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Suppose that a scientist desires to estimate the proportion? of monarch butterflies with a special type of marking on their wings. Suppose he captures monarch butterflies one at a time, and at the end of the day the scientist had captured 60 monarch butterflies and had found only two with special marking.
(a) Show that the family of beta-distributions constitutes a conjugate prior family for this model
(b) Based on some prior research one assumes a beta-prior for ? with parameters a = 1 and b = 9. What is the Bayes estimator of p with respect to quadratic loss?
(c) What is the MLE of ??
decks of pinochle cards have a total of 48 cards and consist of 8 cards each of nines tens jacks queens kings and aces
A test is given to graduates of tw buisness schools A and B. The scores are given out of 100. Test whether the school differ in quality by using Mann- Whitney U- test with a 10% level of significance.
At a particular school with 300 female students, 50 play football, 48 play basketball, and 8 play both. What is the probability that a randomly selected female student plays neither sport?
Plot stem-and-leaf plot and boxplot for Mtotal. Illustrate hand calculation of median location and upper hinge location of boxplot, and determine their corresponding data values.
Determine the probability, using binomial distribution, of obtaining 4 or more nonconforming units when sampling 30 computers from batch known to be 10% nonconforming.
A trans-oceanic airline conducted a study to determine whether the average weight of baggage checked by a passenger differs significantly from 45 pounds.
The animals are ordered from a supply company, housed in an animal care facility not under the direct control of the experimenter, and are supplied on an as-needed basis.
As part of a study of corporate employees, the Director of Human Resources for PNC, Inc. wants to compare the distance traveled to work by employees at their office in downtown Cincinnati with the distance for those in downtown Pittsburgh.
What is the probability that his sales for November will be less than $100,000? Find the mean, variance, and standard deviation of the November sales.
question a researcher is interested in comparing tastiness of different kinds of cheese in grilled cheese sandwiches.
let xn1.32 the proportion and find the proportiona. propxlt2.85b. propxgt3c. prop1.33ltxlt5.3d.
For adults 60 years or older, they found a mean daily intake of 721 mg with a standard deviation of 454 mg. Using these values for the mean μ and standard deviation σ for the U.S. population:
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