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An automatic grinding machine in an auto parts plant prepares axles with a target diameter μ = 40.15 millimeters (mm). The machine has some variability, so the standard deviation of the diameters is σ = 0.02 mm. A sample of 9 axles is inspected each hour for process control purposes, and records are kept of the sample mean diameter. If the process mean is exactly equal to the target value, what will be the mean and standard deviation of the numbers recorded?μx =σx =
Averages are less variable than individual observations. Suppose that the axle diameters vary according to a normal distribution. In that case, the mean x of an SRS of axles also has a normal distribution. What is the probability that the diameter of a single randomly chosen axle differs from the target value by 0.01 mm or more (in either direction)?
What is the probability that the mean diameter of an SRS of 9 axles differs from the target value by 0.01 mm or more (in either direction)?
Can one conclude at a level of significance of .01 that the new ball has improved his game?
A researcher plans to compare two treatment conditions by measuring one sample in treatment 1 and a second sample in treatment 2. The researcher will then compare the scores for the two treatments. If there is a difference between the two groups o..
The chief of security for the Mall of the Dakotas was directed to study the problem of missing goods. He selected a sample of 100 boxes that had been tampered with and ascertained that for 60 of the boxes
A company has established a goal of processing 95 percent of its orders on the same date of receipt. However, only 485 out of 500 orders were actually processed on the same day
What is the probability of obtaining 4 ones in a row when rolling a fair, six-sided die? Interpret this probability.
Industry standards suggest that 13 percent of new vehicles require warranty service within the first year. Compute the mean and standard deviation of this probability distribution.
A tire company made a sampling distribution on one of its brands of tires and determined that the tire had a mean life of 56,000 miles with a standard deviation of 18,100 miles.
An insurance company states that 90% of its claims are settled within 5 weeks. A consumer group selected a random sample of 100 of the company's claims and found 75 of the claims were settled within 5 weeks.
If the sports report begins at 11:10, what is the probability that he misses part of the report if he waits until grading is done before turning on the TV?
Mr. Connors philosophy class has 99 students, classified by academic year and gender, as illustrated in the table below. Mr. Connor randomly chooses one student to collect yesterday's work. What is the probability that he selects a male, given tha..
The following frequency table determine the ages of 100 shoppers at the local grocery store. Compute the sample mean for this data (mean for the grouped data).
He is equally likely to select any. Billy leaves last and takes the one remaining hat. Let x be the number of cowboys who end up with the correct hat.
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