The amount of syrup that people put on their pancakes is normally distributed with mean 56 mL and standard deviation 12 mL. Suppose that 45 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( 56 7. 12 b. What is the distribution of ? N( 56 1.7889 ✓ c. If a single randomly selected individual is observed, find the probability that this person consumes between 56.6 mL and 57.8 mL. d. For the group of 45 pancake eaters, find the probability that the average amount of syrup is betwe 56.6 mL and 57.8 mL. e. For part d), is the assumption that the distribution is normal necessary? Yes No of

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The amount of syrup that people put on their pancakes is normally distributed with mean 56 mL and
standard deviation 12 mL. Suppose that 45 randomly selected people are observed pouring syrup on their
pancakes. Round all answers to 4 decimal places where possible.
✓12
a. What is the distribution of X? X - N( 56
b. What is the distribution of ? N 56
1.7889 ✓
c. If a single randomly selected individual is observed, find the probability that this person consumes i
between 56.6 mL and 57.8 mL.
d. For the group of 45 pancake eaters, find the probability that the average amount of syrup is betwee
56.6 mL and 57.8 mL.
e. For part d), is the assumption that the distribution is normal necessary? Yes No
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Transcribed Image Text:The amount of syrup that people put on their pancakes is normally distributed with mean 56 mL and standard deviation 12 mL. Suppose that 45 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible. ✓12 a. What is the distribution of X? X - N( 56 b. What is the distribution of ? N 56 1.7889 ✓ c. If a single randomly selected individual is observed, find the probability that this person consumes i between 56.6 mL and 57.8 mL. d. For the group of 45 pancake eaters, find the probability that the average amount of syrup is betwee 56.6 mL and 57.8 mL. e. For part d), is the assumption that the distribution is normal necessary? Yes No Hint: Hint Textbook Pages Submit Question
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