Answered: been feeding bass in a pond. Based on 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 22PFA

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Question

The wildlife department has been feeding bass in a pond. Based on a large number of observations, the distribution of bass weights is normally distributed with a mean of 408.7 grams and a standard deviation of 8.8 grams. What is the probability that the mean weight for a sample of 50 bass exceeds 410.5 grams?
Round your answer to four 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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