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A tire manufacturer has advertised that only 2% of its tires have surface blemishes. Further, the manufacturer argues that tires with such blemishes are perfectly safe, and with only the physical appearance suffering very slightly. A consumer magazine randomly purchases 40 of the tires for an upcoming tire performance comparison report. Upon examining the tires, the magazine's test engineers find that 5 of them have surface blemishes.
If it were true that just 2% of the tires produced have surface blemishes, what would be the probability of getting 5 or more with such blemishes in a random sample of 40 tires?
Considering this probability, comment on the believability of the tire manufacturer's advertising claim.
a specific automotive part that a service station stocks in its inventory has an 8 chance of being defective. suppose
The special case of the gamma distribution in which a is a positive integer n is called an Erlang distribution. If we replace b by 1/l in Expression (4.8), the Erlang pdf is
IQ scores have a mean of 100 and a standard deviation of 16. Albert Einstein reportedly had an IQ of 160. a. What is the difference between Einsteins IQ and the mean?
suppose that the annual rate of return for a common biotechnology stock is normally distributed with a mean of 5 and a
A random sample of 25 statistics examinations was taken. The average score in the sample was 76 with a variance of 144. Assuming the scores are normally distributed, the 99% confidence interval for the population average examination score is:
Study the table and find an equation that relates the Average SSD to VARP and the Offset.- Using the equation you found in part 1, prove that the Average SSD(Target) is minimized when the target equals the process mean.
(a) Construct a histogram for the data and describe its properties. (b) Construct a runs chart for the data. (c) Write a brief summary of the two data displays contrasting the infor mation gained by each plot.
Five hypotheses are to be tested using five independent test statistics. A common significance level (size) for each test is desired which ensured that the probability of rejecting at least one hypothesis is 0.4, when all five hypothesise are true..
A student wanted to study the ages of couples applying for marriage licenses in his county. He studied a sample of 94 marriage licenses and found that in 67 cases the husband was older than the wife.
Refer to the sample data for pre-employment drug screening shown below. If one of the subjects is randomly selected, what is the probability that the test results is a false positive? Who would suffer from a false positive result? Why?
the man m weighs 150 lb and jumps onto the boat b which has a weigh of 200 lb. if he has a horizontal component of
Millie and Senta Meter have recently taken Pre and Post test in achievement. The test were normally distributed. Millie's percentile rank changed from 57.93 to 77.34. Senta's changed from 1.07 to 4.95.
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