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Task 2. Let's consider the "same" experiment and scoring scheme in Task 1 except that now the die is "weighted" so that the probability of getting the various rolls of the die is as follows:
Roll 1 2 3 4 5 6Probability 1/4 1/6 1/6 1/6 1/6 1/12
Find the expected value (don't forget the coin toss). In order to make a little profit in the "long run", what should your minimum charge be for the privilege of playing this game?
The mean weight of trucks traveling on the the highway is unknown. A state highway inspector needs an estimated mean. He selects 49 trucks passing the weighing station and gets a mean of 15.8 tons
What is the relationship between the amount spent per week on food and the size of the family? Do larger families spend more on food?
The Weschsler IQ test has a μ =100 and a σ = 15. A vitamin company said if people took vitamin X for 30 days their IQ would improve. A simple random sample of 49 people took the vitamins for 30 days. They then took the IQ test. The mean IQ of the ..
The ELISA test for AIDS was used in the screening of blood donations in the 1990s. As with most medical diagnostic tests, the ELISA test is not infallible.
Compare the two sets and describe what you discover. The following data sets shows the ages of the first seven presidents (President Washington through President Jackson) and the seven most recent presidents including President Obama. Age is given..
A deck of playing cards contains 52 cards, four of which are aces. What is the probability that deal of a five-card hand provides?
What is the probability an applicant does not pass the test and is a sucessful manager?
Taking care to control for weather conditions and other variables as much as possible. Define the null hypothesis.
The J.O. supplies company buys calculators the probability of a defective calculator is 10%. If 100 calculators are selected at random, what is the expected number of defective?
The cost accountant for Blue Pharmaceuticals has informed you that the company's materials quantity variance for the drug Allegro was exactly equal to its materials price variance for the year.
A sample of 64 observations is selected from a normal population. The sample mean is 215, and the sample standard deviation is 15. Conduct the following test of hypothesis using the .03 significance level.
Shows a sample mean of 1,261 with a standard deviation of 59. Should Pennsylvania adopt the new system for all toll roads in the state?
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