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A manufacturer of diamond drill bits for industrial production drilling and machining wishes to investigate the length of time a drill bit will last while drilling carbon steel. The production of the drill bits is very expensive, thus the number available for testing is small. A sample of 8 drill bits had a mean drilling time of 2.25 hours with a standard deviation of 0.5 hours. Is it reasonable for the manufacturer to claim that the drill bits will last 2.5 hours?
Identify the sampling distribution to be used: the standard normal distribution or the Student's t distribution. Find the critical value(s).
Utilizing a binominal experiment, that is each trail can be reduced to two outcomes, construct a binomial distribution.
Construct an appropriate control chart and comment on the process.
Assume that 60 percent of the voters in a particular region support a candidate. Find the probability that a sample of 1,000 voters will yield a sample proportion in favor of the candidate within 4 percentage points of the actual proportion.
Determine the probability of having more than 3 defects in a roll?
We assume that the population is approximately normally distributed. Find the confidence interval: for a confidence level of 95%:
A study group of long distance phone calls made from the corporate offices of Pepsi Bottling Group, Inc., in Somers, New York, revealed the length of the calls, in minutes, follows normal probability distribution.
It has been claimed that women live longer than men; however, men tend to be older than their wives. Ages of sixteen husbands and wives from England were obtained. These data should be analyzed with a
The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages.
Real estate agents always say "location, location, location" is the most important thing in buying a house. We want to know if the sales prices of homes in two neighborhoods are similar. A random sample is taken from each neighborhood. The prices ..
Given the following data, calculate the EMV for each investment alternative. Which is best based on the EMVs you calculated?
The population of lengths of aluminium-coated steel sheets is normally distributed with a mean of 30.05 inches and a standard deviation of 0.2 inches.
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