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Brake Pads- A brake pad manufacturer claims its brake pads will last for 38,000 miles. You work for a consumer protection agency and you are testing this manufacturer's brake pads. Assume the life spans of the brake pads are normally distributed. You randomly select 50 brake pads. In your tests, the mean life of the brake pads is 37,000 miles. Assume the standard deviation is 850 miles.
a) Assuming the manufacturer's claim is correct, what is the probability that the mean of the sample is 37,000 miles or less?
b) Using your answer from part (a), what do you think of the manufacturer's claim?
c) Would it be unusual to have an individual brake pad last for 37,000 miles? Why of why not?
The time until a component is taken out of service is uniformly distributed on 0 to 8 hours. Two such independent components are put in series, and the whole system goes down when one of the components goes down.
Compute the two groups using Paired sample t-test. Compute which modification reduced the number of traffic accidents
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The time spent by a factory worker A packing a box is a random variable with mean 3.5 minutes and standard deviation 1 minute. The times spent packing any two boxes are independent.
Aggregate the opinions of the experts by computing the minimum, maximum, 25 th percentile, 50 th percentile, and 75 th percentile values.
Construct a 94% confidence interval for the true mean fill volume for all jugs of softener.
The first unit produced after the calibration effort to be found to be defective. What is the probability that machine is in adjustment?
Construct a 95% confidence interval for the difference in the proportions of women and men who have regular exercise programs.
The average speed of greyhound dogs is about 18.8 meters per second. A particular greyhound breeder claims that her dogs are faster than the average greyhound. In a sample of 45 dogs, they ran, on average, 19.2 meters per second with a standard de..
Solution utilizing graphical method. Compute the following linear programming problem. Among which of the following points (X, Y) is not a feasible corner point.
This is an Excel sheet that calculates both probabilities and percentiles for any normal or standard normal probability distribution. Replaces normal probability tables.
Suppose you are traveling on business to a foreign country for the first time. You do not have a bus schedule or a watch with you. However, you have been told that buses stop in front of your hotel every 20 minutes throughout the day. If you show ..
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