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Suppose Y is the daily revenue for some company, where E(Y) = $10,000 and
Var(Y) = ($^2)540,000 and sigmay = $734.85.
a) If Y is normally distributed find P(Y ? $11000).
b) If Y is triangularly distributed with alpha = $6000 and beta = $12000 find P(Y ? $11000).
c) If Y is uniformly distributed with alpha = $6000 and beta = $12000 find P(Y ? $11000).
d) If Y is a gamma random variable find P(Y ? $11000).
e) If Y is lognormally distributed find P(Y ? $11000).
Suppose we want to test the hypothesis. State hypothesis Ho and the alternative hypothesis H1 that we would use for this test.
a. What is the probability of a type I error? b. Give the formula for the test statistic.
where sleep and totwrk (total work) are measured in minutes per week and educ and age are measured in years. Suppose the following equation is estimated - Discuss what would happen to someone's sleep if they choose to work more.
It is estimated that 10 percent of those taking the quantitative methods portion of the CPA examination fail that section. Sixty students are taking the exam on Saturday.
the proportion of students in private schools is around 11. a random sample of 450 students from a wide geographic area
What is the probability that Susan passes on the first try? What is the probability that Susan first passes on the second try?
Using the original data, test at the 5% significance level that the population standard deviation of studying times is greater than 4 hours.
From past estimates, manager thinks that about 4% of customers have expressed dissatisfaction. What sample size must you use for this survey?
Suppose that each passenger may get out of the elevator at either of the 2nd or the 3rd floor. Note that 8 passengers are different. How many ways may the 8 passengers get out of the elevator?
Sugar packaged by a certain machine has a mean weight of 5lb and a standard deviation of 0.02 lb. For what values of c can the manufacturer of the machinery claim that the sugar packaged by this machine has a weight between 5 - c and 5 + c lb with..
Calculate the test statistic, and interpret the result, calculate the p-value, and interpret the result and determine the rejection and non-rejection regions.
Draw a tree diagram to show all possible outcomes of the experiment. Label the probability associated with each stage of the experiment on the appropriate branch.
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