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Question - Two-sample t test versus matched pairs t test. Consider the following data set. The data were actually collected in pairs, and each row represents a pair.
(a) Suppose that we ignore the fact that the data were collected in pairs and mistakenly treat this as a two-sample problem. Compute the sample mean and variance for each group. Then compute the two-sample t statistic, degrees of freedom, and P-value.
(b) Now analyze the data in the proper way. Compute the sample mean and variance of the differences. Then compute the t statistic, degrees of freedom, and P-value.
(c) Describe the differences in the two test results.
a tube of listerine tartar control toothpaste contains 4.2 ounces. as people use the toothpaste the amount remaining in
Provide a 95% confidence interval for the true proportion of residents in this neighborhood who would be interested in purchasing organic coffee.
The food service operation requires an average of 2 minutes per customer order.
reconsider the previous problem about the age of a college students mother when the student was born. now suppose you
a random sample of 5 homes in newberry florida had a mean of 169900 and a standard deviation of 21756. construct a 95
Professors at a local university earn an average salary of $80000 with a standard deviation of $6000. The salary distribution is approximately bell-shaped. What can be said about the percentage of salaries that are at least $74,000
Construct a 95 percent confidence interval for the true mean. (b) Why might normality be an issue here? (c) What sample size would be needed to obtain an error of ±10 square millimeters.
There is a throwing accuracy game in which a velcro board is hung on the wall (see Figure) and players throw small prickly balls that stick on the board.
Ethics. The one-time fling! Have you ever purchased an article of clothing (dress, sports, jackets, etc.) worn the item once to a party, then returned the purchase?
(a) Write out the probability distribution function of X. (b) Compute the probability that an even number is rolled. (c) Compute the expectation and variance of X.
Three coins are tossed simultaneously, consider the event E "Three heads or three tails" F " At least two heads" and G "Atmost two heads " of the pairs (E,F), (E,G) and (F,G), which are independent? Which are dependent?
Formulate a model that can use to estimate with the data that you described. Note: You can refer to the article on the topic in the course reader.
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