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An engineer was interested in comparing the variability of the power of a laser at current levels of 16 amps (X) and 20 amps (Y). To do so, random samples of 25 observations of power readings were obtained at each current level. The samples were taken in such a manner that independence could be assumed. Sample variances of 0.012 and 0.020 were obtained for X and Y, respectively. That is, the sample observations resulted in sX2 =0.012 and sY2 =0.020 . Also, the data indicated that the sampled populations were normally distributed. a. Find a 95% confidence interval for the variance of X, ?X2 . b. Find a 95% confidence interval for the variance of Y, ?Y2 . c. Find a 95% confidence interval for the ratio of the variances of X and Y, ?X2 / ?Y2 . d. Can you conclude that the respective variances of power at each of the two current levels may be the same? Are your results for parts a, b and c consistent. Explain your answer fully.
Let A, B, C be three events such that P(A) = 0:5, P(B) = 0:6, P(C) = 0:8(a) Can any two of these events be mutually exclusive? Explain your conclusion
A study report in Journal of Small Business Management (1977) concluded that self-employed individuals experience higher job stress than individuals who are not self employed.
Compute the Kappa statistic and its standard error regarding reproducibility of the diagnosis of dyspnea in the clinic.
What is the difference between the mean of the two groups? What is the difference in the standard deviation?
What is the value of the sample test statistic? (Test the difference p1 - p2. Do not use rounded values. Round your final answer to two decimal places.)
What is the 95% confidence interval for the true mean length of the bolt? Assume a normal population distribution.
If you have n independent flips of a coin with probability p of landing heads. And a changeover occurs whenever an outcome differs from the one preceding it.
test the hypothesis that the intake of linoleic acid in this group is lower than that of the general population. Also, compute a p-value for the hypothesis test.
Biting an unpopped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the unpopped kernels were counted. There were 86. a) Construct a 90 ..
The probability that a bomber hits a target on a bombing mission is 0.700. Three bombers are sent to bomb a particular target.
There are two boxes, Box A and Box B. Box A has 40 tags with the number 1, 50 tags with the number 10, and 10 tags with the number 100. Box B has 40 tags with the number 100, 50 tags with the number 10, and 10 tags with the number 1.
The mean score on a standardized psychology test is supposed to be 50. Believing that a group of psychologists will score higher, we test a random sample of 11 psychologists.
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