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Industrial Designs has been awarded a contract to design a label for new wine produced by Lake Winery. The company estimates that 145 hours will be required to complete the project. Three of the firm's graphics designers are available for assignment to this project: Lisa, a senior designer and team leader; David, a senior designer; and Sarah, a junior designer. Because Lisa worked on several projects for Lake View Winery, management has specified that Lisa must be assigned at least 40% of the total number of hours that are assigned to the two senior designers. To provide label-designing experience, Sarah must be assigned at least 15% of the total project time. However, the number of hours assigned to Sarah must not exceed 25% of the total number of hours that are assigned to the two senior designers. Due to other project commitments, Lisa has a maximum of 50 hours available to work on this project. Hourly wage rates are $35 for Lisa, $28 for David, and $20 for Sarah. Formulate a linear program that can be used to determine the number of hours each graphic designer should be assigned to the project in order to minimize total cost. What is the total cost?
Compute the mean, standard deviation, median, and standard error for each group.
A quadratic revenue function often occurs in practice. The reason is that as more units are produced, the price must be lowered in order to sell them all.
An American Society of Investors Survey found that 30% of individuals have used a discount broker. In a random sample of 9 individuals, what is the probability That:
You're in charge of an experiment to evaluate a treatment which is advertised as being 90% effective at killing a particular insect. You plan an experiment in which the treatment is tested on 200 insects.
According to TNS Intersearch, 69% of wireless web users use it primarily for receiving and sending e-mail. Suppose that three wireless web users are selected at random. What is the probability that all of them use it primarily for e-mail?
We are asked to test for independence between age (i.e., adult and teen) and drink preferences.
A device has a sensor connected to an alarming system. The sensor triggers with probability 0.95 if dangerous conditions exist in a given day and with probability 0.005 if conditions are normal during the day. Days with dangerous conditions occur ..
The manager of Sam's Food Mart guarantees that none of his cartons containing a dozen eggs will contain more than one bad egg, despite the fact that 4% of individual eggs are known to be bad. Define the random variable x to be the number of bad eg..
A researcher claims that the average age of people who buy lottery tickets is 64. A sample of 30 is selected and their ages are recorded as shown below.
Precisely (i.e., using specific numbers) what does central limit theorem tell us about sampling distribution of sample means for samples of this size from this population?
Hours worked is important predictor of amount of sales.
Tompkins Associates reports that the mean clear height for a Class A warehouse in the Unites States is 22 feet. Suppose clear heights are normally distributed and that the standard deviation is 4 feet.
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