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Aspirin, a longtime antidote for the side effects of drinking alcohol, may actually enhance alcohol's effect. In a report published in the Journal of the American Medical Association, researchers found that aspirin lowered the body's ability to break down alcohol in the stomach. Volunteers were used to test the effect of aspirin on alcohol. Each of the 35 volunteers came to the research center twice. Once they ate a standard breakfast and drank 2 glasses of wine. Another time they ate a standard breakfast, drank 2 glasses of wine and took 2 extra-strength aspirin tablets. The mean difference (with aspirin - without aspirin) in their blood alcohol levels was 0.02 with a standard deviation of 0.04. The researchers want to determine if aspirin causes an increase in the mean difference in blood alcohol levels for volunteers like these.
(a) What additional information would you need to confirm that the conditions for this test have been met?
(b) Assume the conditions have been met. Calculate the standardized test statistic and P-value for this test.
(c) Interpret the P-value and draw the appropriate conclusion at the α = 0.05 significance level.
(d) Given your conclusion in part (c), which type of error, type I or type II, could you have made? Describe that error in the context of this study.
Armin's wonderful parents established a college savings plan for him when he was born. They deposited $63 into the account on the last day of each month.
A street performer approaches you to make a bet. He shows you three cards: one that is blue on both sides, one that is orange on both sides, and one that is blue on one side and orange on the other.
estimate the critical value of t for a 99 confidence interval with degrees of freedom df equal to
How many positive integers less than 211 are relatively prime to 126?
Y2K Inc. has estimated that half of their twenty workers will be injured in the coming year. The expected severity per occurrence is $1,000. What is the expected loss per exposure?
At the 0.01 significance level, can we conclude that the mean number of patients per day is more than 25? Estimate the p-value and interpret it.
The resulting list of twenty values has a mean of 4.4 and a standard deviation of 4.2. Construct a 99% confidence interval to estimate the difference between the mothers and fathers.
A Diffusion Model - Model the diffusion of electrons and holes across a potential barrier in an electronic device as follows. - Find the transition probabilities,.
Write a MATLAB program to estimate this probability through Monte Carlo simulation techniques.- provide the estimate of the desired probability.
does the use of cell phones lead to a higher incidence of brain cancer? people with brain cancer were matched with
Write down all 8 arrangements of the sexes of three children. What is the probability of any one of these arrangements?
What does this theorem allow you to do that traditional statistics do not? What are some prerequisites for using Bayesian statistics?
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