A multinational corporation (MNC) has two manufacturing facilities- one in Limerick, the other in Texas. Both produce identical products and employ roughly the same number of employees. The Operations Director randomly selects 25 weeks from the previous year's production figures. During each of the weeks chosen, employees worked 5 full days and no overtime. The production figures, in thousands, for each facility are as follows:
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- A town has two competing internet service providers, A and B. Every year, 11% of people with provider A switch to B, and 87% stick with provider A. Meanwhile, 15% of people with Provider B switch to A, and 81% stick with B. Of people with no ISP, 12% sign up with provider A and 10% sign up with provider B. In the long term, how many people will have no ISP? Round to 3 significant figures.Economist Arthur Laffer suggests that beyond a certain point, high tax rates depress the economy so much that they actually reduce tax revenues. He proposed tax reductions as a means of stimulating the economy and, as a result, increase tax revenues. In the mid 1990’s Time magazine reported that 30% of the US Congress supported a tax cut as a means of stimulating the economy and increasing tax revenues. Suppose at that time 5 members of congress were randomly selected for an interview and asked whether they supported a tax cut to stimulate the economy. 1.2) Find the probability that at least three of the five members of congress who were interviewed were in favour of a tax cut (rounded off to four decimals).High school seniors with strong academic records apply to the nation's most selective colleges in greater numbers each year. Because the number of slots remains relatively stable, some colleges reject more early applicants. Suppose that for a recent admissions class, an Ivy League college received 2,852 applications for early admission. Of this group, it admitted 1,032 students early, rejected 857 outright, and deferred 963 to the regular admission pool for further consideration. In the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admission process, the total class size was 2,377. Let E, R, and D represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. (a) Use the data to estimate P(E), P(R), and P(D). (Round your answers to four decimal…
- The Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine. The Coca-Cola Data and a MINITAB Output of a Randomized Block ANOVA of the Data: Building 1 2 3 4 5 6 7 8 9 10 Coke Classic 45 136 134 41 146 33 71 224 111 87 New Coke 6 114 56 14 39 20 42 156 61 140 Pepsi 24 90 100 43 51 42 68 131 74 107 Two-way ANOVA: Cans versus Drink, Building Source DF SS MS F P Drink 2 7997.6 3998.80 5.78 0.011 Building 9 55573.5 6174.83 8.93 0.000 Error 18 12443.7 691.32 Total 29 76014.8…The Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine. The Coca-Cola Data and a MINITAB Output of a Randomized Block ANOVA of the Data: Building 1 2 3 4 5 6 7 8 9 10 Coke Classic 45 136 134 41 146 33 71 224 111 87 New Coke 6 114 56 14 39 20 42 156 61 140 Pepsi 24 90 100 43 51 42 68 131 74 107 Two-way ANOVA: Cans versus Drink, Building Source DF SS MS F P Drink 2 7997.6 3998.80 5.78 0.011 Building 9 55573.5 6174.83 8.93 0.000 Error 18 12443.7 691.32 Total 29…The Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine.The Coca-Cola Data and a MINITAB Output of a Randomized Block ANOVA of the Data: Building 1 2 3 4 5 6 7 8 9 10 Coke Classic 42 133 131 50 148 33 64 210 106 86 New Coke 6 110 54 12 43 11 34 160 57 147 Pepsi 33 95 105 45 45 45 76 122 79 96 Two-way ANOVA: Cans versus Drink, Building Source DF SS MS F P Drink 2 7,208.5 3,604.23 4.59 .024 Building 9 51,209.2 5,689.91 7.25 .000 Error 18 14,132.2 785.12 Total 29…
- Slamet is a young entrepreneur who started his business by opening 5 “Bebek Mas Slamet” restaurants in different locations, namely in Blok S, Blok M, Blok A, Senayan, and Depok areas. Because it is still in its infancy, Slamet still frequently observes data on the number of sales portions of Fried Duck which is the mainstay of the restaurant "Bebek Mas Slamet". The following data shows the total sales of Bebek Goreng for the last two days for the time of day, afternoon, and evening that Slamet is observing from the four restaurant locations Penjualan Siang Sore Malam Blok S 40 41 30 32 43 43 Blok M 36 40 35 33 45 46 Blok A 40 45 39 48 46 50 Senayan 34 37 36 35 45 44 Depok 36 40 37 34 47 48 Help Slamet to analyze the data on the sales of fried duck over the past two days by answering some of the questions in this question. Some of the results of the calculation of the sum of squares…High school seniors with strong academic records apply to the nation's most selective colleges in greater numbers each year. Because the number of slots remains relatively stable, some colleges reject more early applicants. Suppose that for a recent admissions class, an Ivy League college received 2851applications for early admission. Of this group, it admitted 1033 students early, rejected 854 outright, and deferred 964 to the regular admission pool for further consideration. In the past, this school has admitted 18% of the deferred early admission applicants during the regular admission process. Counting the students admitted early and the students admitted during the regular admission process, the total class size was 2375. Let E, R, and D represent the events that a student who applies for early admission is admitted early, rejected outright, or deferred to the regular admissions pool. a. Use the data to estimate P( E), P(R), and P( D). b. Are events E and D mutually exclusive?…he Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine.The Coca-Cola Data and a MINITAB Output of a Randomized Block ANOVA of the Data: Building 1 2 3 4 5 6 7 8 9 10 Coke Classic 46 133 123 41 152 35 62 217 122 86 New Coke 4 114 64 15 48 10 39 146 53 143 Pepsi 27 82 110 36 52 43 62 130 71 98 Two-way ANOVA: Cans versus Drink, Building Source DF SS MS F P Drink 2 8,147.4 4,073.70 5.68 .012 Building 9 53,434.8 5,937.20 8.28 .000 Error 18 12,914.6 717.48 Total 29…
- Some researchers have conjectured that stem-pitting disease in peach-tree seedlings might be controlled with weed and soil treatment. An experiment is conducted to compare peach-tree seedling growth when the soil and weeds are treated with one of two herbicides. In a field containing 20 seedlings, 10 are randomly selected throughout the field and assigned to receive Herbicide A. The remainder of the seedlings is assigned to receive Herbicide B. Soil and weeds for each seedling are treated with the appropriate herbicide, and at the end of the study period the height in centimeters is recorded for each seedling. The following results are obtained: Mean Std. Dev. Herbicide A 94.5 cm 10 cm Herbicide B 109.1 cm 9 cm Reference: Ref 7-14 Suppose we wish to determine if there tends to be a difference in height for the seedlings treated with the different herbicides. Find the P-value for this test assuming the standard deviations of the two populations are equal.A nutritionist randomly divided 15 cyclists into three groups of 5 cyclists each. Cyclists in the first group were given vitamin supplements, which they took with their meals for the next three weeks. The second group was instructed to eat certain types of high-fiber whole grain cereals for the next three weeks. Cyclists in the third group ate the same way they normally eat. After three weeks, each cyclist rode 6 miles, from which the following times were recorded: Vitamin group 15.6 16.4 17.2 15.5 16.3 Fiber group 17.1 16.3 15.8 16.4 16.0 Control group 15.9 17.2 16.4 15.4 16.8 Is the data consistent with the hypothesis that vitamin supplements or fiber cereals do not affect the speed of cyclists? Use a 1% significance level.A manufacturing company that produces laminate for countertops is interested in studying the relationship between the number of hours of training that an employee receives and the number of defects per countertop produced. Ten employees are randomly selected. The number of hours of training each employee has received is recorded and the number of defects on the most recent countertop produced is determined. The results are as follows. Hours of Training Defects per Countertop 1 5 4 1 7 0 3 3 2 5 2 4 5 1 5 2 1 8 6 2 Copy Data The estimated regression line and the standard error are given. Defects per Countertop=6.717822−1.004950(Hours of Training)se=1.229787se=1.229787 Suppose a new employee has had 5 hours of training. What would be the 90% prediction interval for the number of defects per countertop? Round your answer to two decimal places.