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Education and Child Development
A Harris Interactive Poll for Tylenol PM indicated that 8% of American students have missed a test because they overslept. Suppose officials at a state college decide to apply a new academic policy regarding exams. If a student arrives late for a test, then the student receives a 0 for the test and cannot take a make-up test at a later time.
a. What hypotheses should be tested, in terms of p, the true proportion of students who have missed a test because they overslept, in order for college officials to prove that the new academic policy is causing fewer students to be late for exams?
b. Which error, type I or type II, is more serious for college officials? Why?
c. Which error, type I or type II, is more serious for students? Why?
Describe the steps of benchmarking relative to a company that develops microchips. What is the role of top management in this process?
Let X1, X2, . . . , Xn be independent, continuous random variables with common distribution function F(x), and consider the order statistic (X(1), X(2), . . . , X(n)). Compute E(F (X(n)) - F (X(1))).
A random sample of 8 recent batches produced the following yields. Conduct a hypothesis test to determine whether the true mean yield has decreased.
The passing grade such that the probability of passing a student who guesses on every question is less than 0.10. What score should be set as the lowest passing grade?
They would like the margin of error of the 95% confidence interval for the proportion to be 0.05 or less. Use the guessed value p = 0.25 to find the required sample size.
a game charges 1 to play and pays 4 if a card drawn from the deck is a face card jack queen or king if not the player
Clearly a straight line model does not accurately describe what is going on with this data. Does this mean there is no relationship between income and time?
Suppose that P, the price of a certain commodity (in dollars), and S, its total sales (in 10,000 units), are random variables whose joint probability distribution can be approximated closely with the joint probability density
Convert Alisha's grandmother's score to a z score among the distribution of exercise capacity in Americans over seventy years old. Who has a relatively longer exercise capacity compared to her peers-Alisha or her grandmother?
A group of 12 patients are given the medicine. If the claim is true, what is the probability that 8 have relief in a few minutes?
A machine fills containers with a mean weight per container of 16oz. If no more than 5% of the containers are to weigh less than 15.8oz, what must the standard deviation of weights equal?
News reports claimed this study proved that swimming can prevent depression. Explain why this conclusion is not justified by the study. Include an example of a possible confounding variable.
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