question 4The amount of syrup that people put on their pancakes is normally distributed with mean 63 mL and standard deviation 12 mL. Suppose that 43 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible.If a single randomly selected individual is observed, find the probability that this person consumes is between 60.3 mL and 62.3 mL. _____For the group of 43 pancake eaters, find the probability that the average amount of syrup is between 60.3 mL and 62.3 mL. ______

GivenMean(μ)=63standard deviation(σ)=12sample size(n)=43

Answered: The amount of syrup that people put on…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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question 4

The amount of syrup that people put on their pancakes is normally distributed with mean 63 mL and standard deviation 12 mL. Suppose that 43 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible.

If a single randomly selected individual is observed, find the probability that this person consumes is between 60.3 mL and 62.3 mL. _____
For the group of 43 pancake eaters, find the probability that the average amount of syrup is between 60.3 mL and 62.3 mL. ______

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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