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The diameter of a cylinder follows a normal distribution with the mean of 10cm and the variance of 0.04 cmz.
(a) Construct a Shewhart chart to monitor the process mean of cylinder diameter with a sample size 4? (Use L=3)
(b) If the mean of the process changes to 10.5 cm, what is the probability that you detect this mean shift at the immediate next sample (the ?rst sample after the mean shift)?
(c) Continue b), What is the probability of detecting this mean shift before plotting the 5th sample after the mean shift?
Find the temperature which is exceeded by the high tempature 90% of the days in august.
In a simple linear regression model, why are the predicted values of a response variable not necessarily the same as the observed values of a response variable?
a. What is the firm's total fixed cost in dollars? How do you know this?
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.
a. Which of the four categories has the most players?b. Which category has the fewest players?
Show a She what chart. Can you describe how you would use it? Show a Robert's chart. Can you explain how you would use it?
If the total of the accounts receivable is only $1,000,000 (but the standard deviation was correct), what is the probability the total of the sample would be less than $9,900.
The incarceration rate in one nation's prisons was 965 per 100,000 male residents, and 65 per 100,000 female residents.
Some studies show that people who think they are intoxicated will show signs of intoxication, even if they did not consume alcohol.
There high schools have senior classes of size 100, 400, and 500, respectively. Here are two schemes for selecting a student from among the three senior classes
You take a random sample around town and calculate a p-value for your hypothesis test of 0.0913. What is the appropriate conclusion? Conclude at the 5% level of significance.
(a) If you roll a dice 12 times what is the probability that you will roll two 6s? (b) If you roll a dice 12 times what is the probability that you will roll
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