The following table shows the daily receipts in millions of dollars of the movie "The Hunger Games" after its opening on 23 March 2012. Days SReceipts 33.111 14 28 14.666 5.587 2.95 42 56 70 1.567 84 0.852 98 0.397 112 0.279 126 0.518 Find the average rate of change of the daily receipts from day 70 to day 126. Preview millions / day
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- What is the total effect on the economy of a government tax rebate of $500 to each household in order to stimulate the economy if each household will spend of the rebate in goods and services?Suppose that historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has statistically significantly decreased, what is the p-value? (please round your answer to 4 decimal places)The following table gives the number of deaths due to accidental falls for each month during 1970. Is there any evidence for a departure from uniformity in the rate over time? That is, is there a seasonal pattern to this death rate? If so, describe its pattern and speculate as to causes. Table attached.
- Suppose the linear relationship between traffic violations and auto insurance premium has SSR of 2825 and SST of 3150. What percent of the insurance premium is unexplained by traffic violation?The manager of a supermarket tracked the amount of time needed for customers to be served by the cashier. After checking with his statistics professor, he concluded that the checkout times are exponentially distributed with a mean of 5 minutes. What propotion of customers require more than 10 minutes to check out?Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 52%. Over the previous 4 months, in a sample of 115 new-car buyers, 59 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what is the test statistic? (please round your answer to 2 decimal places)
- Suppose that historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous six months, in a sample of 115 new car buyers, 46 have traded in their old car. To determine whether the proportion of new car buyers that trade in their old car has  statistically significantly decreased, what is the P value? (please round your answer to four decimal places)Your flight is scheduled to arrive in TPA at 10:05pm. You have estimated that the time from arrival for you to deplane, get across the airport, collect your checked bags, and make it to the train station is well described by an exponential distribution with mean 40 minutes. If the last train leaves at 11:00pm, what is the probability that you make it to the train on time if your plane arrives 10 minutes late?Assume that the time it takes for bacterial growth on a dairy product after it is taken out of fridge follows an Exponential distribution with a mean of 10 minutes. What is the probability that bacterial growth will not happen in 15 minutes if the dairy product has already been out of the fridge for 10 minutes?
- This figure, presents the percentage deviation from the 60:40ratio in the market values of equity of Royal Dutch and Shell between September 1980 andSeptember 1995. 1. What is the main finding of this Figure?2. What is the explanation for the finding?The times (in seconds) between sixteen consecutive eruptions of a geyser were as follows:878, 871, 906, 933, 930, 852, 890, 861, 882, 888, 897, 899, 879, 888, 848 By entering the data into R, find the following (giving answers to two decimal places):A five years Business Informatics student studying at TU Wien does some temporary substitute work on the banking sector every 31 days on average, and this time follows an exponential distribution. After acquiring one of these works, its duration is also aleatoric, exponentially distributed and its mean duration is 60 daysThe money earned depends on the total number of days worked in each contract, paid at $100 daily. For unemployment periods, the student has taken out an insurance for which $50 is paid for each day on the dole. Build a queuing model to establish the mean annual income (1 year = 365 days) that the student earns. (Hint: single server, finite customer population of 1.)