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
Concept explainers
Videos
Textbook Question
Chapter 10, Problem 38SE
An article in the British scientific journal Nature (“Sucrose Induction of Hepatic Hyperplasia in the Rat,” August 25,1972: 461) reports on an experiment in which each of five groups consisting of six rats was put on a diet with a different carbohydrate. At the conclusion of the experiment, the DNA content of the liver of each rat was determined (mg/g liver), with the following results:
| Carbohydrate |
|
| Starch | 2.58 |
| Sucrose | 2.63 |
| Fructose | 2.13 |
| Glucose | 2.41 |
| Maltose | 2.49 |
Assuming also that
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
In a study of a group of women science majors who remained in their profession and a group who left their profession within a few months of graduation, the researchers collected the data shown here on a self-esteem questionnaire.
Leavers
Stayers
1 = 3.09
2 = 2.92
σ1 = 0.78
σ2 = 0.78
n1 = 107
n2 = 222
At α = 0.01, can it be concluded that there is a difference in the self-esteem scores of the two groups? Use the P-value method.
a major cereal manufacturer is awarding prize certificates in its #1 cereal. a random sample of 60 cereal boxes is selected and 5 are found to contain prize certificates. find the 90% C.I for the true proportion of prize certificates.
In a study of a group of women science majors who remained in their profession and a group who left their profession within a few months of graduation, the researchers collected the data shown here on a self-esteem questionnaire.
Leavers Stayers1 = 3.05 2 = 2.92σ1 = 0.71 σ2 = 0.71n1 = 100 n2 = 227At α = 0.05, can it be concluded that there is a difference in the self-esteem scores of the two groups? Use the P-value method.
Chapter 10 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 10.1 - In an experiment to compare the tensile strengths...Ch. 10.1 - Suppose that the compression-strength observations...Ch. 10.1 - The lumen output was determined for each of I = 3...Ch. 10.1 - It is common practice in many countries to destroy...Ch. 10.1 - Consider the following summary data on the modulus...Ch. 10.1 - The article Origin of Precambrian Iron Formations...Ch. 10.1 - An experiment was carried out to compare...Ch. 10.1 - A study of the properties of metal plate-connected...Ch. 10.1 - Six samples of each of four types of cereal grain...Ch. 10.1 - In single-factor ANOVA with I treatments and J...
Ch. 10.2 - An experiment to compare the spreading rates of...Ch. 10.2 - In Exercise 11, suppose x3. = 427.5. Now which...Ch. 10.2 - Prob. 13ECh. 10.2 - Use Tukeys procedure on the data in Example 10.3...Ch. 10.2 - Exercise 10.7 described an experiment in which 26...Ch. 10.2 - Reconsider the axial stiffness data given in...Ch. 10.2 - Prob. 17ECh. 10.2 - Consider the accompanying data on plant growth...Ch. 10.2 - Prob. 19ECh. 10.2 - Refer to Exercise 19 and suppose x1 = 10, x2 = 15,...Ch. 10.2 - The article The Effect of Enzyme Inducing Agents...Ch. 10.3 - The following data refers to yield of tomatoes...Ch. 10.3 - Apply the modified Tukeys method to the data in...Ch. 10.3 - The accompanying summary data on skeletal-muscle...Ch. 10.3 - Lipids provide much of the dietary energy in the...Ch. 10.3 - Samples of six different brands of diet/imitation...Ch. 10.3 - Although tea is the worlds most widely consumed...Ch. 10.3 - For a single-factor ANOVA with sample sizes Ji(i =...Ch. 10.3 - When sample sizes are equal (Ji = J). the...Ch. 10.3 - Reconsider Example 10.8 involving an investigation...Ch. 10.3 - When sample sizes are not equal, the non...Ch. 10.3 - In an experiment to compare the quality of four...Ch. 10.3 - Prob. 33ECh. 10.3 - Simplify E(MSTr) for the random effects model when...Ch. 10 - An experiment was carried out to compare flow...Ch. 10 - Cortisol is a hormone that plays an important role...Ch. 10 - Numerous factors contribute to the smooth running...Ch. 10 - An article in the British scientific journal...Ch. 10 - Prob. 39SECh. 10 - Prob. 40SECh. 10 - Prob. 41SECh. 10 - The critical flicker frequency (cff) is the...Ch. 10 - Prob. 43SECh. 10 - Four types of mortarsordinary cement mortar (OCM)....Ch. 10 - Prob. 45SECh. 10 - Prob. 46SE
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
- Let X1 and X2 be independent chi-square random variables with r1 and r2 degrees of freedom, respectively. Let Y1=(X1/r1)/(X2/r2) and Y2=X2. (a) Find the joint pdf of Y1 and Y2.arrow_forwardMeteoroids. In the article “Interstellar Pelting” (Scientific American, Vol. 288, No. 5, pp. 28–30), G. Musser explained that information on extrasolar planets can be discerned from foreign material and dust found in our solar system. Studies show that 1 in every 100 meteoroids entering Earth’s atmosphere is actually alien matter from outside our solar system. a. Of 300 meteoroids entering the Earth’s atmosphere, how many would you expect to be alien matter from outside our solar system? Justify your answer. b. Apply the Poisson approximation to the binomial distribution to determine the probability that, of 300 meteoroids entering the Earth’s atmosphere, between 2 and 4, inclusive, are alien matter from outside our solar system. c. Apply the Poisson approximation to the binomial distribution to determine the probability that, of 300 meteoroids entering the Earth’s atmosphere, at least 1 is alien matter from outside our solar system.arrow_forwardThe article “Effects of Diets with Whole Plant-Origin Proteins Added with Different Ratiosof Taurine:Methionine on the Growth, Macrophage Activity and Antioxidant Capacity ofRainbow Trout (Oncorhynchus mykiss) Fingerlings” (O. Hernandez, L. Hernandez, et al.,Veterinary and Animal Science, 2017:4-9) reports that a sample of 210 juvenile rainbowtrout fed a diet fortified with equal amounts of the amino acids taurine and methionine for aperiod of 70 days had a mean weight gain of 313 percent with a standard deviation of 25, while 210 fish fed with a control diet had a mean weight gain of 233 percent with a standard deviation of 19. Units are percent. Find a 99% confidence interval for the difference in weight gain on the two diets.arrow_forward
- Let X denote the reaction time, in seconds, to a certain stimulus and Y denote the temperature (◦F) at which a certain reaction starts to take place. Suppose that two random variables X and Y have the joint densityarrow_forwardThe table below shows the results of a random sample of patients at a hospital classified by the mutually exclusive categories: gender and blood type. Blood Type/Gender OT1 AT2 BT3 ABT4 Total FemaleS1 100 50 25 15 190 MaleS2 100 25 10 5 140 Total 200 75 35 20 330 If a person is selected at random from this sample, calculate P(T1|S1) _______ (This means the person has Type O blood given that the person is Female) If a person is selected at random from this sample, calculate P(S1|T1) _______ If a person is selected at random from this sample, calculate P(T1 and S1) _______ Are T1 and S1 independent events? _______arrow_forwardA District manager kept track of the sales of 14 stores before the start of an advertisement campaign and after the sales campaign. Check for significant gains in sales at the 0.05 alpha level. State the hypothesis that you are checking. Summarize your results. Store number Daily sales: Pre-sales campaign Daily sales: Post-sales campaign 1 $10,000 $7,000 2 $9,000 $7,500 3 $8,500 $8,000 4 $8,000 $8,500 5 $9,000 $8,500 6 $10,000 $7,500 7 $9,000 $8,000 8 $8,000 $8,500 9 $8,500 $9,000 10 $9,000 $9,500 11 $11,000 $10,000 12 $10,000 $11,000 13 $8,000 $11,500 14 $7,000 $12,000arrow_forward
- -An experiment is conducted following an RCBD with one replicate per treatment per block, to test the effects of five treatments (for some disease) on five elderly men and five elderly women. In such an experimental situation, the Error df in the ANOVA decomposition is:??? 6) Consider an RCBD with p = 4, n = 4 and 1 replicate per treatment per block. Assume the conditions of application of a procedure of multiple pairwise comparisons of treatment means are satisfied. For sucha purpose, the LSD statistic (alpha = 0.05) is:arrow_forwardAn entomologist writes an article in a scientific journal that claims that fewer than 16 in ten thousand male fireflies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion of fireflies unable to produce light. A) H 0 : p > 0.0016 H 1: p ≤ 0.0016 B) H 0 : p = 0.0016 H 1: p > 0.0016 C) H 0 : p = 0.0016 H 1: p < 0.0016 D) H 0 : p < 0.0016 H 1: p ≥ 0.0016arrow_forwardIn a random sample of 320 cars driven at low altitudes, 50 of them exceeded a standard of 10 grams of particulate pollution per gallon of fuel consumed. In an independent random sample of 135 cars driven at high altitudes, 17 of them exceeded the standard. Can you conclude that the proportion of high-altitude vehicles exceeding the standard is less than the proportion of low-altitude vehicles exceeding the standard? Let p1 denote the proportion of low-altitude vehicles exceeding the standard and p2 denote the proportion of high-altitude vehicles exceeding the standard. Use the =α0.10 level of significance and the P -value method with the TI-84 Plus calculator. please state all steps to the p method clearly!arrow_forward
- Based on information from a previous study, r1 = 38 people out of a random sample of n1 = 104 adult Americans who did not attend college believe in extraterrestrials. However, out of a random sample of n2 = 104 adult Americans who did attend college, r2 = 48 claim that they believe in extraterrestrials. Does this indicate that the proportion of people who attended college and who believe in extraterrestrials is higher than the proportion who did not attend college? Use ? = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: p1 = p2; H1: p1 > p2H0: p1 = p2; H1: p1 < p2 H0: p1 = p2; H1: p1 ≠ p2H0: p1 < p2; H1: p1 = p2 (b) What sampling distribution will you use? What assumptions are you making? The Student's t. The number of trials is sufficiently large.The standard normal. The number of trials is sufficiently large. The Student's t. We assume the population distributions are approximately normal.The standard normal. We assume the…arrow_forwardIn a standard dissolution test for tablets for a particular drug product, the manufacturer must obtain the dissolution rate for a batch of tablets prior to the release of the batch. Suppose that the dissolution test consists of assays for 24 randomly selected individual 25 mg tablets. For each test, the tablet is suspended in an acid bath and then assayed after 30 minutes. The results of the 24 assays are given here. 19.5 19.7 19.7 20.4 19.2 19.5 19.9 19.2 20.1 19.8 20.4 19.8 19.3 19.7 19.5 20.6 20.4 19.9 19.6 20.8 19.6 19.5 20.0 19.8 a) Estimate the mean dissolution rate for the batch of tablets, for both a point estimate and a 99% confidence interval. b) Is there significant evidence that the batch of pills has a mean dissolution rate of less than 20 mg (80% of the labeled amount in the tablets)?arrow_forwardSuppose that we want to compare the cholestrol contents of four competing diet foods on the basis of the following data (in milligrams per package) which were obtained for three 6-ounce packages of each of the diet foods: Diet food A: 3.6 4.1 4.0 Diet food B: 3.1 3.2 3.9 Diet food C: 3.2 3.5 3.5 Diet food D: 3.5 3.8 3.8 a)Fill in the blanks below. b)Test at the 0.05 level of significance whether the differences among means obtained for the four competing diet foods (Diet A, B, C, D) are significant? (Ftable=4.07) ONE-WAY ANOVA TABLE Source of Variation Degrees of Freedom Sum of Squares Mean Square F Treatments ? 0.54 ? ? Error ? ? ? Total ? 1.18arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
MATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. WallnauPublisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSON
The Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. Freeman
Introduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. Freeman
MATLAB: An Introduction with Applications
Statistics
ISBN:9781119256830
Author:Amos Gilat
Publisher:John Wiley & Sons Inc
Probability and Statistics for Engineering and th...
Statistics
ISBN:9781305251809
Author:Jay L. Devore
Publisher:Cengage Learning
Statistics for The Behavioral Sciences (MindTap C...
Statistics
ISBN:9781305504912
Author:Frederick J Gravetter, Larry B. Wallnau
Publisher:Cengage Learning
Elementary Statistics: Picturing the World (7th E...
Statistics
ISBN:9780134683416
Author:Ron Larson, Betsy Farber
Publisher:PEARSON
The Basic Practice of Statistics
Statistics
ISBN:9781319042578
Author:David S. Moore, William I. Notz, Michael A. Fligner
Publisher:W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:9781319013387
Author:David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:W. H. Freeman
Mod-01 Lec-01 Discrete probability distributions (Part 1); Author: nptelhrd;https://www.youtube.com/watch?v=6x1pL9Yov1k;License: Standard YouTube License, CC-BY
Discrete Probability Distributions; Author: Learn Something;https://www.youtube.com/watch?v=m9U4UelWLFs;License: Standard YouTube License, CC-BY
Probability Distribution Functions (PMF, PDF, CDF); Author: zedstatistics;https://www.youtube.com/watch?v=YXLVjCKVP7U;License: Standard YouTube License, CC-BY
Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License