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Researchers at a pharmaceutical company have found that the effective time duration of a safe dosage of a pain relief drug is normally distributed with mean 2 hours and standard deviation 0.3 hour. For a patient selected at random:
a) What is the probability that the drug will be effective for 2 hours or less?
b) What is the probability that the drug will be effective for 1 hour or less?
c) What is the probability that the drug will be effective for 3 hours or more?
Consider the following time plot of the values of variable Y for each month of a 60-month period. This plot displays
Dr Johnson wants to know if there is sufficient evidence to conclude that the grade distribution of his class is different than the historical grade distribution.
More than 13 successes in 19 trials with a 40 percent chance of success. (Round the answer to 4 decimal places.) Fewer than 7 successes in 15 trials with a 40 percent chance of success. (Round the answer to 4 decimal places.)
Does this sample indicate a smaller average? Use α = 0.05 and assume a normally distributed population.
To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments.
What proportion of time will it take clean-up crew 56 or more hours for cleaning plant? Define the lower and upper limits of interval.
At the .01 level of signiicance, is the true mean greater than 10?
Compute the probability of exactly 0,1,2,3,4, and 5 arrivals per day.
Then estimate demand again with a weighted moving average in which sales in the most recent year are given a weight of 2 and sales in the other two years are each given a weight of 1.
Does the normal distribution yield a good approximation of the actual results?
In a binomial distribution n = 8 and π = 0.2. Determine the probabilities of the following events.
What does r 2 of .73 tell us? Is this a strong or weak correlation? How can you tell?
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