Introduction to Statistics and Data Analysis
5th Edition
ISBN: 9781305115347
Author: Roxy Peck; Chris Olsen; Jay L. Devore
Publisher: Brooks Cole
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Chapter 4, Problem 70CR
To determine
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Data consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among Children" on total calorie consumption on a particular day are given for a sample of children who did
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Data consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among Children" on total calorie consumption on a particular day are given for a sample of children who did not eat fast food on that day and for a
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(a) Use the given information to estimate the mean calorie intake for children in the United States on a day when no fast food is consumed.
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Chapter 4 Solutions
Introduction to Statistics and Data Analysis
Ch. 4.1 - The Insurance Institute for Highway Safety...Ch. 4.1 - The article Caffeine Content of Drinks...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - Consumer Reports Health...Ch. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Each student in a sample of 20 seniors at a...Ch. 4.1 - Prob. 9ECh. 4.1 - The ministry of Health and Long-Term Care in...
Ch. 4.1 - Houses in California are expensive, especially on...Ch. 4.1 - Consider the following statement: More than 65% of...Ch. 4.1 - A sample consisting of four pieces of luggage was...Ch. 4.1 - Suppose that 10 patients with meningitis received...Ch. 4.1 - A study of the lifetime (in hours) for a certain...Ch. 4.1 - An instructor has graded 19 exam papers submitted...Ch. 4.2 - The following data are costs (in cents) per ounce...Ch. 4.2 - Cost per serving (in cents) for six high-fiber...Ch. 4.2 - Combining the cost-per-serving data for high-fiber...Ch. 4.2 - Prob. 20ECh. 4.2 - The accompanying data are consistent with summary...Ch. 4.2 - The paper referenced in the previous exercise also...Ch. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - The accompanying data on number of minutes used...Ch. 4.2 - Give two sets of five numbers that have the same...Ch. 4.2 - Prob. 27ECh. 4.2 - The U.S. Department of Transportation reported the...Ch. 4.2 - The Ministry of Health and Long-Term Care in...Ch. 4.2 - In 1997, a woman sued a computer keyboard...Ch. 4.2 - The standard deviation alone does not measure...Ch. 4.3 - Based on a large national sample of working...Ch. 4.3 - Prob. 33ECh. 4.3 - Prob. 34ECh. 4.3 - Prob. 35ECh. 4.3 - Fiber content (in grams per serving) and sugar...Ch. 4.3 - Shown here are the number of auto accidents per...Ch. 4.4 - The average playing time of music albums in a...Ch. 4.4 - In a study investigating the effect of car speed...Ch. 4.4 - Prob. 40ECh. 4.4 - Mobile homes are tightly constructed for energy...Ch. 4.4 - Prob. 42ECh. 4.4 - A student took two national aptitude tests. The...Ch. 4.4 - Suppose that your younger sister is applying for...Ch. 4.4 - The report Who Borrows Most? Bachelors Degree...Ch. 4.4 - Prob. 46ECh. 4.4 - Prob. 47ECh. 4.4 - Suppose that your statistics professor returned...Ch. 4.4 - Prob. 49ECh. 4.4 - Suppose that the average reading speed of students...Ch. 4.4 - Prob. 51ECh. 4.4 - The accompanying table gives the mean and standard...Ch. 4.5 - The authors of the paper Delayed Time to...Ch. 4.5 - The paper Portable Social Groups: Willingness to...Ch. 4 - Prob. 55CRCh. 4 - Prob. 56CRCh. 4 - Prob. 57CRCh. 4 - Prob. 58CRCh. 4 - Because some homes have selling prices that are...Ch. 4 - Although bats are not known for their eyesight,...Ch. 4 - Prob. 61CRCh. 4 - Prob. 62CRCh. 4 - Prob. 63CRCh. 4 - Prob. 64CRCh. 4 - Prob. 65CRCh. 4 - Prob. 66CRCh. 4 - Prob. 67CRCh. 4 - Prob. 68CRCh. 4 - Prob. 69CRCh. 4 - Prob. 70CRCh. 4 - Prob. 71CRCh. 4 - Age at diagnosis for each of 20 patients under...Ch. 4 - Suppose that the distribution of scores on an exam...
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- Data consistent with summary quantities in the article "Effects of Fast-Food Consumption on Energy Intake and Diet Quality Among Children" on total calorie consumption on a particular day are given for a sample of children who did not eat fast food on that day and for a sample of children who did eat fast food on that day. Assume that it is reasonable to regard these samples as representative of the population of children in the United States. No Fast Food 2323 1910 1001 1722 1461 2045 2135 1973 1844 1769 1757 1819 1640 1498 2661 Fast Food 2543 1778 954 2348 2454 2287 2546 1215 910 1531 895 2227 1831 1270 2137 (a) Use the given information to estimate the mean calorie intake for children in the United States on a day when no fast food is consumed. (Give the answer to one decimal place.) 1788.4 1x 0 (b) Use the given information to estimate the mean calorie intake for children in the United States on a day when fast food consumed. (Give the answer to one decimal place.) x (c) Use the…arrow_forwardThe table below summarizes a data set that examines the responses of a random sample of college graduates and non-graduates on the topic of oil drilling. Complete a chi-square test for these data to check whether there is a statistically significant difference in responses from college graduates and non-graduates. That is, H0:H0: The opinion of college grads and nongrads is not different on the topic of drilling for oil and natural gas off the coast of California.HA:HA: Opinions regarding the drilling for oil and natural gas off the coast of California has an association with earning a college degree. Compute the expected counts. If necessary, round to the nearest tenth. College graduates Non-graduates Total Support 154 132 286 Oppose 180 126 306 Do not know 104 131 235 Total 438 389 827 College graduates Non-graduates Total Support 286 Oppose 306 Do not know 235 Total 438 389 827 b) Compute the χ2χ2 test statistic. Round to the nearest…arrow_forwardA large manufacturing company producing air conditioner compressor believes the number of units of air conditioner sold is related to atmospheric temperature. An R&D officer conducted a study and gathered the following data: 3. Day Sale Temperature (Fahrenheit) 63 (in thousands) 1.52 1 2 70 1.68 3 73 1.8 4 75 2.05 80 2.36 6. 82 2.25 7 85 2.68 8 88 2.9 9. 90 3.14 3.06 3.24 10 91 11 92 12 75 1.92 13 98 3.4 14 100 3.28 Construct an estimated regression line between temperature and number of units sold. а) b) Does the model in part (a) confirm that contribution of temperature to number of units of air conditioner sold? Test using a 0.05. Find the coefficient of correlation. What does the value imply about the relationship of the two variables? c) If the temperature soared to 120 Fahrenheit, can you predict the number of units of air conditioner sold? Explain d)arrow_forward
- A sample of 10 diesel trucks were run both hot and cold to estimate the difference in fuel economy. The results, in mpg. are presented in the following table. (From "In-use Emissions from Heavy-Duty Diesel Vehicles," J. Yanowitz, Ph.D. thesis, Colorado School of Mines, 2001.) Truck Hot Cold 4.56 4.26 2 4.46 4.08 3 6.49 5.83 5.37 4.96 5 6.25 5.87 6 5.90 5.32 4.12 3.92 8 3.85 3.69 4.15 3.74 10 4.69 4.19 Find a 98% confidence interval for the difference in mean fuel mileage between hot and cold engines.arrow_forwardFive students provided data regarding the number of hours they spent on studying (TimeStudy) and their GPA. The data are as follows. Answer the following questions. TimeStudy GPA Student 1 2.00 3.50 Student 2 4.00 3.70 Student 3 5.00 3.30 Student 4 3.00 2.60 Student 5 4.00 3.40 Where SS(residual)=∑i(yi−yˆi)^2 is 0.6829 Calculate (by hand) the SStotal and SSmodel. What does mean by “goodness of fit”? What is the F-ratio for testing the “goodness of fit”? Is it statistically significant? Calculate this question by hand. What does tobs = 3.47 mean? What does tcrit = 3.47 mean? If the ƞ2 in an experiment is 0.6, give any possible value of ω2.arrow_forwardRefer to the data presented in Exercise 2.86. Note that there were 50% more accidents in the 25 to less than 30 age group than in the 20 to less than 25 age group. Does this suggest that the older group of drivers in this city is more accident- prone than the younger group? What other explanation might account for the difference in accident rates?arrow_forward
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- The article cited in Exercise 4 also investigated the effects of the factors on glucose consumption (in g/L). A single measurement is provided for each combination of factors (in the article, there was some replication). The results are presented in the following table. Glucose Consumption 68.0 -1 -1 -1 -1 -1 77.5 -1 -1 98.0 1. 1. -1 98.0 -1 -1 74.0 -1 77.0 -1 97.0 98.0 Compute estimates of the main effects and the interactions. a. Is it possible to compute an error sum of squares? Explain. Are any of the interactions among the larger effects? If so, which ones? d. Assume that it is known from past experience that the additive model holds. Add the sums of squares for the interactions, and use that result in place of an error sum of squares to test the hypotheses that the main effects are equal to 0. Ъ. C.arrow_forwardWinter visitors are extremely important to the economy of Southwest Florida. Hotel occupancy is an often- reported measure of visitor volume and visitor activity. Hotel occupancy data for February in two consecutive years are as follows. Current Year Previous Year Оссирied Rexms 1470 1458 Total Rooms 1750 1800 a. Formulate the hypothesis test that can be used to determine if there has been an increase in the proportion of rooms occupied over the one-year period. b. What is the estimated proportion of hotel rooms occupied each year? Using a 0.05 level of significance, what is your hypothesis test conclusion? What is the p-value? C. d. What is the 95% confidence interval estimate of the change in occupancy for the one-year period?arrow_forwardA baseball pitcher, concerned about losing speed from his fastball, undertook a new training regimen during the offseason. His team's pitching coach measured the speed of 20 random fastballs (in miles per hour) thrown by the pitcher during spring training, and compared it with a sample of 20 random fastballs thrown during the pitcher's last five starts in the previous season. The results are shown in the following table. Assume that the pitcher's fastball speeds had a standard deviation of 2.9 miles per hour both before and after the training regimen and that the speeds for both time periods are normally distributed. Let the pitcher's fastball speeds in the previous season be the first sample, and let the pitcher's fastball speeds in spring training be the second sample. At the 0.05 level of significance, is there evidence that the pitcher is throwing fastballs at higher speeds? Find the test statistic, rounded to two decimal places, and the p-value, rounded to three decimal places.…arrow_forward
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