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The amount of syrup that people put on their pancakes is normally distributed with mean 56 mL
and standard deviation 11 mL. Suppose that 42 randomly selected people are observed pouring
syrup on their pancakes. Round all answers to 4 decimal places where possible.
a. What is the distribution of X? X~ N (,)
b. What is the distribution of x-bar?
c. If a single randomly selected individual is observed, find the probability that this person
consumes is between 54.8 mL and 56.6 mL.
d. For the group of 42 pancake eaters, find the probability that the average amount of syrup is
between 54.8 mL and 56.6 mL.
e. For part d), is the assumption that the distribution is normal necessary? O Yes or No
