Concept explainers
Wayne Gretzky was one of ice hockey’s most prolific scorers when he played for the Edmonton Oilers. During his last season with the Oilers, Gretzky played in 41 games and missed 17 games due to injury. The article “The Great Gretzky” (Chance [1991]: 16–21) looked at the number of goals scored by the Oilers in games with and without Gretzky, as shown in the accompanying table. If we view the 41 games with Gretzky as a random sample of all Oiler games in which Gretzky played and the 17 games without Gretzky as a random sample of all Oiler games in which Gretzky did not play, is there evidence that the mean number of goals scored by the Oilers is greater for games in which Gretzky played? Use α = 0.01.
Trending nowThis is a popular solution!
Chapter 11 Solutions
Introduction to Statistics and Data Analysis
- During one shift, the express lane clerk recorded how many times customers violated the "10 items or less" rule for his lane. In particular, he recorded how many items over the limit each violator placed on the conveyor belt. This data is summarized in the histogram below. NOTE: The last class actually represents "7 or more items," not just 7 items. 14+ 12 10 8- 6- 2 0.5 1.5 2.5 3.5 4.5 5.5 6.5 7.5 # items over 10 What is the frequency of times the limit was exceeded by at least 2 items? ans = Frequencyarrow_forwardThe data are the number of machines in a gym. You sample five gyms. One gym has 12 machines, one gym has 15 machines, one gym has 10 machines, one gym has 22 machines, and the other gym has 20 machines. What type of data is this?arrow_forwardIs it possible to predict the annual number of business bankruptcies by the number of firm births (business starts) in the United States? The following data published by the U.S. Small Business Administration, Office of Advocacy, are pairs of the number of business bankruptcies (1,000s) and the number of firm births (10,000s) for a six-year period. Business Bankruptcies (1,000) 34.3 Firm Births (10,000) 58.1 35.0 55.4 38.5 57.0 40.1 58.5 35.5 57.4 37.9 58.0 i) Based on the output given, use these data to develop the equation of the regression model to predict the number of business bankruptcies by the number of firm births. ii) Explain the values of r and r. iii) Predict the number of business bankruptcies if the number of firm births is 54.0 (10,000s). iv) Do the data support the existence of a linear relationship between the number of firm births and the number of business bankruptcies? Test using a = 0.05. OUTPUT Model Summary Std. Error of the Estimate Adusted R Model R R Square…arrow_forward
- A magazine published a study on the ammonia levels near the exit ramp of a highway tunnel. The data in the table below represent daily ammonia concentrations (in parts per million) on eight randomly selected days during the afternoon drive time. Complete parts a through c.arrow_forwardDuring one shift, the express lane clerk recorded how many times customers violated the "10 items or less" rule for his lane. In particular, he recorded how many items over the limit each violator placed on the conveyor belt. This data is summarized in the histogram below. NOTE: The last class actually represents "7 or more items," not just 7 items. 14+ 12 10- 8- 6 4 0.5 15 2.5 3.5 4.5 5.5 6.5 7.5 # items over 10 What is the frequency of times the limit was exceeded by more than 6 items? ans = Frequencyarrow_forwardplease answer a, b, and c.arrow_forward
- In a recent survey, ice cream truck drivers in Cincinnati, Ohio, reported that they make about $280 in income on a typical summer day. The income was generally higher on days with longer work hours, particularly hot days, and on holidays. The accompanying data file includes five weeks of the driver's daily income (Income), number of hours on the road (Hours), whether it was a particularly hot day (Hot - 1 if the high temperature was above 85°F, 0 otherwise), and whether it was a Holiday (Holiday = 1,0 otherwise). Click here for the Excel Data File a-1. Estimate the effect of Hours, Hot, and Holidays on Income. Report the regression coefficients and their significance at the 5% level. Note: Negative values should be indicated by a minus sign. Round your answers to 2 decimal places. Predictor Variable Constant Hours Hot Holidays Coefficient Significance at 5% Not significant Significant Significant Significantarrow_forwardThe technology committee has stated that the average time spent by students per lab visit has increased, and the increase supports the need for increased lab fees. To substantiate this claim, the committee randomly samples 12 student lab visits and notes the amount of time spent using the computer. The times in minutes are shown in the table to the right. Complete parts a and b. Time 74 134 53 10 71 51 70 60 62 52 68 54 140 70 140 70 140 Time spent in lab Time spent in lab Time spent in lab Are any of the observations outliers? Explain. O A. The histogram shows that there are no outliers. The conditions for inference are satisfied. O B. The histogram shows that there is one extreme outlier. Since the sample size is large enough, the conditions for inference are okay. O c. The histogram shows two extreme outliers. With these values included, the conditions for inference are violated. b) The previous mean amount of time spent using the lab computer was 54 minutes. Find a 90% confidence…arrow_forwardA popular summer event is Skee-Ball. For $2, a customer purchases three balls and attempts to roll each ball into a central target. The customer wins their $2 back and wins an additional $1 if they hit the target once, an additional $3 if they hit the target twice and an additional $5 if they hit the target three times. If the customer does not hit the target at all, they lose their initial $2. Access the data set labeled ”Skee-Ball” which reports the outcomes of 2,500 games for a single day’s operation of a Skee-Ball booth. (a) Define a random variable C (Customer Score) equal to the number of times a customer hits the target in each set of three rolls. How many possible outcomes of C are there? Report your answer as an integer. (b) Report the net profit ($) that the Skee-Ball booth achieved for the day. Report your answer as an integer. Hint: Estimate the PDF of C based on the relative frequencies: P(C = c) = Frequency of C = c / 2,500 (c) Report P(C = 0). Round your answer to three…arrow_forward
- Office-chair racing is now an official sport in Japan. Teams of 3 race around a 200-meter circuit for 2 hours to see who can complete the most laps. Tonya, an office-chair racing coach, contacts the top 5 teams and randomly assigns them to complete a practice race using one of two popular brands of office chair: Brand A and Brand B. In a different time period, the same teams complete a practice race using the opposite brand of chair. Here are the data: A 2-column table with 5 rows. Column 1 is labeled Brand A with entries 116, 107, 101, 97, 94. Column 2 is labeled Brand B with entries 114, 102, 100, 94, 90. Calculate the mean difference (Brand A – Brand B) and the standard deviation of the differences.arrow_forwardTrying to determine the number of students to accept is a tricky task for universities. The Admissions staff at a small private college wants to use data from the past few years to predict the number of students enrolling in the university from those who are accepted by the university. The data are provided in the following table. R F eTextbook and Media Save for Late O % 5 T O >> G H (9) 2 Number Accepted Number Enrolled Find the correlation between the number of students accepted and enrolled. Use two decimal places in your answer. & 2,440 2,800 2,720 2,360 2,660 2,620 8 6 611 K 708 637 584 614 625 ( 9 L Attempts: 0 of 1 used ) 0 P Submit Answer 56°F Cl Backspaarrow_forwardYou may need to use the appropriate technology to answer this question. A travel association reported the domestic airfare (in dollars) for business travel for the current year and the previous year. Below is a sample of 12 flights with their domestic airfares shown for both years. CurrentYear PreviousYear 345 315 526 451 420 474 216 206 285 275 405 432 635 585 710 650 605 545 517 547 570 496 610 580 (a) Formulate the hypotheses and test for a significant increase in the mean domestic airfare for business travel for the one-year period. H0: ?d = 0 Ha: ?d ≠ 0 H0: ?d < 0 Ha: ?d = 0 H0: ?d ≥ 0 Ha: ?d < 0 H0: ?d ≤ 0 Ha: ?d > 0 H0: ?d ≠ 0 Ha: ?d = 0 Calculate the test statistic. (Use current year airfare − previous year airfare. Round your answer to three decimal places.) Calculate the p-value. (Round your answer to four decimal places.) p-value = Using a 0.05 level of significance, what is your conclusion? Reject H0. We can conclude that…arrow_forward
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
- College Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningMathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,