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Heights of men on a baseball team have a bell-shaped distribution with a mean of 181 cm181 cm and a standard deviation of 8 cm8 cm. Using the empirical rule, what is the approximate percentage of the men between the following values?
a. 165165 cm and 197197 cm
b. 173173 cm and 189189 cm
Is this statistically significant evidence that the true mean diameter is greater than 20 millimeters? Set up the hypothesis, and enter your P-value below, rounded to four decimal places.
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