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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 ??
situations comparing two proportions are described. in each case determine whether the situation involves comparing
The claim is that the proportion of adults who smoked a cigarette in the past week is less than 0.35, and the sample statistics includen =1276 subjects with 434 saying that they smoked a cigarette in the past week. Find the value of the test stati..
Testing for a linear correlation. Construct a scatter plot, find the value of the linear correlation coefficient r, and find the critical values of r from the table below using a=0.05.
before bidding on a contract a contractor wants to be 90 confident that he is in error by less than 20 minutes in
a company wants to find the average weight of its products. a large initial sample shows the standard deviation of the
Determine probability, P(Z
suppose the average math sat score for all students taking the exam this year is 480 with standard deviation 100.
Levels of employee motivation in his organization are dropping leading to drop in employee productivity. Draft a research proposal to identify the problem and suggest a methodology for recommending a solution.
consider the following time series data of sales per yearyearsales199522.2199623.0199724.4199825.8199927.6enter these
a well-known highly profitable technology company had a unique culture based on meritocracy and generating results. the
You are the designer for your company's web site. You have data to indicate that the mean download time for the homepage is 5.8 seconds and that the standard deviation of download time is 2.1 seconds.
After these additives are mixed, an equal amount of base is added for each color. The company currently has 1000 gallons of A1, 1500 of A2, 2000 of A3, and 4000 of base. Given that the selling price per gallon for each type on ink is the same, for..
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