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A farmer in Georgia must decide which crop to plant next year on his land: corn, peanuts, or soybeans. The return from each crop will be determined by whether a new trade bill with Russia passes the Senate. The profit the farmer will realize from each crop given the two possible results on the trade bill is shown in the following
payoff table.Trade BillPassFail
Crop Corn Peanuts Soybean$35,000 18,000 22,000$ 8,000 12,000 20,000
Determine the best crop to plant using the following decision criteria.
a. Maximaxb. Maximinc. Minimax regretd. Hurwicz (α = .3)e. Equal likelihood
Find a dataset: approximately 30-100 scores or observations. Write a null and alternative hypothesis, conduct a statistical significance test (in SPSS or Excel), and tell what decision you'd make about the null hypothesis, and why.
The heights, in feet, of the five tallest buildings in four large cities are compared. What is the critical value if the level of significance is 0.10?
If Belson Electronics's new converter produces less than the 110 volts of their old product, they must redesign it. A sample of 303 converters generated a mean of 107.2 volts, with a standard deviation of 47.3 volts. Set Alpha at 5 percent.
According to T-100 Domestic Market, the top seven airlines in the United States by domestic boardings in a recent year were Southwest Airlines with 81.1 million, Delta Airlines with 79.4 million, American Airlines with 72.6 million, United Airline..
Suppose that in a hypothesis test with null hypothesis = 13.0 at 0.05, that a value of 11.0 for the sample mean results in the null hypothesis not being rejected.
Assuming this is literally true, how can it be explained? What facts and/or statistics would you need to know to expose this misleading claim?
If 3 different factor levels show a lot of variation between levels this implies:
An HMO is considering a marketing plan targeting patients with chronic diseases to increase the number getting a flu shot. Some preliminary analyses are conducted before implementing such a plan.
Produce the summary output and give the estimated equation for your chosen model and find a suitable regression model to predict y2 using x2 as an explanatory variable. Comment on the output used and justify your choice of model.
Based on what we know about statistics and using your example, how do you believe statistics can enrich and represent the results of a study? How can statistics be used to misrepresent the results of a study?
Scores on a scholastic aptitude test are normally distributed with standard deviation σ=100 points. A group of 25 inner city high school students takes the test; their mean scores is x-bar = 440 points.
What is the difference between strong negative and strong positive correlation? What does zero correlation tell you? Can you share a relationship between two variables that is typically negative?
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