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Question: Quality control (2.2, 5.3, 6.3) Many manufacturing companies use statistical techniques to ensure that the products they make meet standards. One common way to do this is to take a random sample of products at regular intervals throughout the production shift. Assuming that the process is working properly, the mean measurement x¯ from a random sample varies according to a Normal distribution with mean mx¯ and standard deviation s x¯. For each question that follows, assume that the process is working properly
(a) What's the probability that at least one of the next two sample means will fall more than 2s- x from the target mean μx¯? Show your work.
(b) What's the probability that the first sample mean that is greater than μx¯ + 2σx¯ is the one from the fourth sample taken? Plant managers are trying to develop a criterion for determining when the process is not working properly. One idea they have is to look at the 5 most recent sample means. If at least 4 of the 5 fall outside the interval (μx¯ - σx¯, μx¯ + σx¯), they will conclude that the process isn't working.
(c) Find the probability that at least 4 of the 5 most recent sample means fall outside the interval, assuming the process is working properly. Is this a reasonable criterion? Explain.
a real estate agency wants to compare the appraised value of single-family homes in two travis county communities. a
Exercise 5 The best way to gain understanding of a sampling and estimation method is to carry it out on some real population of interest to you.
suppose there are 4 different bins labled a b c and d.in how many ways can 9 identical indistinguishable billard balls
The manufacturer wanted to determine if the tires were exceeding the guarantee. At the .05 significant level, it was concluded that the tires are exceeding the manufacturer's guarantee.
A course in computer graphics technology requires students to learn drawing concepts. This topic is traditionally taught using supplementary material.
If 900 users visited the site, would the probability that more than 250 of them click on an ad be higher or lower than the answer found in part
Factors correlated with job performance. Ladebo and Awotunde (2007) studied many factors possibly related to job performance, including work overload.
Your CEO notes that the recently published (HCUP) statistics show that the mean length of stay (LOS) for total knee replacement surgery (DRG 468) is 2.7 days for private insurance. Can you reject the null hypothesis with a single sample t-test (two..
Find an example of a poll based on a self-selected sample. Report the wording of the questions and the number who chose each response.
If the outcome is tails, you win nothing. Let X be the amount that you win in a single toss of a coin. Find the probability distribution of this random variable and its mean.
Construct a graph of the probability distribution of X. What is the probability that a child receives exactly three diagnostic services during and office visit to a pediatric specialist?
1.students at university x must be in one of the class ranks freshman sophomore junior or senior. at university x 35 of
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