Answered: The average time a person spends 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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The average time a person spends in a museum follows a normal distribution with ?=88 minutes and a variance of 16 min. These parameters are taken from a survey conducted to the visitors of the museum in a particular day. Suppose a sample consisting 9 visitors is selected, what is the probability that the average time these visitors spent in the museum is between 87 and 92 min?

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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