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1. ESPN reported in sample of 1000 homes the proportion of people who watched the Texas v. Ohio State college football game this weekend was .6. ESPN also reported that in another sample of 1000 homes the proportion of people who watched the Arizona State v. Louisiana State game was .4. Conduct a hypothesis test to determine if the proportion of people who watched the Texas v. Ohio State game was greater than the proportion of people who watched the Arizona State v. Louisiana State game ( ). Assume α = .03 and remember to clearly state both the null and alternate hypothesis and your conclusion about the proportion of people watching the two games.
2. Historically, Yosemite Toads lay about 25,000 eggs out of which 15,000 typically hatch (60%). Yosemite National Park Rangers have been monitoring the amount of eggs hatching from Yosemite Toad egg bundles. Recently, Yosemite Rangers took a sample of 100 egg bundles and found that 45% of the eggs hatched. The Rangers would like to know if the true proportion of Yosemite Toad eggs that hatch is really 60% or some other proportion ( ). Conduct a two-tailed hypothesis test to determine if the true proportion of eggs hatching is 60% or not. Assume α = .01 and remember to clearly state both the null and alternate hypothesis as well as your conclusion about the proportion of Yosemite Toad eggs that hatch.
Comparing the experimental and theoretical probabilities, can you say the die used in this experiment is a fair die? Why or why not?
A farmer in Iowa owns 45 acres of land. He is going to plant each acre with wheat or corn. Each acre planted with wheat yields $200 profit, requires 3 workers, and requires 2 tons of fertilizer; each with corn yields $300 profit, requires 2 worker..
A county has four major hospitals: 1) Regional Memorial; 2) General; 3) Charity; and 4) City. A multiple regression model is used to compare the time spent in the hospital after a heart by-pass surgery among the four hospitals.
A particular fast food restaurant is located near a University. 40% of the customers are students. Students prefer the spicier items.
Analyze the process of statistical quality control and determine which part of the process would be most difficult and what steps could be taken to mitigate the anticipated difficulty.
Testing for population mean - What happens as you use different levels of significance? Different values of the standard deviation?
Discuss an example where you would use a test of hypothesis for in your professional life, personal life, education or politics. Provide sufficient details so that the context is clear and also discuss if the example involves:
At one university, the distance to students' home is normally distributed with a mean of 200 miles and a standard deviation of 25 miles.
Determine the likelihood of accepting a lot which is 1% defective?
Examine the behaviour of 99% critical values for these degrees of freedom, and comment on the limits in this case.
A food snack manufacturer samples 13 bags of pretzels off the assembly line and weighs their contents. If the sample mean is 14.7 oz. and the sample standard deviation is 0.50 oz., find the 95% confidence interval of the true mean.
Find the test statistic value for two mean tests using equal variance formula.
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