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1. A large discount chain compares the performance of its credit managers in Ohio and Illinois by comparing the mean dollar amounts owed by customers with delinquent charge accounts in these two states. Two random samples of 10 delinquent accounts are selected from all delinquent accounts in Ohio and Illinois. The sample of Ohio gives a mean dollar amount of $524 with a standard deviation of $68. The second sample from Illinois yields a mean dollar amount of $473 with a standard deviation of $22. (i) Calculate a 95% confidence interval for the difference between the mean dollar amounts owed in Ohio and Illinois; (ii) Can we conclude at a 5% level of significance that there is a difference between the mean dollars owed by customers with delinquent charge accounts in Ohio and Illinois?
2. Professor Brunner had students in his Marketing class rate his performance as Excellent, Good, Fair or Poor. A graduate student collected the ratings and assured the students that Professor Brunner would not receive them until after the course grades had been submitted. The rating (i.e. the treatment) a student gave the professor was matched with his/her course grade, which could range from 0 to 100. The data is as follows:
Course Grades
Excellent Good Fair Poor
94 75 70 68
90 68 73 70
85 77 76 72
80 83 78 65
88 80 74
68 65
65
Is there a difference in the mean scores of the students in each of the four rating categories at a 99% confidence level?
If we select one box of cereal at random from this population, what is the probability that it will weigh less than 915 grams?
Also, the sample data appear to have a bell-shaped distribution. Construct the 95% confidence interval for the mean time spent on paperwork by all managers.
Your company has experienced problems with employee morale and productivity. The consultant that was hired submits a report that includes opinions and data collected from 300 secretaries and clerks as well as 75 senior managers.
Find the percentage of the total variation that cant explained by the linear relationship between the two variable.
A bag of jelly belly candies contains the following colored jelly beans: red (10), blue (2), orange (5), brown (21), green (0), and yellow (18). Construct the probability distribution for x.
Below are bowling scores for several UMUC statistics professors. Based on output from ANOVA, who is the better bowler (for those of you who don't bowl, a numerically higher score indicates a better score)?
Determine the proportion of variation in grade that can be explained by the linear correlation between the grade and the number of credit hours earned at the same time of taking the course.
Formulate the hypotheses that can be used to determine whether union membership increased in 2006.
What critical value should the company officials use to determine the rejection region?
Z score on comparison distribution for sample score and your conclusion. Suppose that all population are normally distributed.
They found that those with higher levels of cigarette use had lower GPAs, and vice versa. What can you rightfully conclude from this? Why? Be specific about what this kind of information may indicate and mean.
In a sample of 20 men, the mean height was 178 cm. In a sample of 30 women, the mean height was 164 cm. What was the mean height for both groups put together?
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