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A farmer wishes to determine the optimal level of a new fertilizer on his soybean
crop. Some factors that affect crop yield are fertilizer, precipitation, sunlight, method of tilling the soil, type of soil, plant and temperature. Many of these factors cannot be controlled or manipulated to increase crop yield, but the amount of fertilizer can be. An experiment is designed to study the effect of various amounts of fertilizer on crop yield. The soybean plants are randomly assigned to the different treatments.
Treatment A: 20 soybean plants receive no fertilizer
Treatment B: 20 soybean plants receive 2 teaspoons of fertilizer per gallon of water every 2 weeks
Treatment C: 20 soybean plants receive 4 teaspoons of fertilizer per gallon of water every 2 weeks
Diagram the experiment. Indicate the subjects of the experiment, the explanatory variable, and the response variable.
An insurance company states that 90% of its claims are settled within 5 weeks. A consumer group selected a random sample of 100 of the company's claims and found 75 of the claims were settled within 5 weeks.
One of 4 bus drivers is also arbitarily selected. Let Y denote number of students on his bus. Caculate expectations of X and Y: E(X)=?
The grades of a sample of 5 students, selected from a large population, are given below. Determine a point estimate for the variance of the population.
LPP using the graphical method. Solveout the following linear programming problem utilizing the corner point method.
To set up a decision rule, the sampling distribution is divided into two regions – a region of non-rejection and a region where the null hypothesis is rejected.
You have been asked to study the effects of an employee-wide training program, in a company of 500 employees, designed to reduce the amount of customer complaints.
You are the general marketing manager of Ford Motor company. The CEO of the company asked you to assess the viability of producing alternative fuel automobiles (ex, ethanol).
A researcher wishes to estimate within $300 the true average amount of money a country spends on road repairs each year. If she wants to be 90% confident, how large a sample is necessary? The standard deviation is known to be $900.
What results in your departments seem to be correlated or related (either causal or not) to other activities? How could you verify this? What are the managerial implications of a correlation between these variables?
Assume that the two tests use different scales to measure the same aptitude. If someone gets a SAT score that is the 67th percentile, find the actual score and the equivalent ACT score.
Generate a training sample of size 100 for each class, as well as a test sample of 5,000 per class. (Best to generate the centroids matrices per class once and store them).
If a member of the sales force submits an entertainment expense (dinner cost for four) of $190, should this expense be considered unusually high (and possibly worthy of investigation by the company)?
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