Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 22 minutes. A researcher observed 6 students who entered the library to study. Round all answers to 4 decimal places where possible.What is the distribution of ∑x∑x? ~ N( , )If one randomly selected student is timed, find the probability that this student's time will be between 41 and 50 minutes. ________For the 6 students, find the probability that their average time studying is between 41 and 50 minutes. ____________

The mean is 46 and the standard deviation is 22.

Answered: Suppose that the amount of time that…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Suppose that the amount of time that students spend studying in the library in one sitting is normally distributed with mean 46 minutes and standard deviation 22 minutes. A researcher observed 6 students who entered the library to study. Round all answers to 4 decimal places where possible.

What is the distribution of ∑x∑x? ~ N( , )
If one randomly selected student is timed, find the probability that this student's time will be between 41 and 50 minutes. ________
For the 6 students, find the probability that their average time studying is between 41 and 50 minutes. ____________

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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