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In an agricultural experiment, a large field of wheat was divided into many plots (each plot being 7 x 100 ft) and the yield of grain was measured for each plot. These plot yields followed approximately a normal distribution with mean 88 lb and SD 7 lb.
a) Find the probability that any one randomly selected plot yield is greater than 90 lb.b) For the five plots chosen at random, find the probability that at least 2 yield is greater than 90 lb.c) Let Y represent the mean yield rate of five plots chosen at random from the field, find Pr(Y >90).
Airlines monitor the causes of flights arriving late. 75% of flights are late because of weather, 35% of flights are late because of ground operations. 10% of flights are late because of weather and ground operations.
An industrial engineer at Lyons Products would like to determine whether there are more units produced on the afternoon shift than on the morning shift.
Mark makes it a policy not to buy bananas unless the price is 33 cents or less per pound. What proportion of the time would he buy bananas?
Give an example of a problem (business, political, scientific) in which ANOVA analysis would be appropriate. (Hint: the dependent variable is categorical, such as male vs. female or comparing three different types of fertilizer.)
There are 137 tickets in a hat and my name is on 3 of them. If someone draws 20 tickets out of the hat, what is the probability of my name being on one of those 20tickets.
Regression equation to predict the dependent variable using multiple regression analysis:
The Warren County Telephone Company claims in its annual report that "the typical customer spends $70 per month on local and long-distance service.
let X have one of the following distributions: if the prior probabilities are P(H0)= P(HA) which outcomes favor H0? What prior probabilities correspond to the decision rules with a= 0.2 and a =0.5
Compare and contrast the characteristics of parametric and non-parametric test methodologies. Give examples of when to use each.
How would I go about finding a 95% confidence interval for the population mean if a sample of size 20 has a mean of 18.2 and a sample standard deviation of 3.6?
Assuming the manufacturer's claim is true, what is the approximate probability of observing a sample mean of 52 months or less?
A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard dev..
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