A racing car consumes a mean of 114 gallons of gas per race with a variance of 49.
If 33 racing cars are randomly selected, what is the probability that the sample mean would be less than 117.2 gallons? Round your answer to four decimal places.
Solution :
_{} = / n = 7 / 33
P( < 117.2) = P(( - _{} ) / _{} < (117.2 - 114) / 7 / 33 )
= P(z < 2.63)
= 0.9957
Probability = 0.9957
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