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PLEASE SHOW BOTH MANUAL AND HOW TO WORK THE PROBLEMS USING EXCEL! The average pr

ID: 3042713 • Letter: P

Question

PLEASE SHOW BOTH MANUAL AND HOW TO WORK THE PROBLEMS USING EXCEL! The average price for a gallon of gasoline in the United States is $3.73 and in Russia it is $3.40 (Bloomberg Businessweek, March 5–March 11, 2012). Assume these averages are the population means in the two countries and that the probability distributions are normally distributed with a standard deviation of $.25 in the United States and a standard deviation of $.20 in Russia. a. What is the probability that a randomly selected gas station in the United States charges less than $3.50 per gallon? b. What percentage of the gas stations in Russia charge less than $3.50 per gallon? c. What is the probability that a randomly selected gas station in Russia charged more than the mean price in the United States?

Explanation / Answer

a)

b)

for Russia:

c)

here mean price differnce =3.73-3.40 =0.33

and std deviaiton =(0.252+0.22)1/2 =0.320

hence probability that a randomly selected gas station in Russia charged more than the mean price in the United States

for normal distribution z score =(X-)/ here mean=       = 3.730 std deviation   == 0.250
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