Answer:

Step-by-step explanation:
we have

Remember that

and

substitute

Answer:


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:

If you plot the points you can easily find the answer. (X,Y) The x-axis is the horizontal line and the y-axis is the vertical line.
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