A national air traffic control system handled an average of 47,809 flights during 29 randomly selected days in a recent year. The standard deviation for this sample is 6,195 flights per day. Complete parts a through c below. a. Construct a 99% confidence interval to estimate the average number of flights per day handled by the system. The 99% confidence interval to estimate the average number of flights per day handled by the system is from a lower limit of nothing to an upper limit of nothing. (Round to the nearest whole numbers.) b. Suppose an airline company claimed that the national air traffic control system handles an average of 50,000 flights per day. Do the results from this sample validate the airline company's claim? A. Since the 99% confidence interval does not contain 50,000, it cannot be said with 99% confidence that the sample validates the airline company's claim. B. Since the 99% confidence interval contains 50,000, it cannot be said with 99% confidence that the sample validates the airline company's claim. C. Since the 99% confidence interval contains 50,000, it can be said with 99% confidence that the sample validates the airline company's claim. D. Since the 99% confidence interval does not contain 50,000, it can be said with 99% confidence that the sample validates the airline company's claim. c. What assumptions need to be made about this population? A. Since the sample size is not greater than or equal to 30, one needs to assume that the population distribution is not very skewed to one side. B. Since the sample size is not greater than or equal to 30, one needs to assume that the population follows the normal probability distribution. C. Since the sample size is not greater than or equal to 30, one needs to assume that the population distribution is skewed to one side. D. Since the sample size is not greater than or equal to 30, one needs to assume that the population follows the Student's t-distribution.

A national air traffic control system handled an average of 47,809 flights during 29 randomly selected days in a recent year. The standard deviation for this sample is 6,195 flights per day. Complete parts a through c below. a. Construct a 99% confidence interval to estimate the average number of flights per day handled by the system. The 99% confidence interval to estimate the average number of flights per day handled by the system is from a lower limit of nothing to an upper limit of nothing. (Round to the nearest whole numbers.) b. Suppose an airline company claimed that the national air traffic control system handles an average of 50,000 flights per day. Do the results from this sample validate the airline company's claim? A. Since the 99% confidence interval does not contain 50,000, it cannot be said with 99% confidence that the sample validates the airline company's claim. B. Since the 99% confidence interval contains 50,000, it cannot be said with 99% confidence that the sample validates the airline company's claim. C. Since the 99% confidence interval contains 50,000, it can be said with 99% confidence that the sample validates the airline company's claim. D. Since the 99% confidence interval does not contain 50,000, it can be said with 99% confidence that the sample validates the airline company's claim. c. What assumptions need to be made about this population? A. Since the sample size is not greater than or equal to 30, one needs to assume that the population distribution is not very skewed to one side. B. Since the sample size is not greater than or equal to 30, one needs to assume that the population follows the normal probability distribution. C. Since the sample size is not greater than or equal to 30, one needs to assume that the population distribution is skewed to one side. D. Since the sample size is not greater than or equal to 30, one needs to assume that the population follows the Student's t-distribution.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A national air traffic control system handled an average of

47,809

flights during

randomly selected days in a recent year. The standard deviation for this sample is

6,195

flights per day. Complete parts a through c below.

a. Construct

99%

confidence interval to estimate the average number of flights per day handled by the system.

The

99%

confidence interval to estimate the average number of flights per day handled by the system is from a lower limit of

nothing

to an upper limit of

nothing.

(Round to the nearest whole numbers.)

b. Suppose an airline company claimed that the national air traffic control system handles an average of 50,000 flights per day. Do the results from this sample validate the airline company's claim?

Since the

99%

confidence interval does not contain 50,000, it cannot be said with

99%

confidence that the sample validates the airline company's claim.

Since the

99%

confidence interval contains 50,000, it cannot be said with

99%

confidence that the sample validates the airline company's claim.

Since the

99%

confidence interval contains 50,000, it can be said with

99%

confidence that the sample validates the airline company's claim.

Since the

99%

confidence interval does not contain 50,000, it can be said with

99%

confidence that the sample validates the airline company's claim.

c. What assumptions need to be made about this population?

Since the sample size is not greater than or equal to 30, one needs to assume that the population distribution is not very skewed to one side.

Since the sample size is not greater than or equal to 30, one needs to assume that the population follows the normal probability distribution.

Since the sample size is not greater than or equal to 30, one needs to assume that the population distribution is skewed to one side.

Since the sample size is not greater than or equal to 30, one needs to assume that the population follows the Student's t-distribution.

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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