D . The avera ge price per gallon of regular gasoline was reported to be $22.34 in Ohio . Use this price as the population m ean,, and assume that the popula tion standard deviation is $00.16 .
7 . For a random sample of 64 service stations,, find the standard deviation of the sampling distribution of the sample mean (uuse exactly two de c imal places)) .
8 . What is the probability that the mean price for a sample of 64 s ervice stations is between $22.31 and $ 2.36 ? (PP rovide your answer using exactly four decimal places))
Given,
= 22.34 , = 0.16
7)
Standard deviation of sampling distribution of sample mean is .
= / sqrt(n)
= 0.16 / sqrt(64)
= 0.02
8)
The central limit theorem is
P( < x) = P( Z < - / / sqrt(n) )
P( 22.31 < < 22.36) = P( < 22.36) - P( < 22.31)
= P( Z < 22.36 - 22.34 / 0.02) - P( Z < 22.31 - 22.34 / 0.02)
= P( Z < 1) - P( Z < -1.5)
= P( Z < 1 ) - ( 1 - P( Z < 1.5) )
= 0.8413 - ( 1 - 0.9332)
= 0.7745
D . The avera ge price per gallon of regular gasoline was reported to be $22.34...
The U.S. Energy Administration reported that the mean price for a gallon of regular gasoline in the U.S, was $2.357. You are asked to test at a 06 level of significance whether the mean price for a gallon of gasoline in the Lower Atlantic states is different from the national mean. You sample 50 service stations in the Lowe determined the mean price for a gallon of regular gasoline was $2.343. The standard deviation for all stations in the lower...
The average price of a gallon of unleaded regular gasoline was reported to be $3.44 in northern Kentucky. Use this price as the population mean, and assume the population standard deviation is $0.30. What is the probability that the mean price for a sample of 50 service stations is within ±$.06 of the population mean? What is the probability that the mean price for a sample of 100 service stations is within ±$.06 of the population mean? IN EXCEL
At one point the average price of regular unleaded gasoline was $3.49 per gallon. Assume that the standard deviation price per gallon is $0.05 per gallon and use Chebyshev's inequality to answer the following. (a) What percentage of gasoline stations had prices within 4 standard deviations of the mean? (b) What percentage of gasoline stations had prices within 1.5 standard deviations of the mean? What are the gasoline prices that are within 1.5 standard deviations of the mean? (c) What...
At one point the average price of regular unleaded gasoline was $3.45 per gallon. Assume that the standard deviation price per gallon is $0.06 per gallon and use Chebyshev's inequality to answer the following. (a) What percentage of gasoline stations had prices within 2 standard deviations of the mean? (b) What percentage of gasoline stations had prices within 2.5 standard deviations of the mean? What are the gasoline prices that are within 2.5 standard deviations of the mean? (c) What...
%) 32.35x At one point the average price of regular unleaded gasoline was $3.64 per gallon. Assume that the standard deviation price per gallon is $0.07 per gallon and use Chebyshev's inequality to answer the following (a) What percentage of gasoline stations had prices within 4 standard deviations of the mean? (b) What percentage of gasoline stations had prices within 1.5 standad devations of the mean? What are the gasoline prices that are within 1.5 standard deviations of the mean?...
3.2.35x At one point the average price of regular unleaded gasoline was $3.47 per gallon. Assume that the standard deviation price per gallon is S0.07 per gallon and use Chebyshev's inequality to answer the following (a) What percentage of gasoline stations had prices within 3 standard deviations of the mean? (b) What percentage of gasoline stations had prices within 1.5 standard deviations of the mean? What are the gasoline prices that are within 1.5 standard deviations of the mean? (c)...
At one point the average price of regular unleaded gasoline was $3.49 per gallon. Assume that the standard deviation price per gallon is $0.04 per gallion and use Chebyshevs inequality to answer the following (a) What percentage of gasoline stations had prices within 2 standard deviations of the mean? (b) What percentage of gasoline stations had prices within 2.5 standard deviations of the mean? What are the gasoline prices that are within 2.5 standard deviations of the mean? (c) What...
At one point the average price of regular unleaded gasoline was $3.45 per gallon. Assume that the standard deviation price per gallon is S0.08 per galion and use Chebyshev's inequality to answer the following. (a) What percentage of gasoline stations had prices within 4 standard deviations of the mean? the mean? (e) What is the minimum percentage of gasoline stations that had prices between $3.29 and $3.61? (a At least 1% of gasoline stations had prices within 4 standard deviations...
At one point the average price of regular unleaded gasoline was 53.42 per gallon. Assume that the standard deviation price per gallon is 50.04 per gallon and use Chebyshev's inequality to answer the following. (a) What percentage of gasoline stations had prices within 3 standard deviations of the mean? (b) What percentage of gasoline stations had prices within 2.5 standard deviations of the mean? What are the gasoline prices that are within 2.5 standard deviations of the mean? (c) What...
At one point the average price of regular unleaded gasoline was $3.653.65 per gallon. Assume that the standard deviation price per gallon is $0.050.05 per gallon and useChebyshev's inequality to answer the following. (a) What percentage of gasoline stations had prices within 44 standard deviations of the mean? (b) What percentage of gasoline stations had prices within 2.52.5 standard deviations of the mean? What are the gasoline prices that are within 2.52.5 standard deviations of the mean? (c) What is...