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Let X1,..., Xn be a random sample from an N (μ, σ2) distribution. Show that the sample median, M, is an unbiased estimator of the population mean μ. Compare the variances of X and M. [Note: For the normal distribution, the mean, median, and mode all occur at the same location. Even though both X and M are unbiased, the reason we usually use the mean instead of the median as the estimator of μ is that X has a smaller variance than M.]
Explain how probability is used in that situation. Identify the type of probability your example best fits by explaining whether it is an independent event or dependent upon something else.
Following are the data collected. Should the head of the Bureau be concerned about the time taken at lunch by employees? Why?
a vertical line is drawn through a normal distribution at z -1.00. the line separates the distribution into two
The GMAT scores of MBA students is assumed to be distributed normally with a mean of 530 and a standard deviation of 80. The GMAT scores of ten students are selected randomly.
in the fall semester of 2011 48.1 of the students at a university were women. suppose that two students in the
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Various temperature measurements are recorded at different times for a particular day. the mean of 20 degrees C is obtained for 40 temperatures on 40 different days. Assuming that the standard deviation = 1.5 degree C, test the claim that the populat..
interpret a scatter diagram.1. describe the relationship between the hours each student of a school spends in after
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question as a region sales manager you are interested in testing if there is a difference in sales close rates between
Metal detectors at airports are used to determine whether passengers are carrying weapons. If the null hypothesis states that a passenger isn't carrying a weapon, a type I error would occur whenever
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