An auctioneer of antique Iranian rugs kept records of his weekly auctions in order to determine the relationships among price, age of carpet or rug, number of people attending the auction, and the number of times the winning bidder had previously attended his auctions. He felt that, with this information, he could plan his auctions better, serve his steady customers better, and make a higher overall profit for himself. The results shown in the accompanying ta

Mrs. Harris is studying whether eating breakfast the day of an achievement test produces higher test scores in her 6th grade classroom. The data is shown in the tables below.Achievement Test Scores: No Breakfast Student Score Student A 248 Student B 277 Student C 245 Student D 256 Student E 255 Student F 279 Student G 281 Student H 265 Achievement Test Scores: After Eating Breakfast Student Score Student J 271 Student K 244 Student L 280 Student M 284 Student N 259 Student P 267 Student R 258 Student S 275 Identify the important pieces of information needed to decide if there is a statistically significant difference in the data sets (null hypothesis, alternative hypothesis, one- or two- tailed test, sample size for each group). a The null hypothesis is eating breakfast before an achievement test has no effect on test scores.The alternative hypothesis is eating breakfast before an achievement test produces higher test…

(c) Draw a boxplot of the differenced data. Does this visual evidence support the results obtained in part (b)? Which boxplot below represents the data? A. O C. -6 -6 -4 -2 Differences -2 Differences 2 Q 2대 B. -6 -6 -4 -4 -2 Differences Differences 0 0 2

A financial analyst is examining the relationship between stock prices and earnings per share. She chooses sixteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1. Also given is the product of the earnings per share and the current stock price for each of the sixteen stocks. (These products, written in the column labelled "xy ", may aid in calculations.) Earnings per share, x (in dollars) 36.79 49.84 30.65 30.17 17.66 57.66 37.98 20.65 58.67 13.52 41.83 39.28 43.73 Current stock price, y (in dollars) 1.43 1.56 0.81 1.40 0.77 2.64 1.11 0.70 2.18 0.41 1.80 1.05 1.63 ху 52.6097 77.7504 24.8265 42.238 13.5982 152.2224 42.1578 14.455 127.9006 5.5432 75.294 41.244 71.2799 Current stock…

Psychologists at Disney World measured factors that affect the scariness of the soundtrack for their Haunted House ride. In particular, they were interested in the loudness of the screams (soft versus loud) and the length of the screams (short versus long). They used a 2 × 2 factorial design to test how these factors combined. They collected data from 10 different riders in each of the four conditions. Each rider rated the scariness of the ride on a nine-point scale. short screams long screams soft screams T=38, n = 10, SS = 13.6 T=64, n = 10, SS = 22.4 loud screams T=52, n=10, SS = 29.6 T=50, n=10, SS = 16.0 For these data: G = 204, N = 40, X2 = 1156. 1. Sketch a dataplot of the mean rating in each condition. 2. Calculate SS total, the total sum of squares 3. Calculate SSwithin, the within-treatments sum of squares. 4. Calculate SSbetween, the between-treatments sum of squares. 5. Calculate SSA the sum of squares for Factor A (length of scream). 6. Calculate SSB, the sum of squares…

To determine the amount of sugar in a typical serving of breakfast cereal, a student randomly selected 60 boxes of different types of cereal from the shelves of a large grocery store. The student noticed that the side panels of some of the cereal boxes showed sugar content based on one-cup servings, while others showed sugar content based on three- quarter-cup servings. Many of the cereal boxes with side panels that showed three-quarter-cup servings were ones that appealed to young children, and the student wondered whether there might be some difference in the sugar content of the cereals that showed different-size servings on their side panels. To investigate the question, the data were separated into two groups. One group consisted of 29 cereals that showed one-cup serving sizes; the other group consisted of 31 cereals that showed three-quarter cup serving sizes. The boxplots shown below display sugar content (in grams) per serving of the cereals for each of the two serving sizes.…

Consumer Reports rated automobile insurance companies and gave annual premiums for top-rated companies in several states. The figure below shows premiums for urban customers (married couple with one 17-year-old son) in three states. The box plots were all drawn using the same scale on a TI-8- Texas Pennsylvania California (a) Which state has the lowest premium? the highest? O lowest, California; highest, Texas O lowest, Texas; highest, Pennsylvania O lowest, Pennsylvania; highest, California lowest, California; highest, Pennsylvania

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A financial analyst is examining the relationship between stock prices and earnings per share. She chooses fifteen publicly traded companies at random and records for each the company's current stock price and the company's earnings per share reported for the past 12 months. Her data are given below, with x denoting the earnings per share from the previous year and y denoting the current stock price (both in dollars). A scatter plot of her data is shown in Figure 1. Also given is the product of the earnings per share and the current stock price for each of the fifteen stocks. (These products, written in the column labelled "xy ", may aid in calculations.) Earnings per Current stock price, y (in dollars) share, x (in dollars) xy 37.59 1.19 44.7321 y 56.02 2.70 151.254 20.21 0.75 15.1575 X 41.33 0.91 37.6103 19.90 0.63 12.537 58.72 2.37 139.1664 43.33 1.45 62.8285 42.61 1.77 75.4197 13.72 0.52 7.1344 37.29 1.39 51.8331 30 30.12 0.93 28.0116 49.34 1.59 78.4506 Earnings per share (in…

The Sea Wharf Restaurant would like to determine the best way to allocate a monthly advertising budget of $1,000 between newspaper advertising and radio advertising. Management decided that at least 25% of the budget must be spent on each type of media and that the amount of money spent on local newspaper advertising must be at least two and a half times the amount spent on radio advertising. A marketing consultant developed an index that measures audience exposure per dollar of advertising on a scale from 0 to 100, with higher values implying greater audience exposure. If the value of the index for local newspaper advertising is 50 and the value of the index for spot radio advertising is 80, how should the restaurant allocate its advertising budget to maximize the value of total audience exposure? (a) Formulate a linear programming model that can be used to determine how the restaurant should allocate its advertising budget in order to maximize the value of total audience exposure. If…