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Marketing managers have various media alternatives, such as radio, tv, magazines etc. in which to advertise and must determine which to use, the number of insertions in each and the timing of insertions to maximise advertising effectiveness within a limited budget. Suppose that three media options are available to Kernan Services Corporation: radio, tv and magazine. The following table provides some information about costs, exposure values, and bounds on the permissible number of ads in each medium desired by the firm. The exposure value is a measure of the number of people exposed to the advertisement and is derived from market research studies, and the client's objective is to maximise the total exposure value. The company would like to achieve a total exposure value of at least 90,000
Medium cost/ad Exposure value/ad Min units Max unitsRadio $500 2000 0 15TV $2000 4000 10magazine $200 2700 6 12
How many of each type of ad should be placed in order to minimise the cost of achieving the minimum required total exposure. Use the auxiliary variable approach to model this problem and write a short memo to the marketing manager explaining the solution and sensitivity information.
A sample of approx 25 students enrolled in the university points out that X (bar) = $315.4 and s = $43.20.
A random sampling of financial analysts was asked to provide forecasts of earnings per share of a corporation's stock for the next year. The results are summarized as follows:
The sample mean was $22,098 and the standard deviation was $6050. Is there evidence at the 1% significance level that the cost of attendance has increased?
Write a paragraph describing your interpretation when the slope is positive, zero, and negative. If you were buying a home in this particular city, which slope would be most attractive to you and why?
Please use the regression procedure within Excel under Tools > Data Analysis to construct this equation.
If a population distribution is skewed to the right, then given a random sample from that population, one would expect that the. median is greater than the mean.
A group of children can be classified according to eye color (blue, brown, green), gender (male, female), and hobby (collecting stamps, collecting baseball cards, collecting shells, collecting stickers).
Be sure the appropriate assumptions and conditions are satisfied before you proceed.
Assume then money spent is uniformly distributed between these amounts. Determine the mean amount spent on insurance?
A scientist wishes to find the 98% confidence interval for the mean number of peaches per tree. How many trees does she need to sample to be accurate within 10 peaches per tree?
How do you classify statistical findings in order of power: nominal, ordinal, interval, and ratio? Give example by making up values.
Historically the average age of European soccer players is reported as 26 years with a standard deviation of 4 years. A random sample of 81 European professional soccer players has an average age of 27 years.
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