The amount of syrup that people put on their pancakes is normally distributed with mean 55 mL and standard deviation 10 mL. Suppose that 41 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible.What is the distribution of XX? XX ~ N(,)What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)If a single randomly selected individual is observed, find the probability that this person consumes is between 54.2 mL and 55.7 mL. For the group of 41 pancake eaters, find the probability that the average amount of syrup is between 54.2 mL and 55.7 mL. For part d), is the assumption that the distribution is normal necessary? YesNo

Given information X bar = mean =55ml S= standard deviation = 10ml n = Sample size = 41

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

Section10.5: Comparing Sets Of Data

Problem 13PPS

See similar textbooks

Related questions

Question

The amount of syrup that people put on their pancakes is normally distributed with mean 55 mL and standard deviation 10 mL. Suppose that 41 randomly selected people are observed pouring syrup on their pancakes. Round all answers to 4 decimal places where possible.

What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
If a single randomly selected individual is observed, find the probability that this person consumes is between 54.2 mL and 55.7 mL.
For the group of 41 pancake eaters, find the probability that the average amount of syrup is between 54.2 mL and 55.7 mL.
For part d), is the assumption that the distribution is normal necessary? YesNo

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.

Expert Solution