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The Elixer Drug Company produces a drug from two ingredients. Each ingredient contains the same three antibiotics in different proportions. One gram of ingredient 1 contributes 3 units, and ingredient 2 contributes 1 unit of antibiotic 1; the drug requires 6 units. At least 4 units of antibiotic 2 are required, and the ingredients each contribute 1 unit per gram. At least 12 units of antibiotic 3 are required; a gram of ingredient 1 contributes 2 units, and a gram of ingredient 2 contributes 6 units. The cost for a gram of ingredient 1 is $80, and the cost for a gram of ingredient 2 is $50. The company wants to formulate a linear programming model to determine the number of grams of each ingredient that must go into the drug in order to meet the antibiotic requirements at the minimum cost. Formulate a linear programming model for this program.
What is the probability that in a sample of 10 pieces: 5 or more will be defective?
Is there evidence that the change was successful in reducing the wait time? (use 0.05 level of significance)
The mean lifetime of electric light bulbs produced by a company has in the past been 1120 hours with a standard deviation of 125 hours. A sample of 20 bulbs revealed a standard deviation in the lifetimes of 150 hours.
Determine the estimated population mean?
The germination success rate for begonia seeds is 60%. In a package of 200 seeds,
Should you use a two tailed test versus the one tailed test? If the hypothesis is non-directional and you predict a difference between the means but do not specify which mean will be higher a two tailed test should be used.
Suppose in an attempt to develop marketing materials Tyco marketers are interested in determining whether there is a significant difference in the cost of replacing pipeline seals in different countries.
The mean of a normal probability distribution is 60; the standard deviation is 5.
At least 150 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 150/400 = .375?
At a board meeting of 20 businessmen, all of whom wear ties, what is the probability that:
An SRS of 100 of a certain popular model car in 1993 found that 20 had a certain minor defect in the brakes. An SRS of 400 of this model car in 1994 found that 50 had the minor defect in the brakes. Let p1 and p2 be the proportion of all cars of t..
In looking at your business, when and why would you want to use a one-sample mean test (either z or t) or a two-sample t-test? Create a null and alternate hypothesis for one of these issues. How would you use the results?
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