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Wasserman (1989) studied a process for the manufacturing of steel bolts. Historically, these bolts have a mean thickness of 10.0 mm and a standard deviation of 1.6 mm. In a quality check the engineer has a sample of 5 randomly selected and measured.
Assuming a near normal distribution what are the mean and standard deviation of the sample mean of these quality checks?
A recent sample of five wafers yielded a sample mean of 10.4 mm. Find the probability of observing such a mean of something larger based on the historic mean and standard deviation.
90% of the means taken from samples of 5 should be smaller than what value?
What is the probability that she never misses in 10 shots? there are exactly 8 bulls eyes in 10 shots? there are no more that 8 bulls eyes in 10 shots? she gets atleast one bulls eye?
Standard deviation of $5,000. What is the lowest salary for those individuals with an MBA degree whose starting salary is in the top 10 percent?
Using a three month moving average, what would the forecast and MAD have been for July? Which forecasting method would you recommend? Why?
Use rejection points and previously given sample information to test the hypothesis you set up in part a by setting alpha equal to 010, .05, .01, and .001.
There are infinitely many primes of the form n^2 - 1. Please list at least 4 of these primes. (I hope it is just as easy as I think, but is there any work to this?)
Plot CEO salaries against the net profit of their respective companies, do you expect to find a linear correlation between the two?
An instructor claims the average time to take a statistics test is greater than 39 min. As, if a sample of 33 students took 43 min. is the instructor's claim true?
A person decides to take a telephone survey of 40 families in the 721-exchange area (sometimes referred to as prefix). You want an excellent representation of all subscribers in the exchange area.
A person asks, "what do you think is the ideal number of children for a family to have?" The 497 females who responded had a median of 2, mean of 3.02, and a standard deviation of 1.81.
Assuming both assertions are correcting and assuming normal distributions, which review book is more likely to result in an SAT gain over 60 points?
a sample of 40 ovservations is selected from one population. the sample mean is 102 and the sample standard deviation
The weight of a .5 cubic yard bag of landscape mulch in uniformly distributed over the interval from 38.5 to 41.5 pounds. Give a mathematical expression for the probability density function.
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