When automobile companies advertise gasoline consumption of particular model, they provide the average miles per gallon for that model. Standards require that the determine must be in plus or minus 1/2 mile (.5) of the true average, with 99% confidence level. A new model called the Shark is being marketed, and advertising director needs to know what average miles per gallon to employ in this advertisements. Prototype testing points to the Shark typically gets between 13 and 29 miles per gallon. How large of sample of Sharks must be employed in order to obtain the average miles per gallon to be employed in the advertisements?
Note: The standard deviation (s) can be estimated as the range divided by 4.
Determine the numerical value of Z?
Determine the estimated value of s?
Determine the value of E (Margin of error)?
Compute the value of the sample size n?(Show equation with filled in numerical values. Calculate answer.)