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A bus arrives at a bus stop at a uniformly distributed time over the interval 0 to 1 hour. A passenger also arrives at the bus stop at a uniformly distributed time over the interval 0 to 1 hour. Assume that the arrival times of the bus and passenger are independent of one another and that the passenger will wait for up to 1/4 hour for the bus to arrive. What is the probability that the passenger will catch the bus? [Hint: Let Y1 denote the bus arrival time and Y2 the passenger arrival time; determine the joint density of Y1 and Y2 and find P(Y2 ≤ Y1 ≤ Y2 + 1/4).]
The following data were obtained from an independent measures research study comparing three treatment conditions. Use an ANOVA with alpha=.05 to determine whether there are any significant mean differences among the treatments.
Determine whether the difference in proportions is significant at the 0.05 level.
Construct the 95% confidence interval estimate of the mean number of migraine attacks for those treated with acupuncture.
The difference between expected payoff under certainity and expected value of the best act without certainity is the expected:
The heights of children 2 years old are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches. Pediatricians regularly measure the heights of toddlers to determine whether there is a problem.
The effectiveness of treating respiratory infections with herbal remedies was studied. "Days of fever" was used to measure effects. Among 356 children treated with herbal remedies, teh mean number of days with was 0.36,
There are 25 students in a probability class. Assume that there are 365 days in each year, and that the birthrate is constant throughout the year.
Suppose that the lives of all such bulbs have a normal distribution with a mean of 750 hours and a standard deviation of 55 hours. Let x (sample mean) be the mean life of range sample of 25 such bulbs.
The following data represent the cost of electricity for the period of July 2008 for a random sample of 50 one-bedroom apartments in a large city.
A researcher wished to estimate the number of households with two cars. How large a sample is needed in order to be 95% confident that the sample proportion will not differ from the true proportion by more than 4%.
Can we conclude that there is a positive association between the size of the home and the selling price? Use the .05 significance level.
Following a lognormal distribution with a mean of 3000 rpm and std deviation of 0.87, what if the boss want a 5% chance of HW failure before selling, how often would I have to replace this hardware ?
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