Explanation Formula Used: The normal distribution is given as: Z = X − μ σ Where Z is the normal distribution parameter μ is the null hypothesis mean X is the actual mean σ is the standard deviation And for the binomial distribution, the formula is μ = n p And σ = n p ( 1 − p ) Where, n is the number of trials p is the probability of an individual trial From the standard normal distribution chart, the values of Z that bound a confidence interval are obtained as -1.91 and 1.91. Calculation: From the given problem, for an airline with 95% claimed on-time rate and 200 flights we can construct the values for the null hypothesis. n is 200 p is the claimed departure rate, 5/100 or 1/20. We now calculate μ and σ using the formulas μ = n p and σ = n p ( 1 − p ) μ is 10 σ is 3...

6th Edition

ISBN: 8220100802713

Author: Briggs

Publisher: PEARSON

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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.

Chapter 6.D, Problem 17E

To determine

The statistical significance of an airline claiming 95% on-time departure and has 11 out of 200 flights with late departures.

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Chapter 6.D, Problem 16E

Chapter 6.D, Problem 18E

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