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Between 1951 and 2000, there were 295 hurricanes in the Atlantic Ocean. Assume thatthe numbers of hurricanes in different years can be accurately modeled as i.i.d. randomvariables having a Poisson distribution with mean λ. Find a 90 percent confidence intervalfor λ.9. Let X1, . . . , Xn be a random sample from the pdf fX(x; θ) = (θ + 1)xθfor 0 < x < 1, andfX(x; θ) = 0 otherwise, where θ > -1. Recall that in Problem 8 of Homework 2, you foundthat the MLE for θ is given byˆθ = -1 +nPni=1 log Xi
Attachment:- 91744_1_181Ahw5.pdf
Compute the expected value of perfect information. Do you think it would be worth trying to obtain additional information concerning which scenario is likely to occur?
According to an internet posting, 80% of adults enjoy drinking beer. Choose a group of 3 adults at random. The probability that none of them enjoy drinking beer is:
Compared for 5 randomly selected days at three plants. Does the data prove a significant difference in mean scrap rates? Which pairs of mean scrap rates differ significantly (3 plants)?
Estimate the true proportion of incomplete files for ALL the bank's commercial loans. Write a statement about the confidence level and the interval you find.
Calculate correlation coefficient for these sample data.
Using the following 12 numbers (12, 34, 23, 10, 9, 45, 14, 34, 12, 13, 13, 35), calculate 1. the median 2. the mode 3. the mean
Run a simple regression of the dependent variable demand on the independent variable price and observe the coefficient on price.
Mean equal to $175 a month and standard deviation of $35, which of the following would be the highest individual rent that you might expect to find?
A United Nations report shows the mean family income for Mexican migrants to the U.S.. is $27,000 per year. A FLOC evaluation of a sample 25 Mexican families units reveals a mean to be $30,000 with a sample standard deviation of $10,000.
Carry out a t-test to see if the mean healing rate is significantly lower in the experimental limbs, including all 12 newts. What are the test statistics and their P-values?
In a survey of 8000 woman, 5431 say they change their nail polish once a week. Construct a 99% confidence interval for the population proportion of woman who change their nail polish once a week. A 99% confidence interval for the population is??
A 'good' correlation is data-context driven. For example, I did a project correlating sales volume per state and customer demographics (pretty 'hard' data) and got a .92 correlation.
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