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

Answers

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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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. 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?

A. 78.1%
B. 34.5%
C. 2.5%
D. 0.57%

Answers

given that

Mean μ= 4000 gallons

Standard deviation σ = 125 gallons

Number of trials x = 3950 gallons

What is the formula for a z-score?

Z-score = (x-μ)/σ

Z-score = (3950-4000)/125

Z-score = -0.4

So probbaility P(x<3950) = P(z<-0.4)

From the standard normal table,

P(x<3950) = 0.66

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Answer:

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