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Comparison of paired and unpaired samples test.
A local voluntary organization affiliated to the Citizens Advice Bureau offers free financial advice to residents in the area who are registered debtors. In order to see how effective the service is, 15 randomly selected clients were monitored and their initial debts, and those after 6 months of counselling were recorded. These data are exhibited in table. You may assume that initial debts and those after 6 months of counselling are both normally distributed and have equal variances.
Identify which of the two tests (Independent samples and Paired samples) test is the preferred test and justify your choice.
Initial debt
Debt after 6 months
5865.9
5681.4
6911.4
6382.5
8325.9
7895.4
9297.6
9580.5
9113.1
7907.7
8252.1
8301.3
7034.4
7083.6
10478.4
10220.1
7624.8
9715.8
9137.7
7784.7
7920.0
10503.0
10097.1
8461.2
8535.0
8227.5
9997.0
9991.0
Be sure to show whether you use the t- or z- value, and what value you use. Interpret the confidence interval in a single sentence. In another sentence, state why you used either the "t" or the "z".
Assume you are the manager of a paint manufacturing factory. Your company has received complaints from customers that the containers hold less than the amount printed on them.
Why is estimating a multiple regression model just as easy as bivariate regression?
The samples do indicate that university A's students are younger than university B's; but is the difference significant at the 1% level?
Adult men have weights that are normally distributed with a mean of 172 lb and a standard deviation of 29 lb. Find the probability that the mean weight of the men in the sample is between 170 and 175 lb.
Joe thinks that no more than 20% of students in his Statistics class will get an A in the final examination. To prove his claim, he takes a random sample of 35 students and finds to his surprise that 30% of students got an A.
Let S = {c, h, j, q, t, y} be a sample space of an experiment and let E = {c, h}, F = {c, q, y}, and G = {h, j, t} be events of this experiment. (Enter your answers using roster notation. Enter Ø for the empty set.)
Hits on a personal web site occur quite infrequently. They occur randomly and independently with an average of five per week.
In order to estimate the average time spent on the computer terminals per student at a local university, data were collected for a sample of 81 business students over a one week period.
Using the telephone numbers listed in your local directory as your population, randomly obtain 20 samples of size 3. From each telephone number identified as a source, take the fourth, fifth, and sixth digits.
If Ashley Company accounts for the investment as a minority, passive and classifies the investment as an available-for-sale investment, Ashley will recognize what amount of 2010 income from the investment?
Do these data provide sufficient evidence to reject the claim made by Creative Good? Two sample F-test for the ratio of population variances
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