Understanding Basic Statistics
8th Edition
ISBN: 9781337672320
Author: BRASE
Publisher: Cengage
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 6.2, Problem 8P
Critical Thinking In a carnival game, there are six identical boxes, one of which contains a prize. A contestant wins the prize by selecting the box containing it. Before each game, the old prize is removed and another prize is placed at random in one of the six boxes. Is it appropriate to use the binomial
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A retail chain is interested in determining whether a digital video point-of-purchase (POP) display would stimulate higher sales for a brand advertised compared to the standard cardboard point-of-purchase display. To test this, a one-shot static group design experiment was conducted over a four-week period in 100 different stores. Fifty stores were randomly assigned to the control treatment (standard display) and the other 50 stores were randomly assigned to the experimental treatment (digital display). Compare the sales of the control group (standard POP) to the experimental group (digital POP).
What were the average sales for the standard POP display (control group)?
What were the sales for the digital display (experimental group)?
What is the (mean) difference in sales between the experimental group and control group?
List the null hypothesis being tested.
Do you reject or retain the null hypothesis based on the results of the independent t-test?
Was the difference between the…
Question 4
An article in Quality Progress (May 2011, pp. 42-48) describes the use of factorial experiments to improve a
silver powder production process. This product is used in conductive pastes to manufacture a wide variety of
products ranging from silicon wafers to elastic membrane switches. Powder density (g/cm²) and surface area
(cm/g) are the two critical characteristics of this product. The experiments involved three factors: reaction
temperature, ammonium percentage, stirring rate. Each of these factors had two levels, and the design was
replicated twice. The design is shown in Table 3.
A222222222222233
Stir Rate
(RPM)
Ammonium
(%)
Table 3: Silver Powder Experiment from Exercise 13.23
Temperature
(°C)
Density
Surface Area
100
8
14.68
0.40
100
8
15.18
0.43
30
100
8
15.12
0.42
30
100
17.48
0.41
150
7.54
0.69
150
8
6.66
0.67
30
150
8
12.46
0.52
30
150
8
12.62
0.36
100
40
10.95
0.58
100
40
17.68
0.43
30
100
40
12.65
0.57
30
100
40
15.96
0.54
150
40
8.03
0.68
150
40
8.84
0.75
30
150…
-
+
++
Table 2: Crack Experiment for Exercise 2
A B C D Treatment Combination
(1)
Replicate
I II
7.037
6.376
14.707 15.219
|++++ 1
བྱ॰༤༠སྦྱོ སྦྱོཋཏྟཱུ
a
b
ab
11.635 12.089
17.273 17.815
с
ас
10.403 10.151
4.368 4.098
bc
abc
9.360 9.253
13.440 12.923
d
8.561 8.951
ad
16.867 17.052
bd
13.876 13.658
abd
19.824 19.639
cd
11.846 12.337
acd
6.125
5.904
bcd
11.190 10.935
abcd
15.653 15.053
Question 3
Continuation of Exercise 2. One of the variables in the experiment described in Exercise 2, heat treatment
method (C), is a categorical variable. Assume that the remaining factors are continuous.
(a) Write two regression models for predicting crack length, one for each level of the heat treatment method
variable. What differences, if any, do you notice in these two equations?
(b) Generate appropriate response surface contour plots for the two regression models in part (a).
(c) What set of conditions would you recommend for the factors A, B, and D if you use heat treatment method
C = +?
(d) Repeat…
Chapter 6 Solutions
Understanding Basic Statistics
Ch. 6.1 - Statistical Literacy Which of the following are...Ch. 6.1 - Statistical Literacy Which of the following are...Ch. 6.1 - Statistical Literacy Consider each distribution....Ch. 6.1 - Statistical Literacy At State College all classes...Ch. 6.1 - Statistical Literacy Consider two discrete...Ch. 6.1 - Statistical Literacy Consider the probability...Ch. 6.1 - Basic Computation: Expected Value and Standard...Ch. 6.1 - Basic Computation: Expected Value For a...Ch. 6.1 - Critical Thinking: Simulation We can use the...Ch. 6.1 - Marketing: Age What is the age distribution of...
Ch. 6.1 - Marketing: Income What is the income distribution...Ch. 6.1 - History: Florence Nightingale What was the age...Ch. 6.1 - Fishing: Trout The following data are based on...Ch. 6.1 - Criminal Justice: Parole USA Today reported that...Ch. 6.1 - Fundraiser: Hiking Club The college hiking club is...Ch. 6.1 - Spring Break: Caribbean Cruise The college student...Ch. 6.1 - Expected Value: Life Insurance Jim is a...Ch. 6.1 - Expected Value: Life Insurance Sara is a...Ch. 6.1 - Expand Your Knowledge: Linear Functions and...Ch. 6.1 - Expand Your Knowledge: Linear Functions and...Ch. 6.1 - Expand Your Knowledge: Linear Functions and...Ch. 6.2 - Statistical Literacy What does the random variable...Ch. 6.2 - Statistical Literacy What does it mean to say that...Ch. 6.2 - Statistical Literacy For a binomial experiment,...Ch. 6.2 - Statistical Literacy In a binomial experiment, is...Ch. 6.2 - Interpretation Suppose you are a hospital manager...Ch. 6.2 - Interpretation From long experience a landlord...Ch. 6.2 - Critical Thinking In an experiment, there are n...Ch. 6.2 - Critical Thinking In a carnival game, there are...Ch. 6.2 - Critical Thinking According to the college...Ch. 6.2 - Critical Thinking: Simulation Central Eye Clinic...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - In each of the following problems, the binomial...Ch. 6.2 - Psychology: Deceit Aldrich Ames is a convicted...Ch. 6.2 - Hardware Store: Income Trevor is interested in...Ch. 6.2 - Psychology: Myers-Briggs Approximately 75% of all...Ch. 6.2 - Business Ethics: Privacy Are your finances, buying...Ch. 6.2 - Business Ethics: Privacy According to the same...Ch. 6.2 - Health Care: Office Visits What is the age...Ch. 6.2 - Binomial Distribution Table: Symmetry Study the...Ch. 6.3 - Statistical Literacy What does the expected value...Ch. 6.3 - Statistical Literacy Consider two binomial...Ch. 6.3 - Basic Computation: Expected Value and Standard...Ch. 6.3 - Basic Computation: Expected Value and Standard...Ch. 6.3 - Critical Thinking Consider a binomial distribution...Ch. 6.3 - Criticai Thinking Consider a binomial distribution...Ch. 6.3 - Binomial Distribution: Histograms Consider a...Ch. 6.3 - Binomial Distributions: Histograms Figure 6-6...Ch. 6.3 - Critical Thinking Consider a binomial distribution...Ch. 6.3 - Critical Thinking Consider a binomial distribution...Ch. 6.3 - Sports: Surfing In Hawaii, January is a favorite...Ch. 6.3 - Quality Control: Syringes The quality-control...Ch. 6.3 - Private Investigation: Locating People Old Friends...Ch. 6.3 - Ecology: Hawaiian Tsunamis A tidal wave or tsunami...Ch. 6.3 - Education: Illiteracy USA Today reported that...Ch. 6.3 - Rude Drivers: Tailgating Do you tailgate the car...Ch. 6.3 - Criminal Justice: ParoleUSA Today reports that...Ch. 6.3 - Criminal Justice: Jury Duty Have you ever tried to...Ch. 6.3 - Law Enforcement: Property Crime Does crime pay ?...Ch. 6.3 - Focus Problem: Personality Types We now have the...Ch. 6.3 - Criminal Justice: Convictions Innocent until...Ch. 6.3 - Critical Thinking Let r be a binomial random...Ch. 6.3 - Expand Your Knowledge: Geometric Probability...Ch. 6.3 - Expand Your Knowledge: Geometric Distribution;...Ch. 6.3 - Expand Your Knowledge: Geometric Distribution;...Ch. 6 - Terminology Consider the data set consisting of...Ch. 6 - Terminology Consider the data set consisting of...Ch. 6 - Terminology Which quantity is give by the expected...Ch. 6 - Terminology Consider the following statements...Ch. 6 - Statistical Literacy What are the requirements for...Ch. 6 - Statistical Literacy List the criteria for a...Ch. 6 - Critical Thinking For a binomial probability...Ch. 6 - Critical Thinking Consider a binomial experiment....Ch. 6 - Probability Distribution: Auto Leases Consumer...Ch. 6 - Ecology: Predator and Prey Isle Royale. an island...Ch. 6 - Insurance: Auto State Farm Insurance studies show...Ch. 6 - Quality Control: Pens A stationery store has...Ch. 6 - Criminal Justice: Inmates According to Harper's...Ch. 6 - Airlines: On-Time ArrivalsConsumer Reports rated...Ch. 6 - Ecology: Shark Attacks In Hawaii shark attacks are...Ch. 6 - Restaurants: Reservations The Orchard Caf has...Ch. 6 - College Lire: Student Government The student...Ch. 6 - Although tables of binomial probabilities can be...Ch. 6 - Prob. 2UTACh. 6 - Although tables of binomial probabilities can be...Ch. 6 - Prob. 4UTACh. 6 - Although tables of binomial probabilities can be...Ch. 6 - Although tables of binomial probabilities can be...Ch. 6 - Prob. 7UTACh. 6 - The Hill of Tara is located in south-central...Ch. 6 - Prob. 2CRPCh. 6 - Prob. 3CRPCh. 6 - The Hill of Tara is located in south-central...Ch. 6 - The Hill of Tara is located in south-central...Ch. 6 - The Hill of Tara is located in south-central...Ch. 6 - The Hill of Tara is located in south-central...
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
- Question 2 A nickel-titanium alloy is used to make components for jet turbine aircraft engines. Cracking is a potentially serious problem in the final part because it can lead to nonrecoverable failure. A test is run at the parts producer to determine the effect of four factors on cracks. The four factors are: pouring temperature (A), titanium content (B), heat treatment method (C), amount of grain refiner used (D). Two replicates of a 24 design are run, and the length of crack (in mm x10-2) induced in a sample coupon subjected to a standard test is measured. The data are shown in Table 2. 1 (a) Estimate the factor effects. Which factor effects appear to be large? (b) Conduct an analysis of variance. Do any of the factors affect cracking? Use a = 0.05. (c) Write down a regression model that can be used to predict crack length as a function of the significant main effects and interactions you have identified in part (b). (d) Analyze the residuals from this experiment. (e) Is there an…arrow_forwardA 24-1 design has been used to investigate the effect of four factors on the resistivity of a silicon wafer. The data from this experiment are shown in Table 4. Table 4: Resistivity Experiment for Exercise 5 Run A B с D Resistivity 1 23 2 3 4 5 6 7 8 9 10 11 12 I+I+I+I+Oooo 0 0 ||++TI++o000 33.2 4.6 31.2 9.6 40.6 162.4 39.4 158.6 63.4 62.6 58.7 0 0 60.9 3 (a) Estimate the factor effects. Plot the effect estimates on a normal probability scale. (b) Identify a tentative model for this process. Fit the model and test for curvature. (c) Plot the residuals from the model in part (b) versus the predicted resistivity. Is there any indication on this plot of model inadequacy? (d) Construct a normal probability plot of the residuals. Is there any reason to doubt the validity of the normality assumption?arrow_forwardStem1: 1,4 Stem 2: 2,4,8 Stem3: 2,4 Stem4: 0,1,6,8 Stem5: 0,1,2,3,9 Stem 6: 2,2 What’s the Min,Q1, Med,Q3,Max?arrow_forward
- Are the t-statistics here greater than 1.96? What do you conclude? colgPA= 1.39+0.412 hsGPA (.33) (0.094) Find the P valuearrow_forwardA poll before the elections showed that in a given sample 79% of people vote for candidate C. How many people should be interviewed so that the pollsters can be 99% sure that from 75% to 83% of the population will vote for candidate C? Round your answer to the whole number.arrow_forwardSuppose a random sample of 459 married couples found that 307 had two or more personality preferences in common. In another random sample of 471 married couples, it was found that only 31 had no preferences in common. Let p1 be the population proportion of all married couples who have two or more personality preferences in common. Let p2 be the population proportion of all married couples who have no personality preferences in common. Find a95% confidence interval for . Round your answer to three decimal places.arrow_forward
- A history teacher interviewed a random sample of 80 students about their preferences in learning activities outside of school and whether they are considering watching a historical movie at the cinema. 69 answered that they would like to go to the cinema. Let p represent the proportion of students who want to watch a historical movie. Determine the maximal margin of error. Use α = 0.05. Round your answer to three decimal places. arrow_forwardA random sample of medical files is used to estimate the proportion p of all people who have blood type B. If you have no preliminary estimate for p, how many medical files should you include in a random sample in order to be 99% sure that the point estimate will be within a distance of 0.07 from p? Round your answer to the next higher whole number.arrow_forwardA clinical study is designed to assess the average length of hospital stay of patients who underwent surgery. A preliminary study of a random sample of 70 surgery patients’ records showed that the standard deviation of the lengths of stay of all surgery patients is 7.5 days. How large should a sample to estimate the desired mean to within 1 day at 95% confidence? Round your answer to the whole number.arrow_forward
- A clinical study is designed to assess the average length of hospital stay of patients who underwent surgery. A preliminary study of a random sample of 70 surgery patients’ records showed that the standard deviation of the lengths of stay of all surgery patients is 7.5 days. How large should a sample to estimate the desired mean to within 1 day at 95% confidence? Round your answer to the whole number.arrow_forwardIn the experiment a sample of subjects is drawn of people who have an elbow surgery. Each of the people included in the sample was interviewed about their health status and measurements were taken before and after surgery. Are the measurements before and after the operation independent or dependent samples?arrow_forwardiid 1. The CLT provides an approximate sampling distribution for the arithmetic average Ỹ of a random sample Y₁, . . ., Yn f(y). The parameters of the approximate sampling distribution depend on the mean and variance of the underlying random variables (i.e., the population mean and variance). The approximation can be written to emphasize this, using the expec- tation and variance of one of the random variables in the sample instead of the parameters μ, 02: YNEY, · (1 (EY,, varyi n For the following population distributions f, write the approximate distribution of the sample mean. (a) Exponential with rate ẞ: f(y) = ß exp{−ßy} 1 (b) Chi-square with degrees of freedom: f(y) = ( 4 ) 2 y = exp { — ½/ } г( (c) Poisson with rate λ: P(Y = y) = exp(-\} > y! y²arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
College Algebra (MindTap Course List)
Algebra
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
College Algebra
Algebra
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
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