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A salesman who is on the road visiting clients thinks that, on average, he drives the same distance each day of the week. He keeps track of his mileage for several weeks and discovers that he averages 122 miles on Mondays, 203 miles on Tuesdays, 176 miles on Wednesdays, 181 miles on Thursdays, and 108 miles on Fridays.
He wonders if this evidence contradicts his belief in a uniform distribution of miles across the days of the week. Explain why it is not appropriate to test his hypothesis using the chi-square goodness-of-fit χ2 test.
If the process mean is not significantly different from the target value, it is also desirable for the average run length to be 300. Find the parameters of an appropriate V-mask.
Random samples of five hundred units that were selected daily from a manufacturing process produced an overall defective rate of 3.5%. Calculate the lower and upper control limits for a percentage control chart.
Four different assembly processes were under consideration. Sixteen workers were randomly assigned to the four processes, eight per process. The number of correctly assembled units in an eight-hour work shift was recorded:
Assume that we randomly select 15 teachers who have recently left their profession. Find the probability that at least 6 of them were laid off.
Using the data in table 2 of Schneider et al, estimate the probability that a respondent with the following characteristics will be a PTA member:
Is the chi-square distribution is a skewed distribution whose mean value is n for degrees of freedom larger than two?
(a) Construct an ogive for the reaction times given in Exercise 116. (b) Construct an ogive representing the cumulative percentage distribution.
What is the difference between a qualitative variable and a quantitative variable? When would each be appropriate?
supersonic wind tunnels store air under high pressure in cylindrical pressure vessels - the pressure when released
Critical key-entry errors in the data processing operation of a large district bank occur approximately .1% of the time. If a random sample of 10,000 entries is examined, determine the expected number of errors.
Show that ( f dµ is well-defined and if ( 1 fn - g1 dµ → 0, then ( fn dµ converge to an element of S depending only on g, which will be called ( g dµ (Bochner integral).
If the suspect was selected from a group of suspects of which only 5 percent are guilty of having committed a crime, and the serum indicates that the suspect is guilty of having committed a crime, what is the probability that the suspect is innoce..
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