Question: QUEST ONE: The data below shows the Height of students in [cm] in a random sample of college students. Height of students in [cm]

The data below shows the Height of students in ( [mathrm{cm}] ) in a random sample of college students. Question: Use the

QUEST ONE: The data below shows the Height of students in [cm] in a random sample of college students. Height of students in [cm] 167 178 173 155 171 167 158 169 178 181 Z-score Question: Use the data to standardize and determine the Z-scores. Standardize the data and compute the following probabilities i. Calculate the probability of between Height 158 and 178 ii. Calculate the probability of Height above 178 liters iii. Calculate the probability of Height below 158 liters iv. Show that the total probability sums up to 1.0 v. State the characteristics of the normal distribution curve

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