A particular fruit's weights are normally distributed, with a mean of 517 grams and a standard deviation of 32 grams. If you pick 23 fruit at random, what is the probability that their mean weight will be between 495 grams and 495 grams. Round to 4 decimal places.

A particular fruit's weights are normally distributed, with a mean of 517 grams and a standard deviation of 32 grams. If you pick 23 fruit at random, what is the probability that their mean weight will be between 495 grams and 495 grams. Round to 4 decimal places.

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section: Chapter Questions

Problem 24SGR

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Question

A particular fruit's weights are normally distributed, with a mean of 517 grams and a standard deviation of 32 grams.

If you pick 23 fruit at random, what is the probability that their mean weight will be between 495 grams and 495 grams.

Round to 4 decimal places.

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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