difference between the means of population 1 and population 2, needed to calculate the Tukey-Kramer q-statistic? What is the Tukey-Kramer q-statistic for populations 1 and 2? (Report the absolute value, if you get a negative number, multiply by -1)arrow_forwardAn article reported data from a study in which both a baseline gasoline mixture and a reformulated gasoline were used. Consider the following observations on age (yr) and NOx emissions (g/kWh): Engine 1 2 3 4 5 6 7 8 9 10 Age 0 0 2 11 7 16 9 0 12 4 Baseline 1.74 4.38 4.04 1.23 5.30 0.58 3.35 3.44 0.73 1.23 Reformulated 1.85 5.93 5.52 2.67 6.54 0.76 4.94 4.87 0.69 1.39 Construct scatter plots of the baseline NOx emissions versus age. Construct scatter plots of the reformulated NOx emissions versus age. What appears to be the nature of the relationship between these two variables? As age increases, emissions also increase.As age increases, emissions decrease. There is no compelling relationship between the data.arrow_forward
- The accompanying data set consists of observationson shower-flow rate (L/min) for a sample of n 5 129houses in Perth, Australia (“An Application of BayesMethodology to the Analysis of Diary Records in aWater Use Study,” J. Amer. Stat. Assoc., 1987:705–711):4.6 12.3 7.1 7.0 4.0 9.2 6.7 6.9 11.5 5.111.2 10.5 14.3 8.0 8.8 6.4 5.1 5.6 9.6 7.57.5 6.2 5.8 2.3 3.4 10.4 9.8 6.6 3.7 6.48.3 6.5 7.6 9.3 9.2 7.3 5.0 6.3 13.8 6.25.4 4.8 7.5 6.0 6.9 10.8 7.5 6.6 5.0 3.37.6 3.9 11.9 2.2 15.0 7.2 6.1 15.3 18.9 7.25.4 5.5 4.3 9.0 12.7 11.3 7.4 5.0 3.5 8.28.4 7.3 10.3 11.9 6.0 5.6 9.5 9.3 10.4 9.75.1 6.7 10.2 6.2 8.4 7.0 4.8 5.6 10.5 14.610.8 15.5 7.5 6.4 3.4 5.5 6.6 5.9 15.0 9.67.8 7.0 6.9 4.1 3.6 11.9 3.7 5.7 6.8 11.39.3 9.6 10.4 9.3 6.9 9.8 9.1 10.6 4.5 6.28.3 3.2 4.9 5.0 6.0 8.2 6.3 3.8 6.0 b. What is a typical, or representative, flow rate?arrow_forwardThe accompanying data set consists of observationson shower-flow rate (L/min) for a sample of n 5 129houses in Perth, Australia (“An Application of BayesMethodology to the Analysis of Diary Records in aWater Use Study,” J. Amer. Stat. Assoc., 1987:705–711):4.6 12.3 7.1 7.0 4.0 9.2 6.7 6.9 11.5 5.111.2 10.5 14.3 8.0 8.8 6.4 5.1 5.6 9.6 7.57.5 6.2 5.8 2.3 3.4 10.4 9.8 6.6 3.7 6.48.3 6.5 7.6 9.3 9.2 7.3 5.0 6.3 13.8 6.25.4 4.8 7.5 6.0 6.9 10.8 7.5 6.6 5.0 3.37.6 3.9 11.9 2.2 15.0 7.2 6.1 15.3 18.9 7.25.4 5.5 4.3 9.0 12.7 11.3 7.4 5.0 3.5 8.28.4 7.3 10.3 11.9 6.0 5.6 9.5 9.3 10.4 9.75.1 6.7 10.2 6.2 8.4 7.0 4.8 5.6 10.5 14.610.8 15.5 7.5 6.4 3.4 5.5 6.6 5.9 15.0 9.67.8 7.0 6.9 4.1 3.6 11.9 3.7 5.7 6.8 11.39.3 9.6 10.4 9.3 6.9 9.8 9.1 10.6 4.5 6.28.3 3.2 4.9 5.0 6.0 8.2 6.3 3.8 6.0 a. Construct a stem-and-leaf display of the data.b. What is a typical, or representative, flow rate?c. Does the display appear to be highly concentrated orspread out?d. Does the distribution of values appear to…arrow_forwardRefer to Exercise 8.S.6. Analyze these data using a Wilcoxon signed-rank test.arrow_forward
- Six samples of each of four types of cereal grain grown in a certain region were analyzed to determine thiamin content, resulting in the following data (µg/g). Wheat 5.3 4.4 6.1 6.1 6.6 5.8 Barley 6.4 8.1 6.2 7.5 5.9 5.6 Maize 5.7 4.8 6.5 5.0 6.1 5.2 Oats 8.2 6.1 7.9 7.1 5.4 7.3 Does this data suggest that at least two of the grains differ with respect to true average thiamin content? Use a level ? = 0.05 test.State the appropriate hypotheses. H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: at least two ?i's are equal H0: ?1 = ?2 = ?3 = ?4 Ha: at least two ?i's are unequal H0: ?1 = ?2 = ?3 = ?4 Ha: all four ?i's are unequal H0: ?1 ≠ ?2 ≠ ?3 ≠ ?4 Ha: all four ?i's are equal Compute the test statistic value. (Round your answer to two decimal places.)f = What can be said about the P-value for the test? P-value > 0.100 0.050 < P-value < 0.100 0.010 < P-value < 0.050 0.001 < P-value < 0.010 P-value < 0.001 State the conclusion in the problem context. Reject H0.…arrow_forwardDr. Stevenson reported the following in a journal: “F (4, 106) = 10.09, p = .04.” Should Dr. Stevenson state that there are significant differences among the variable means at a .01 alpha level?arrow_forwardDr. Romanoff reported the following in a journal: “F (5, 106) = 10.09, p = .04.” Should Dr. Romanoff state that there are significant differences among the variable means at a .05 alpha level?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