yes F18 M164-0066 Intro Probability & Statistics (MW 8:55-11A) Canv titiana Hill
ID: 3072700 • Letter: Y
Question
yes F18 M164-0066 Intro Probability & Statistics (MW 8:55-11A) Canv titiana Hill & 9/22/18 9:14 Homework: Section 3.2 Measures of Dispersion Score: 0 of 1 pt 12 of 15 (14 complete) HW Score: 66.37%, 9.96 of 1 x3.2.35 E Question Help At one point the average price of regular unleaded gasoline was $3.46 per gallon. Assume that the standard deviation price per gallon is $0.04 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 1.5 standard deviations of the mean? What are the gasoline prices that are within 1.5 standard deviations of the mean? a) At least 90 of gasoline stations had prices within 2 standard deviations of the mean. (Round to two decimal places as needed.) Enter your answer in the answer box and then click Check Answer parts remainingExplanation / Answer
a) Prices that are within 2 standard deviation of the mean
= (1 - 1/22)
= 1 - 1/4
= 75%
b) Prices that are within 1.5 standard deviations from the mean
= 1 - 1/1.52
= 55.56%
Range:
Lowest price = 3.46 - 1.5*0.04 = 3.4
Highest price = 3.46 + 1.5*0.04 = 3.52
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.