Statistics
13th Edition
ISBN: 9780135820100
Author: MCCLAVE, James T., Sincich, Terry
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Question
Chapter 6, Problem 66UP
To determine
Explain how to obtain the simulated sampling distribution of a sample statistic.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A marketing professor has surveyed the students at her university to better understand attitudes towards PPT usage for higher education. To be able to make inferences to the entire student body, the sample drawn needs to represent the university’s student population on all key characteristics. The table below shows the five key student demographic variables. The professor found the breakdown of the overall student body in the university’s fact book posted online.
A non-parametric chi-square test was used to test the sample demographics against the population percentages shown in the table above. Review the output for the five chi-square tests on the following pages and answer the five questions:
Based on the chi-square test, which sample variables adequately represent the university’s student population and which ones do not? Support your answer by providing the p-value of the chi-square test and explaining what it means.
Using the results from Question 1, make recommendation for…
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…
What were the average sales for the four weeks prior to the experiment?
What were the sales during the four weeks when the stores used the digital display?
What is the mean difference in sales between the experimental and regular POP time periods?
State the null hypothesis being tested by the paired sample t-test.
Do you reject or retain the null hypothesis?
At a 95% significance level, was the difference significant? Explain why or why not using the results from the paired sample t-test.
Should the manager of the retail chain install new digital displays in each store? Justify your answer.
Chapter 6 Solutions
Statistics
Ch. 6.1 - What is the difference between a population...Ch. 6.1 - What is a sampling distribution of a sample...Ch. 6.1 - 5.1 The probability distribution shown here...Ch. 6.1 - 5.3 Consider the population described by the...Ch. 6.1 - Refer to Exercise 6.5 and find E(x) = μ. Then use...Ch. 6.1 - Refer to Exercise 6.5. Assume that a random sample...Ch. 6.1 - In Example 6.3, we used the computer to generate...Ch. 6.2 - What is a point estimator of a population...Ch. 6.2 - What is the difference between a biased and...Ch. 6.2 - What is the MVUE for a parameter?
Ch. 6.2 - What are the properties of an ideal estimator?
Ch. 6.2 - 5.8 Consider the following probability...Ch. 6.2 - 5.9 Consider the following probability...Ch. 6.2 - 5.10 Consider the following probability...Ch. 6.2 - Refer to Exercise 6.5.
Show that is an unbiased...Ch. 6.2 - Refer to Exercise 6.5.
Find the sampling...Ch. 6.2 - Refer to Exercise 6.7, in which we found the...Ch. 6.3 - Prob. 21UPCh. 6.3 - How does the mean of the sampling distribution of...Ch. 6.3 - How does the standard deviation of the sampling...Ch. 6.3 - Another name given to the standard deviation of x̄...Ch. 6.3 - State the Central Limit Theorem.
Ch. 6.3 - Will the sampling distribution of x̄ always be...Ch. 6.3 - Suppose a random sample of n measurements is...Ch. 6.3 - Suppose a random sample of n = 25 measurements is...Ch. 6.3 - Consider the following probability...Ch. 6.3 - A random sample of n = 64 observations is drawn...Ch. 6.3 - A random sample of n = 100 observations is...Ch. 6.3 - 5.20 A random sample of n = 900 observations is...Ch. 6.3 - Open the applet Sampling Distributions. On the...Ch. 6.3 - Open the applet Sampling Distributions. On the...Ch. 6.3 - Corporate sustainability of CPA firms. Refer to...Ch. 6.3 - Voltage sags and swells. Refer to the Electrical...Ch. 6.3 - Physical activity of obese young adults. In a...Ch. 6.3 - Cost of unleaded fuel. According to the American...Ch. 6.3 - Requests to a Web server. In Exercise 5.10 (p....Ch. 6.3 - Shell lengths of sea turtles. Refer to the Aquatic...Ch. 6.3 - Tomato as a taste modifier. Miraculin is a protein...Ch. 6.3 - Uranium in the Earth’s crust. Refer to the...Ch. 6.3 - Critical part failures in NASCAR vehicles. Refer...Ch. 6.3 - Motivation of drug dealers. Refer to the Applied...Ch. 6.3 - Is exposure to a chemical in Teflon-coated...Ch. 6.3 - Characteristics of antiwar demonstrators. Refer to...Ch. 6.3 - Hand washing versus hand rubbing. Refer to the...Ch. 6.3 - Video game players and divided attention tasks....Ch. 6.4 - Suppose a random sample of n measurements is...Ch. 6.4 - Suppose a random sample of n = 500 measurements is...Ch. 6.4 - 5.38 A random sample of n = 80 measurements is...Ch. 6.4 - 5.39 A random sample of n = 250 measurements is...Ch. 6.4 - A random sample of n = 1,500 measurements is drawn...Ch. 6.4 - 5.41 Consider a population with values of x equal...Ch. 6.4 - Do social robots walk or roll? Refer to the...Ch. 6.4 - Paying for music downloads. According to a recent...Ch. 6.4 - Working on summer vacation. According to an...Ch. 6.4 - Superstitions survey. A Harris (Feb. 2013) poll...Ch. 6.4 - Crop damage by wild boars. Refer to the Current...Ch. 6.4 - Downloading “apps” to your cell phone. Refer to...Ch. 6.4 - Hotel guest satisfaction. Refer to the results of...Ch. 6.4 - Fingerprint expertise. Refer to the Psychological...Ch. 6 - Prob. 63UPCh. 6 - Prob. 64UPCh. 6 - Prob. 65UPCh. 6 - Prob. 66UPCh. 6 - Prob. 67UPCh. 6 - Prob. 68LMCh. 6 - Prob. 69LMCh. 6 - Prob. 70LMCh. 6 - Prob. 71LMCh. 6 - 5.56 A random sample of n = 500 observations is...Ch. 6 - 5.57 A random sample of n = 300 observations is...Ch. 6 - 5.58 Use a statistical software package to...Ch. 6 - 5.59 Use a statistical software package to...Ch. 6 - Suppose x equals the number of heads observed when...Ch. 6 - A random sample of size n is to be drawn from a...Ch. 6 - Salaries of travel managers. According to a 2012...Ch. 6 - Children’s attitudes toward reading. In the...Ch. 6 - Dentists’ use of laughing gas. According to the...Ch. 6 - Marital name changing. Refer to the Advances in...Ch. 6 - Violence and stress. Interpersonal violence (e.g.,...Ch. 6 - Research on eating disorders. Refer to The...Ch. 6 - Prob. 84ACICh. 6 - Prob. 85ACICh. 6 - Prob. 86ACICh. 6 - Prob. 87ACICh. 6 - Prob. 88ACICh. 6 - Prob. 89ACICh. 6 - Prob. 90ACACh. 6 - Prob. 91ACACh. 6 - 5.76 Soft-drink bottles. A soft-drink bottler...
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
- 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…arrow_forwardQuestion 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…arrow_forward- + ++ 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…arrow_forward
- 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
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
Statistics 4.1 Point Estimators; Author: Dr. Jack L. Jackson II;https://www.youtube.com/watch?v=2MrI0J8XCEE;License: Standard YouTube License, CC-BY
Statistics 101: Point Estimators; Author: Brandon Foltz;https://www.youtube.com/watch?v=4v41z3HwLaM;License: Standard YouTube License, CC-BY
Central limit theorem; Author: 365 Data Science;https://www.youtube.com/watch?v=b5xQmk9veZ4;License: Standard YouTube License, CC-BY
Point Estimate Definition & Example; Author: Prof. Essa;https://www.youtube.com/watch?v=OTVwtvQmSn0;License: Standard Youtube License
Point Estimation; Author: Vamsidhar Ambatipudi;https://www.youtube.com/watch?v=flqhlM2bZWc;License: Standard Youtube License