Answered: Nancy believes that the average running…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter10: Introduction To Simulation Modeling

Section10.2: Probability Distributions For Input Variables

Problem 2P: Use Excels functions (not @RISK) to generate 1000 random numbers from a normal distribution with...

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Nancy believes that the average running time of movies is equal to 180 minutes. A sample of 9 movies was taken, and the following running times were obtained. Assume the distribution of the population is normally distributed with the mean of 175 and standard deviation of 10 minutes.

State the null and alternative hypotheses.

H0: μ >=180

Ha: μ < 180

H0: μ >180

Ha: μ <= 180

H0: μ = 180

Ha: μ ≠ 180

H0: μ <180

Ha: μ >= 180

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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