Question

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 are randomly selected. Compute the z-score for 3, 950 gallons.

A. -0.4
B. 0.4
C. -2.53
D. 2.53

Answer 1

The z score that has been calculated for the 3950 gallons is given as -0.4.

How to solve for the z score of the distribution

The Mean μ= 4000 gallons for the fuel.

The standard deviation is given as 125 gallons

X is the trials  = 3950

The formula for the calculation of the z score is give as

Z-score = (x-μ)/σ

When we input these value we will have

Z-score = (3950-4000)/125

The calculated Z score  = -0.4

Therefore the z score for the number of gallons from this calculation is given as -0.4

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