Consider a population with a bell shaped distribution with a mean of

Consider a population with a bell shaped distribution with

with a bell shaped distribution with a mean of and standard deviation of

Consider a population with a bell shaped

distribution with a mean of and standard deviation of

Consider a population with a bell

Consider a population

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Paper instructions

Consider a population with a bell-shaped distribution with a mean of 300 and standard deviation of 30.
a. Draw the distribution on the curve below including values in the scale for one, two, and three standard deviations from the mean.
b. Compute the z-scores for the following values of X and locate each on the graph.
X
Z-score
200
360
220
270
300
c. According to the Empirical rule what percent of the data should be between 270 and 330? Between 240 and 360?
d. According to Chebyshev what percent should be between 240 and 360?
e. Why is the z-score of the mean zero?
F. A student scores 33 on an English test that has a mean of 28 and a standard deviation of 5. He scores a 27 on a math test that has a mean of 25 and a standard deviation of 2. Which score is higher and why?

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Consider a population with a bell-shaped distribution with a mean of 300 and standard deviation of 30.

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