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Assume that a normal model with a mean 263 days and standard deviation can describe the duration of human pregnancies 12 days.
a. What percentage of pregnancies should last between 265 and 270 days?b. At least how many days should the longest 30% of all pregnancies last?C. Suppose a certain obstetrician is currently providing prenatal care to 30 pregnant women. What is the probability that the mean duration of these patients' pregnancies will be less than 261 days?
Set up hypotheses to test if distribution of birthdays can be considered coming from uniform distribution.
For machine gun ammunition to be acceptable, the US Army requires that 96 percent of rounds fired hit a specified target. The test is to fire a 50 round burst at the target and observe whether this condition is met.
Find an unbiased estimator of mp(1 - p)/n. Find the optimal estimator using the Rao-Blackwell Theorem.
Compute a 95% confidence interval for the population mean, based on the sample 1, 2, 3, 4, 5, 6, and 30. Change the number from 30 to 10 and recalculate the confidence interval.
Find the probability that a standard normal random variable will assume a value between: Find a z such that 70% of the area is above that value.
From an urn containing balls, a ball was drawn, weighted and replaced. This experiment was repeated 5 times. what is the standard error of sample mean?
Carry out t test and find out whether or not demand and unit price are related. Let a=.05. Carry out an F test and find out whether or not demand and unit price are related.
Assume the probability of a tire blowout is 0.102% per 50,000 miles of use and that a person travels 13,000 miles per year in a car. Assume that the probability of loss of control is 30% if the blowout occurs on the front tires and 15% for the rea..
What percentage of the averages or medians of the sample will be greater than 140 seconds?
The industry standard suggests that 10% of new vehicles require warranty service within the first year. Jones Nissan in Sumter, South California, sold 12 Nissans yesterday. What is the probability that none of these vehicles require warranty servic..
One of the 4 bus drivers is also randomly selected. Let Y denote the number of students on his bus. Compute the expectations and variances of X and Y?
A sample is taken prior to a major election of likely voters. The null hypothesis is that the votes will be split 50/50. One candidate gets 54% of the support in the sample and the p-value for this sample is calculated to be 0.12.
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