Mathematics: Determine if the finite correction factor should be used. if so, use it in your calculations when you find the probability. in a sample of 700 gas stations, the mean price for regular gasoline at the pump was $ 2.837 per gallon and the standard deviation was $0.009 per gallon. a random sample of size 55 is drawn from this population. what is the probability that the mean price per gallon is less than $2.834?

Combine like terms then I think you divide it, it should be one...

Determine if the finite correction factor should

Blbyrd1679

12.03.2022

0.9932

Step-by-step explanation:

Given : Mean : $\mu=\$2.837\text{ per gallon }$

Standard deviation : $\sigma = \$0.009\text{ per gallon}$

a) The formula for z -score :

$z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}$

Sample size = 55

For x= $2.834 ,

$z=\dfrac{2.834-2.837}{\dfrac{0.009}{\sqrt{55}}}\approx2.47$

The p-value = P(z

$0.9932443\approx0.9932$

Thus, the probability that the mean price per gallon is less than $2.834 is approximately 0.9932 .

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