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Inspection of student data generated during pre/post treatment surveys shows that among 10 subjects, 7 had higher scores after an experimental treatment, 2 had lower scores, and 1 score did not change. Using the traditional method of hypothesis testing, we need to determine if the experimental course has any effect. Use an alpha level of .01. If the computed test statistic is 2.36, what is the critical value (2 decimal places of significance, and did the experimental course make a difference (Yes or No))?
Students at the University of Arkansas randomly selected 217 student cars and found that they had ages with a mean of 7.89 years and a standard deviation of 3.67 years. They also randomly selected 152 faculty cars and found that they had ages with a mean of 5.99 years and a standard deviation of 3.65 years. Use a 0.01 significance level to test the claim that student cars are older than faculty cars. What are the critical value (3 places of significance) and t score (2 places of significance)? Are student cars older (Yes or No)?
A U.S. Department of Justice report included the claim that "in spouse murder cases, wife defendants were less likely to be convicted than husband defendants." Sample data consisted of 277 convictions among 318 husband defendants and 155 convictions among 222 wife defendants. Test the stated claim. Assume Aplha = 0.05. What are the Critical value and z score, each to two decimal places of precision? Do you reject the null hypothesis (Yes or No)?
What is the explained return on an equally weighted portfolio of these three stocks? What is the variance of a portfolio invested 20 percent each in A and B and 40 percent in C?
Describe the difference in the fit provided by the two estimated regression equations.
What is the difference between a sample and a population? When can the same information (e.g. the age of each of the ten students in our class) be considered both sample data and population data?
In a goodness-of-fit test where the sample size is 200, there are 5 categories, and the significant level in .05. The critical value of X2 is.
Given a binomial distribution with n=29 and p=0.83, would the normal distribution provide a reasonable approximation? Why or why not.
The probabilities that an automobile salesperson will sell 0, 1, 2, or 3 cars on any given day in February are, respectively, 0.19, 0.38, 0.29, and 0.15.
A meat processing plant has processed an average of 100 tons per day for the last several years. Newer processing machines have been installed recently.
Show some work for each part. A diagram can be helpful. A survey of adults found the following: 65 percent of the adults drink coffee. 35 percent drink tea. 80 percent drink coffee or tea (or both). If we choose a surveyed adult at random, find t..
Describe what do you mean by conditional probability. Give clinical example to support the explanation.
Upon reviewing the accounting records from the restaurant, you discover that it grosses roughly $3000 per day on 6 out of 10 days. Determine the estimated probability that the restaurant will gross over $3000:
Microfracture knee surgery has a 75% chance of success on patients with degenerative knees. The surgery is performed on 5 patients. Find the probability of the surgery being successful on less than 3.
A hypothesis test is to be used to help determine if there is a difference between the proportion of 2 year college students and private university students that work at least 20 hours per week.
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