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Suppose for the data set {y1, yz, .., 199), where yi> 0, for i = 1, 2, .., 99, we are given only the following
Suppose for the data set {y1, yz, .., 199), where yi> 0, for i = 1, 2, .., 99, we are given only the following information: the sample mean, y, the sample variance, $2 {the minimum, q(0.25), median, q(0.75), and maximum (also referred to as the five number summary)), the sample skewness, gi, and the sample kurtosis, gz. Consider the data set (U1, uz, ..., ugg}, where u; = log(y), for i = 1, 2, ..., 99. Which one of the following quantities can be determined from the given information? A) The sample mean of the data set (U1, Uz, ... U99}. B) The sample median of the data set (U1, U2, ..., Ugg}. C) The sample variance of the data set (U1, Uz, ..., U99}. D) The sample kurtosis of the data set (U1, Uz, ..., U99}. E) More than one of these can be determined. Suppose that you are told that the Interquartile Range (IQR) of a sample of n = 25 observations is 0. What can you say with absolute certainty about s, the sample standard deviation? AJ This doesn't tell us anything specific about s. s 1 D) S=0
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