Answered: uppose the weights of apples in a…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Suppose the weights of apples in a particular orchard follow a normal distribution with a mean of 150 grams and a standard deviation of 20 grams. What is the probability that a randomly selected apple weighs between 125 and 175 grams? If a random sample of 25 apples is selected, what is the probability that the average weight of the sample is between 145 and 155 grams?

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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