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Manufacturing and Product Development
The quality of a kitchen knife is often measured by the sharpness and total lifetime of the blade. One test for sharpness involves mounting the knife with the blade vertical and lowering a specially designed pack of paper onto the blade. The sharpness is measured by the depth of the cut. A greater depth indicates a sharper knife. Suppose the depth of the cut for a randomly selected knife has a normal distribution with mean 92 mm and standard deviation 21 mm.
a. What is the probability that a randomly selected kitchen knife has a sharpness measure less than 75 mm?
b. A kitchen knife with a sharpness measure of at least 100 mm qualifies as a steak knife. What proportion of kitchen knives are steak knives?
c. The Kitchen Gadgets Association would like to set a maximum sharpness for butter knives. Find a value c such that 15% of all knives have sharpness less than c.
d. Suppose a randomly selected kitchen knife has sharpness greater than 90 mm. What is the probability that it has sharpness greater than 100 mm?
Test hypothesis that two processes have identical fractions nonconforming. Use a = 0.05. Create 90% confidence interval on difference in fraction nonconforming between two processes.
Suppose these means were based on a random sample of 100 homes in 1997 and 150 homes in 1998 and that the sample standard deviations of sale prices were $21,000 for 2000 and $23,000 for 2001. Find a 98% con?dence interval for the difference in the ..
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A population of scores forms a normal distribution with a mean of 40 and a standard deviation of 12. What is the probability of randomly selecting a score less than x=34?
the table below displays data the first bank of silverhaven fbs has collected on the personal savings accounts of its
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consider the following experiment flip a coin. if you obtain heads roll a die. if you obtain tails draw a ball from a
Construct a bar and pie chart to graphically display these data by using Microsoft excel.
fifty percent of households say that they would feel secure if they had 50000 in savings. you randomly select 8
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A bulb is selected at random from the storage room and tested.Find the probability that the bulb was produced by machine C given that it was still operating after 16 days.
Use these two variables to answer the following questions: Depression and Drug Use.
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