Find a range of values
On a certain examination the average score is 53 and the standard deviation is 6. Find a range of values within which at least 75% of the scores will fall.
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Suppose a fast food restaurant wishes to estimate average sales volume for a new menu item. The restaurant has analyzed the sales of the items at a similar outlet and observed the following results:
Determine the mean, variance and standard deviation of Y in terms of the mean and variance of X (with E[X] = 5 and var(X) = 9), where Y = X - E[X].
let I_a be an indicator function of A. show that the indicator of A compliment is 1- indicator of A.
In our example of research on lipstick, where E = $2 and S = $29, what sample size would we require if we desired a 99 percent confidence level? What about if we keep the 95 percent confidence level, but decide that our acceptable error is $4?
Assume that 1cm^3 contains 25 drops of water. Remember that this is an order-of-magnitude problem.How many drops of water are in all the oceans on earth?
The sample mean is 12, and the population standard deviation is 3. Conduct the following test of hypothesis using the .02 significance level.
Explain in key words what the fundamental difference is between the water circulation in the ocean and in a large and deep freshwater lake
Find the sample size required to estimate the mean age of registered drivers in the United States. Assume that we want 95% confidence that the sample mean is within ½ year.
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