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A feed company is developing a feed supplement from two grains A and B. Each kilogram of A contains 0.3 grams of protein and 0.2 grams of carbohydrates; each kilogram of B contains 0.9 grams of protein and 0.1 grams of carbohydrates. There must be at least 27 grams of protein and at least 8 grams of carbohydrates. Each kilogram of A costs 30 cents and each kilogram of B costs 50 cents.
a) Write out the objective cost function.
b) Write out the constraints this company faces.
c) List all corner points and determine which combination of items will produce the minimum cost.
A professor receives, on average, 24 emails from students the day before the midterm exam. To compute the probability of receiving at least 10 emails on the next day before the midterm she would use which probability distribution?
Calculate a 90% CI for the population proportion of Americans who believe there is intelligent life on other planets.
A salesperson goes door-to-door in a residential area to demonstrate the use of a new household appliance to potential customers. She has found from her years of experience that after demonstration, the probability of purchase (long run average) i..
Test to see if the mean cell phone bill has changed since 2004. Use a .05 level of significance for the test.
The owner of a local golf course wanted to determine the average age of the golfers that played on the course. In a random sample of 30 golfers that visited his course, the sample mean was 48.34 and the standard deviation was 9.327. Calculate a 90..
The statewide incidence of gonorrhea is 50 per 100,000 over a 3 month period. Is the number of gonorrhea cases in this county unusual for this time period?
To test this notion, eight paid volunteers were placed (individually) in a room in which there was no light from the outside and no clocks or other indications of time.
Determine the average and the variation for Brand 1 price, sales market share, and total revenue, using the weekly market survey data (descriptive statistics).
What is the probability that at least three students choose Supreme Chocolate?
Note that under the exponential assumption, P(X>t) = exp(-t/theta). If t=5, use the result from (a) to find an approximate one-sided lower 95% confidence limit for theta.
At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations.
Indicate which of the following responses below is correct. Discuss why it is correct or discuss why standard deviation is such a valuable statistic in so many situations.
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