Determine mean-variance and standard deviation of mean
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].
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A new standarized distribution of m=100 and deviation = 20 find the new standarized score for each of the following values from the original population.
In an experiment involving matched pairs, a sample of 13 pairs of observations is collected. The degree of freedom for the t statistic is 11.
The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level. Compute the value of the test statistic.
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:
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?
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.
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?
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