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Q1) Jeweller and her apprentice make silver pins and necklaces by hand. Every week they have 80 hours of labour and 36 ounces of silver available. It needs 8 hours of labour and 2 ounces of silver to make a pin, and 10 hours of labour and 6 ounces of silver to make a necklace. Every pin also comprises a small gem of some kind. Demand for pins is no more than six per week. Pin earns jeweller $400 in profit, and necklace earns $100. Jeweller desires to know how many of each item to make each week to maximize profit.
i) Create the integer programming model for this problem (written in format similar to way Problems 1 and 2 were presented).
ii) Solve this problem using computer (note: if using QM for Windows, make sure to use Integer and Mixed Integer Programming Module).
Compute mean x and standard deviation s of data above. Calculate Ho by using traditional/classical method.
Ninety of the sample students are in the Business College, 120 are in the Liberal Arts College, and 90 are in the Education College.
At the 5 percent level of significance, can we conclude that the mean weight is greater than 16 ounces? Determine the p-value.
An automobile insurance company estimates the following loss probabilities for the next year on a $25,000 sports car:
A sample of 10 persons is used to measure the effectiveness of two massage techniques. The effectiveness of the techniques is measured by the number of days that pass by before the subjects feel the need for another massage session.
Similar survey of student population 10 years ago found that coffee shop was favoured by 20% of students, and pizza and hamburger were each preferred by 40% of the students. Determine the expected frequencies for chi-square test.
Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are:
Compute the skewness for your data set using Pearson's
Create a 99% confidence interval for mean overall duration of symptoms in population of individuals who used zinc lozenges.
Hours worked is important predictor of amount of sales.
The heights of young women are approximately normal with mean 65 inches and standard deviation 2.5 inches.
A psychologist determined that the number of sessions required to obtain the trust of a new patient is 1, 2, and 3. Let x be the random variable indicating the number of sessions required to gain the patient's trust. The following probability fu..
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