Question

Assume that the mean hourly cost to operate a commercial airplane follows the normal distribution with a mean of $2,125 per hour and a standard deviation of $280.

What is the operating cost for the lowest 6 percent of the airplanes? (Round z value to 2 decimal places. Omit the "$" sign in your response.)

Answer 1

Answer on Question # 40972 - Math - Statistics

Assume that the mean hourly cost to operate a commercial airplane follows the normal distribution with a mean of $2,125 per hour and a standard deviation of $280.

What is the operating cost for the lowest 6 percent of the airplanes? (Round z value to 2 decimal places. Omit the "$" sign in your response.)

Answer:

Z value is calculated

$Z = (X - m) / StDev$

$Z = (X - 2125) / 280$

Z value for $6\%$ interval is 1.5571 (table value). Thus:

X=1689.57

Operating cost for the lowest 6 percent of the airplanes is 1689.57

Area from a value (Use to compute p from Z)

Value from an area (Use to compute Z for confidence intervals)

Specify Parameters:

Area 0.06

Mean 2125

SD 280

Results:

Recalculate

Above

Below 1689.573

Between

Outside

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