Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 3, Problem 65CR
Americium 241 (241Am) is a radioactive material used in the manufacture of smoke detectors. The article “Retention and Dosimetry of Injected 241Am in Beagles” (Radiation Research [1984]: 564–575) described a study in which 55 beagles were injected with a dose of 241 Am (proportional to each animal’s weight). Skeletal retention of 241 Am (in microcuries per kilogram) was recorded for each beagle, resulting in the foil owing data:
- a. Construct a frequency distribution for these data, and draw the corresponding histogram.
- b. Write a short description of the important features of the shape of the histogram.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
An article reported on a study in which each of 13 workers was provided with both a conventional shovel and a shovel whose blade was perforated with small holes. The authors of the cited article provided the following data on energy expenditure
[kcal/kg(subject)/lb(clay)].
Worker:
2
4
5
6
Conventional: 0.0015 0.0015 0.0018 0.0022 0.001
0.0016 0.0028
Perforated:
0.0015 0.001
0.0019 0.0013 0.0011
0.0017 0.0024
Worker:
10
11
12
13
Conventional: 0.0021 0.0015 0.0014 0.0023 0.0017 0.002
Perforated:
0.0021 0.0013 0.0013 0.0017 0.0015
0.0013
n USE SALT
Do these data provide convincing evidence that the mean energy expenditure using the conventional shovel exceeds that using the perforated shovel? Test the relevant hypotheses using a significance level of 0.05. (Use SALT to calculate the P-value. Use
Hd = Hconventional - Hperforated Round your test statistic to one decimal place and your P-value to three decimal places.)
t=
df =
p-value =
State your conclusion.
O we fail to reject H,. We have…
A sociologist wants to determine if the life expectancy of people in Africa is less than
the life expectancy of people in Asia. The data obtained is shown in the table below.
Africa
Asia
= 63.3 yr.
1
X,=65.2 yr.
2
o, = 9.1 yr.
= 7.3 yr.
n1
= 120
= 150
In a study of exhaust emissions from school buses, the pollution intake by passengers was determined for a sample of nine school buses used in the Southern California Air Basin. The pollution intake is the amount of exhaust emissions, in grams per person, that would be inhaled while traveling on the bus during its usual 1818‑mile trip on congested freeways from South Central LA to a magnet school in West LA. (As a reference, the average intake of motor emissions of carbon monoxide in the LA area is estimated to be about 0.0000460.000046 grams per person.) The amounts for the nine buses when driven with the windows open are given.
1.151.15
0.330.33
0.400.40
0.330.33
1.351.35
0.380.38
0.250.25
0.400.40
0.350.35
A good way to judge the effect of outliers is to do your analysis twice, once with the outliers and a second time without them. Give two 90%90% confidence intervals, one with all the data and one with the outliers removed, for the mean pollution intake among all school buses…
Chapter 3 Solutions
Introduction To Statistics And Data Analysis
Ch. 3.1 - Each person in a nationally representative sample...Ch. 3.1 - The graphical display on the next page is similar...Ch. 3.1 - The survey referenced in the previous exercise was...Ch. 3.1 - The National Confectioners Association asked 1006...Ch. 3.1 - College student attitudes about e-books were...Ch. 3.1 - The Center for Science in the Public Interest...Ch. 3.1 - Using the data given in the previous exercise,...Ch. 3.1 - The article Housework around the World (USA TODAY,...Ch. 3.1 - The authors of the report Findings from the 2009...Ch. 3.1 - The survey on student attitude toward e-books...
Ch. 3.1 - During 2017, Gallup conducted a survey of adult...Ch. 3.1 - An article about college loans (New Rules Would...Ch. 3.1 - The report Findings From the 2014 College Senior...Ch. 3.2 - The National Center for Health Statistics provided...Ch. 3.2 - The paper State-Level Cancer Mortality...Ch. 3.2 - The accompanying data on seat belt use for each of...Ch. 3.2 - The previous exercise gave data on seat belt use...Ch. 3.2 - The U.S. Department of Health and Human Services...Ch. 3.2 - The article Economy Low, Generosity High (USA...Ch. 3.2 - The U.S. gasoline tax per gallon data for each of...Ch. 3.2 - A report from Texas Transportation Institute...Ch. 3.2 - The percentage of teens not in school or working...Ch. 3.3 - The data in the accompanying table are from the...Ch. 3.3 - The accompanying data on annual maximum wind speed...Ch. 3.3 - The accompanying relative frequency table is based...Ch. 3.3 - The data in the accompanying table represents the...Ch. 3.3 - Construct a histogram for the data in the previous...Ch. 3.3 - The following two relative frequency distributions...Ch. 3.3 - U.S. Census data for San Luis Obispo County,...Ch. 3.3 - Use the commute time data given in the previous...Ch. 3.3 - The report Trends in College Pricing 2012...Ch. 3.3 - An exam is given to students in an introductory...Ch. 3.3 - The accompanying frequency distribution summarizes...Ch. 3.3 - Example 3.19 used annual rainfall data for...Ch. 3.3 - Use the relative frequency distribution...Ch. 3.3 - Prob. 37ECh. 3.3 - Use the cumulative relative frequencies given in...Ch. 3.3 - Using the five class intervals 100 to 120, 120 to...Ch. 3.4 - The accompanying table gives data from a survey of...Ch. 3.4 - Consumer Reports Health (consumerreports.org) gave...Ch. 3.4 - Consumer Reports rated 29 fitness trackers (such...Ch. 3.4 - Consumer Reports (consumerreports.org) rated 37...Ch. 3.4 - The Solid Waste Management section of the...Ch. 3.4 - The report Daily Cigarette Use: Indicators on...Ch. 3.4 - The accompanying time series plot of movie box...Ch. 3.5 - The accompanying comparative bar chart is similar...Ch. 3.5 - The figure at the top left of the next page is...Ch. 3.5 - The figure at the top right of the next page is...Ch. 3.5 - The two graphical displays below are similar to...Ch. 3.5 - The following graphical display is similar to one...Ch. 3.5 - Explain why the following graphical display...Ch. 3 - Each year, The Princeton Review conducts surveys...Ch. 3 - Prob. 55CRCh. 3 - Prob. 56CRCh. 3 - Prob. 57CRCh. 3 - Prob. 58CRCh. 3 - Does the size of a transplanted organ matter? A...Ch. 3 - Prob. 60CRCh. 3 - The article Tobacco and Alcohol Use in G-Rated...Ch. 3 - Prob. 62CRCh. 3 - Prob. 63CRCh. 3 - Many nutritional experts have expressed concern...Ch. 3 - Americium 241 (241Am) is a radioactive material...Ch. 3 - Does eating broccoli reduce the risk of prostate...Ch. 3 - An article that appeared in USA TODAY (August 11,...Ch. 3 - Sometimes samples are composed entirely of...Ch. 3 - Prob. 4CRECh. 3 - More than half of Californias doctors say they are...Ch. 3 - Based on observing more than 400 drivers in the...Ch. 3 - An article from the Associated Press (May 14,...Ch. 3 - Prob. 8CRECh. 3 - Prob. 9CRECh. 3 - Prob. 10CRECh. 3 - The article Determination of Most Representative...Ch. 3 - The paper Lessons from Pacemaker Implantations...Ch. 3 - How does the speed of a runner vary over the...Ch. 3 - Prob. 14CRECh. 3 - One factor in the development of tennis elbow, a...Ch. 3 - An article that appeared in USA TODAY (September...
Additional Math Textbook Solutions
Find more solutions based on key concepts
In Exercises 9-20, use the data in the following table, which lists drive-thru order accuracy at popular fast f...
Essentials of Statistics (6th Edition)
Why is it difficult to define quality?
Introduction to Statistical Quality Control
A simple random sample of 200 third-graders in a large school district was chosen to participate in an after-sc...
Essential Statistics
Ten equally qualified marketing assistants are candidates for promotion to associate buyer; seven are men and t...
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
Teacher Salaries
The following data from several years ago represent salaries (in dollars) from a school distri...
Elementary Statistics: A Step By Step Approach
c
Solve.
70. Copy Center Account. Rachel’s copy-center bill for July was $327. She made a payment of $200 and t...
Developmental Mathematics (9th Edition)
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
- Americium 241 (241 Am) is a radioactive material used in the manufacture of 241 smoke detectors. An article described a study in which 55 beagles were injected with a dose of Am (proportional to each animal's weight). Skeletal retention of 241 Am (in microcuries per kilogram) was recorded for each beagle, resulting in the following data: 0.196 0.3 0.287 0.315 0.335 0.333 0.306 0.353 0.301 0.441 0.337 0.451 0.346 0.243 0.447 0.332 0.408 0.367 0.357 0.304 0.236 0.419 Answer: 0.498 0.448 0.334 0.585 0.292 0.399 0.345 0.32 0.489 0.354 0.428 0.411 0.188 0.299 0.291 0.375 0.303 0.186 0.349 0.318 0.345 0.361 0.324 0.399 0.292 0.19 0.305 0.419 0.393 0.324 0.468 0.412 0.329 By constructing an equal width GFDT (for the given dataset) with six classes and class width (using the given formula in Lecture note II) to be rounded to the nearest hundredth, what proportion of these observations are not less than 0.395 but less than or equal 0.535? (Type your answer in decimal form and round it to the…arrow_forwardAnalysis of several plant-food preparations for potassium ion yielded the following data:arrow_forwardThe article refered to in Exercise 1 also considered the effect of gypsum on the electric conductivity (in dS m) of soil. Two types of soil were each treated with three different amounts of gypsum, with two replicates for each soil-gypsum combination. The data are presented in the following table. Soil Type Gypsum (g/kg) Las Animas Madera 0.00 1.52 1.05 1.01 0.92 0.27 1.49 0.91 1.12 0.92 0.46 0.9 0.92 0.88 0.92 Is there convincing evidence of an interaction between the amount of gypsum and soil type? Can you conclude that the conductivity differs among the soil types? Can you conclude that the conductivity differs with the amount of gypsum added? C.arrow_forward
- 3.24 An article in the ACI Materials Journal (Vol. 84, 1987, pp. 213–216) describes several experiments investigating the rodding of concrete to remove entrapped air. A 3-inch × 6-inch cylinder was used, and the number of times this rod was used is the design variable. The resulting compressive strength of the concrete specimen is the response. The data are shown in the following table: Rodding Level Compressive Strength 10 1530 1530 1440 15 1610 1650 1500 20 1560 1730 1530 25 1500 1490 1510 Refer to the data above. Construct the ANOVA table manually. Show your calculation to find a. SSTotal b. SSTreatment c. SSError d. Degree of freedom e. Mean square error f. F statisticsarrow_forwardAmericium 241 (241Am) is a radioactive material used in the manufacture of smoke detectors. The article "Retention and Dosimetry of Injected 241Am in Beagles"t described a study in which 55 beagles were injected with a dose of 241Am (proportional to each animal's weight). Skeletal retention of 241 Am (in microcuries per kilogram) was recorded for each beagle, resulting in the following data. 0.196 0.451 0.498 0.411 0.324 0.190 0.489 0.300 0.346 0.448 0.188 0.399 0.305 0.304 0.287 0.243 0.334 0.299 0.292 0.419 0.236 0.315 0.447 0.585 0.291 0.186 0.393 0.419 0.335 0.332 0.292 0.375 0.349 0.324 0.301 0.33 0.408 0.399 0.303 0.318 0.468 0.441 0.306 0.367 0.345 0.428 0.345 0.412 0.337 0.353 0.357 0.320 0.354 0.361 0.329 A USE SALT (a) Construct a frequency distribution for these data. Commute Time Frequency 0.15 to <0.20 10 0.20 to <0.25 11 0.25 to <0.30 48 0.30 to <0.35 0.35 to <0.40 0.40 to <0.45 0.45 to <0.50 0.50 to <0.55 0.55 to <0.60arrow_forwardIn an article in IEEE Transactions on Instrumentation and Measurement (2001, Vol. 50, pp. 986-990), researchers reported on a study of the effects of reducing current draw in a magnetic core by electronic means. They measured the current in a magnetic winding with and without the electronics in a paired experiment. Data for the case without electronics are provided in the Table. Current Without Electronics (mA) Supply Voltage 0.66 7.32 1.32 12.22 1.98 16.34 2.64 23.66 3.3 28.06 3.96 33.39 4.62 34.12 3.28 39.21 5.94 44.21 6.6 47.48 (a) Estimate the correlation coefficient. (b) Test the hypothesis that p = 0 against the alternative p=0 with a = 0.05. What is the P-value? (c) Compute a 95% confidence interval for the correlation coefficient.arrow_forward
- The article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp.59-75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (°C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5°C using alpha (a) = 0.05. This problem is a test on what population parameter? What is the null and alternative hypothesis? What are the Significance level and type of test? What standardized test statistic will be used? What is the standard test statistic? What is the Statistical Decision? What is the statistical decision in the statement form?arrow_forwardAn environmental group took a sample from a river under study to check on the biochemical oxygen demand (BOD) of the organisms living in the river. The BOD test was conducted over a period of time (in days). The resulting data follow: Time (days): 1 2 4 6 8 10 12 14 18 20 BOD (mg/liter) 0.6 0.7 1.5 1.9 2.1 2.6 2.9 3.7 3.7 3.8 23 16 3.5arrow_forwardSolve An article in the ASCE Journal of Energy Engineering (1999, Vol. 125, pp.59-75) describes a study of the thermal inertia properties of autoclaved aerated concrete used as a building material. Five samples of the material were tested in a structure, and the average interior temperatures (°C) reported were as follows: 23.01, 22.22, 22.04, 22.62, and 22.59. Test that the average interior temperature is equal to 22.5°C using alpha (a) = 0.05. 1.)This problem is a test on what population parameter? a.Variance/ Standard Deviation b.Mean c.Population Proportion d.None of the above 2.)What is the null and alternative 3 points hypothesis? a.Ho / (theta = 22.5) , Ha: (0 # 22.5) b.Ho / (theta > 22.5) , Ha: (0 # 22.5) c.Ho / (theta < 22.5) , Ha: (theta >= 22.5) d.None of the above 3.)What are the Significance level 3 points and type of test? alpha = 0.05 two-tailed alpha = 0.95 two-tailed alpha = 0.95 one-tailed None of the above 4.)What standardized test statistic will…arrow_forward
- The paper "Accelerated Telomere Shortening in Response to Life Stress" (Proceedings of the National Academy of Sciences (2004): 17312-17315) described a study that examined whether stress accelerates aging at a cellular level. The accompanying data on a measure of perceived stress (x) and telomere length (y) were read from a scatterplot that appeared in the paper. Telomere length is a measure of cell longevity. 5.38 Perceived Telomere Perceived Telomere Stress Length Stress Length 5 1.25 20 1.22 1.32 20 1.30 1.5 20 1.32 7 1.35 21 1.24 10 1.3 21 1.26 11 1 21 1.30 12 1.18 22 1.18 13 1.1 22 1.22 14 1.08 22 1.24 14 1.3 23 1.18 15 0.92 24 1.12 15 1.22 24 1.50 15 1.24 25 0.94 17 1.12 26 0.84 17 1.32 27 1.02 17 1.4 27 1.12 18 1.12 28 1.22 18 1.46 29 1.30 19 0.84 33 0.94 a. Compute the equation of the least-squares line. b. What is the value of r? c. Does the linear relationship between perceived stress and telomere length account for a large or small proportion of the variability in telomere…arrow_forwardIn an effort to link cold environments with hypertension in humans, a preliminary experiment was conducted to investigate the effect of cold on hypertension in rats. Two random samples of 6 rats each were exposed to different environments. One sample of rats was held in a normal environment at 26°C. The other sample was held in a cold 5°C environment. Blood pressures and heart rates were measured for rats for both groups. The blood pressures for the 12 rats are shown in the table below. a. Provide a 95% confidence interval on the difference in the two population meansb. Do the data provide sufficient evidence that rats exposed to a 5°C environment have a higher mean blood pressure than rats exposed to a 26°C environment? Use α = 0.05arrow_forwardAn automobile dealer conducted a test to determine if the time in minutes needed to complete a minor engine tune-up depends on whether a computerized engine analyzer or an electronic analyzer is used. Because tune-up time varies among compact, intermediate, and full-sized cars, the three types of cars were used as blocks in the experiment. The data obtained follow. Analyzer Computerized Electronic Compact 50 41 Car Intermediate 56 44 Full-sized 62 47 Use a = 0.05 to test for any significant differences. State the null and alternative hypotheses. O Ho: Hcompact * HIntermediate * HFull-sized Ha: "Compact = HIntermediate = 4Full-sized O Ho: HComputerized * HElectronic Ha: HComputerized = HElectronic O Ho: HComputerized = HElectronic Ha: "Computerized * HElectronic O Ho: HComputerized = HElectronic = "Compact = HIntermediate = "Full-sized H.: Not all the population means are equal. O Ho: HCompact = HIntermediate = HFull-sized Hai H compact * HIntermediate * HFull-sized Find the value of…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