Question

In: Statistics and Probability

A “quart” of 5W40 motor oil has 950 mL, on average, with a standard deviation of 11 mL. Assuming a normal distribution

 A “quart” of 5W40 motor oil has 950 mL, on average, with a standard deviation of 11 mL. Assuming a normal distribution,

a) What percentage of motor oil falls within 4 standard deviation?

b) How many milliliters of motor oil fall within 6 standard deviation?

c) What percentage of motor oil falls within 3 standard deviation?

d) How many milliliters of motor oil fall within 3 standard deviation?

Solutions

Expert Solution

Here we have

a)

The z-score for is

The z-score for is

The percentage of motor oil falls within 4 standard deviation of mean is

Answer: 99.99%

(b)

The z-score for is

The z-score for is

The percentage of motor oil falls within 6 standard deviation of mean is

Answer: 100%

c)

The z-score for is

The z-score for is

The percentage of motor oil falls within 3 standard deviation of mean is

Answer: 99.73%

d)

The required interval is:

Answer: (917 mL, 983 mL)

orchestra answered 3 years ago
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