A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard deviation A pizza delivery company buys 54 of these cars. What is the probability that the average mileage of the fleet is between 33.3 and 34.3 mpg?

An we can use the normal standard table and the following difference and we got this result:

Step-by-step explanation:

Assuming this statement to complete the problem "with a standard deviation 5 mpg"

We have the following info given:

represent the mean

represent the deviation

We have a sample size of n = 54 and we want to find this probability:

And for this case since the sample size is large enough >30 we can apply the central limit theorem and then we can use this distribution:

And we can use the z score formula given by:

And replacing we got:

An we can use the normal standard table and the following difference and we got this result: