Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Chapter 16, Problem 26CE
Instructions: In all exercises, you may use a computer package (e.g., MegaStat, Minitab) or show Excel calculations in a worksheet, depending on your instructor’s wishes. Include relevant output or screen shots to support your answers. If you do the calculations yourself, show your work. State the hypotheses and give the test statistic and its two-tailed p-value. Make the decision. If the decision is close, say so. Arc there issues of
Below are grade point averages for 25 randomly chosen university business students during a recent semester. Research question: At α = .01, are the
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Reconsider the patient satisfaction data in Table 1. Fit a multiple regression model using both patient age and
severity as the regressors.
(a) Test for significance of regression.
(b) Test for the individual contribution of the two regressors. Are both regressor variables needed in the model?
(c) Has adding severity to the model improved the quality of the model fit? Explain your answer.
The output voltage of a power supply is assumed to be normally distributed. Sixteen observations taken at
random on voltage are as follows: 10.35, 9.30, 10.00, 9.96, 11.65, 12.00, 11.25, 9.58, 11.54, 9.95, 10.28, 8.37,
10.44, 9.25, 9.38, and 10.85.
(a) Test the hypothesis that the mean voltage equals 12 V against a two-sided alternative using a = 0.05.
(b) Construct a 95% two-sided confidence interval on μ.
(c) Test the hypothesis that σ² = 11 using α = 0.05.
(d) Construct a 95% two-sided confidence interval on σ.
(e) Construct a 95% upper confidence interval on σ.
(f) Does the assumption of normality seem reasonable for the output voltage?
Analyze the residuals from the regression model on the patient satisfaction data from Exercise 3. Comment on
the adequacy of the regression model.
Chapter 16 Solutions
Applied Statistics in Business and Economics
Ch. 16.2 - Prob. 1SECh. 16.2 - Prob. 2SECh. 16.2 - Prob. 3SECh. 16.2 - Prob. 4SECh. 16.3 - A sample of 28 student scores on the chemistry...Ch. 16.3 - Prob. 6SECh. 16.4 - Prob. 7SECh. 16.4 - Prob. 8SECh. 16.5 - Prob. 9SECh. 16.5 - The results shown below are mean productivity...
Ch. 16.6 - Consumers are asked to rate the attractiveness of...Ch. 16.6 - Prob. 12SECh. 16.7 - Prob. 13SECh. 16.7 - Prob. 14SECh. 16 - Prob. 1CRCh. 16 - Prob. 2CRCh. 16 - Prob. 3CRCh. 16 - Prob. 4CRCh. 16 - Prob. 5CRCh. 16 - Prob. 6CRCh. 16 - Prob. 7CRCh. 16 - Prob. 8CRCh. 16 - Prob. 9CRCh. 16 - Prob. 10CRCh. 16 - (a) Why is a significant correlation not proof of...Ch. 16 - Prob. 15CECh. 16 - Prob. 16CECh. 16 - Prob. 17CECh. 16 - Prob. 18CECh. 16 - Prob. 19CECh. 16 - Instructions: In all exercises, you may use a...Ch. 16 - Prob. 21CECh. 16 - Prob. 22CECh. 16 - Prob. 23CECh. 16 - Prob. 24CECh. 16 - Prob. 25CECh. 16 - Instructions: In all exercises, you may use a...Ch. 16 - Prob. 27CECh. 16 - Instructions: In all exercises, you may use a...Ch. 16 - Prob. 29CECh. 16 - Prob. 30CECh. 16 - Prob. 31CECh. 16 - Prob. 32CECh. 16 - Prob. 33CECh. 16 - Prob. 34CECh. 16 - Instructions: In all exercises, you may use a...Ch. 16 - Prob. 36CECh. 16 - Prob. 37CE
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- 14 A survey is conducted to determine whether would prefer to work at home, if given the 20 office employees of a certain company chance. The overall results are shown in the first bar graph, and the results broken down by gender are presented in the second. a. Interpret the results of each graph. b. Discuss the added value in including gen- der in the second bar graph. (The second bar graph in this problem is called a side by side bar graph and is often used to show results broken down by two or more variables.) c. Compare the side by side bar graph with the two pie charts that you made for Question 6. Which of the two methods is best for comparing two groups, in your opinion? A Would you prefer to work at home? (n=20) 60 50 40 Percent 20 30 20 30 10 0 No Yes Prefer to work at home? (10 males, 10 females) 80 Percent 60 00 40 40 20- No Yes No Yes Female Malearrow_forwardFrequency 12 Suppose that a random sample of 270 gradu- ating seniors are asked what their immediate priorities are, including whether buying a house is a priority. The results are shown in the following bar graph. a. The bar graph is misleading; explain why. b. Make a new bar graph that more fairly presents the results. Is Buying a House a Priority? 300 250 200 150 100 50 0 Yes No Undecidedarrow_forwardFrequency 11 A polling organization wants to find out what voters think of Issue X. It chooses a random sample of voters and asks them for their opinions of Issue X: yes, no, or no opinion. I organize the results in the following bar graph. a. Make a frequency table of these results (including the total number). brocb. Evaluate the bar graph as to whether it biz s b fairly represents the results. of beau no STORE TO OW! vd wob spind 550 540 500 vd 480 420 360 300 250 240 Yes No Undecided Opinion on Issue Xarrow_forward
- Percent 13 A car dealer specializing in minivan sales saibe conducts a survey to find out more about who its customers are. One of the variables at the company measures is gender; the results of this part of the survey are shown in the following bar graph. pow a. Interpret these results. b. Explain whether you think the bar graph is a fair and accurate representation of this data. 70 Gender of Customers 60 50 40 30 20 10 0 Males Femalesarrow_forwardThree cat- ency bar 10 Suppose that a health club asks 30 customers ad to rate the services as very good (1), good (2), fair (3), or poor (4). You can see the results in the following bar graph. What percentage of the customers rated the services as good? n; 2: pinion). of this to make a eople in ng ban?) Health Club Customer Ratings (1-very good,..., 4-poor) Frequency 10 8 00 6 11 A polling orga what voters t random samp for their opin no opinion. following ba a. Make a (includ bob. Evalua fairly tral 2 0 1 -2 3 4 540 480 420 360 300 240 Frequencyarrow_forward1 - Multiple Regression Equations and Predictions with XLMiner Analysis ToolPak (Structured) Video The owner of Showtime Movie Theaters, Inc., would like to predict weekly gross revenue as a function of advertising expenditures. Historical data for a sample of eight weeks are entered into the Microsoft Excel Online file below. Use the XLMiner Analysis ToolPak to perform your regression analysis in the designated areas of the spreadsheet. Due to a recent change by Microsoft you will need to open the XLMiner Analysis ToolPak add-in manually from the home ribbon. Screenshot of ToolPak X Open spreadsheet a. Develop an estimated regression equation with the amount of television advertising as the independent variable (to 2 decimals). JAN 27 Revenue = × TVAdv + b. Develop an estimated regression equation with both television advertising and newspaper advertising as the independent variables (to 2 decimals). Revenue = + TVAdy + NewsAdv c. Is the estimated regression equation coefficient for…arrow_forward
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