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. Using a p-value, test the hypothesis at the 10% level of significance. p value=0.13 Therefore, DO Not reject H0. There is sufficient evidence at α = .01 to conclude that average running time of movies is 180 minutes. p value=0.17 Therefore, DO Not reject H0. There is NO sufficient evidence at α = .05 to conclude that average running time of movies is 180 minutes. p value=0.13 Therefore, reject H0. There is sufficient evidence at α = .01 to conclude that average running time of movies is 180 minutes. p value=0.17 Therefore, reject H0. There is No sufficient evidence at α = .05 to conclude that average running time of movies is 180 minutes.

Step 1: Define the HypothesesWe're testing whether the average running time of movies is equal to…

Answered: Nancy believes that the average running…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter13: Regression And Forecasting Models

Section13.3: Simple Regression Models

Problem 6P: Do the sales prices of houses in a given community vary systematically with their sizes (as measured...

See similar textbooks

Related questions

Question

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.

Using a p-value, test the hypothesis at the 10% level of significance.

		p value=0.13 Therefore, DO Not reject H0. There is sufficient evidence at α = .01 to conclude that average running time of movies is 180 minutes.
		p value=0.17 Therefore, DO Not reject H0. There is NO sufficient evidence at α = .05 to conclude that average running time of movies is 180 minutes.
		p value=0.13 Therefore, reject H0. There is sufficient evidence at α = .01 to conclude that average running time of movies is 180 minutes.
		p value=0.17 Therefore, reject H0. There is No sufficient evidence at α = .05 to conclude that average running time of movies is 180 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.

Expert Solution

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.