The cost of a gallon of gas is normally distributed with a mean of $3.90 and standard deviation of $0.45. A) What is the probability that a randomly selected value is below $3.05? B) What is the probability that the mean of 30 randomly selected prices is above $3.95? C) What price would represent the 90th percentile of all gas prices?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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The cost of a gallon of gas is normally distributed with a mean of $3.90 and standard deviation
of $0.45.
A) What is the probability that a randomly selected value is below $3.05?
B) What is the probability that the mean of 30 randomly selected prices is above $3.95?
C) What price would represent the 90th percentile of all gas prices?
D) What is the mean and standard deviation of a sampling distribution of 50 gas prices?
E) A gas station has priced their gas at $5.10. Using statistics, what would you tell someone
who wants to buy gas from that gas station. Your answer must use statistics, not just "its
expensive."
Transcribed Image Text:The cost of a gallon of gas is normally distributed with a mean of $3.90 and standard deviation of $0.45. A) What is the probability that a randomly selected value is below $3.05? B) What is the probability that the mean of 30 randomly selected prices is above $3.95? C) What price would represent the 90th percentile of all gas prices? D) What is the mean and standard deviation of a sampling distribution of 50 gas prices? E) A gas station has priced their gas at $5.10. Using statistics, what would you tell someone who wants to buy gas from that gas station. Your answer must use statistics, not just "its expensive."
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