SOLUTION: The amount of syrup that people put on their pancakes is normally distributed with a mean 55mL and standard deviation 7mL. Suppose that 10 randomly selected people are observed po

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Question 1182642: The amount of syrup that people put on their pancakes is normally distributed with a mean 55mL and standard deviation 7mL.
Suppose that 10 randomly selected people are observed pouring syrup on their pancakes.
Round to 4 decimal places.
If a single randomly selected individual is observed, find the probability that this person consumes is between 52.6 mL and 54.4 mL.
For a group of 10 pancake eaters, find the probability that the average amount of syrup is between 52.6 mL and 54.4 mL.

Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
z for this is between -2.4/7 and -0.6/7 or -0.34 and -0.086 or probability of 0.0988
Unrounded z for the last is 0.1000. 2ndVARS2normalcdf(52.6,54.4,55,7)ENTER
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for a sample size of 10, the probability would be the same calculation with the sd now 7/sqrt(10)=0.2540