The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4,000 gallons and a standard deviation of 125 gallons. A sample of 40 jumbo jets is randomly selected. (No need to interpolate) a. Compute the z-score for 3, 950 gallons. b. What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3, 950 gallons? c. What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be more than 3, 950 gallons?

The amount of fuel used by jumbo jets to take off is normally distributed with a mean of 4,000 gallons and a standard deviation of 125 gallons. A sample of 40 jumbo jets is randomly selected. (No need to interpolate) a. Compute the z-score for 3, 950 gallons. b. What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be less than 3, 950 gallons? c. What is the probability that the mean number of gallons of fuel needed to take off for a randomly selected sample of 40 jumbo jets will be more than 3, 950 gallons?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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Question

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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