Regular gasoline averaged $2.45 per gallon in November 2018. Assume the standard deviation for gasoline prices is $0.13 per gallon. A random sample of 35 service stations was selected. Complete parts a through d. What is the probability that the sample mean will be less than $2.47? The probability that the sample mean will be less than $2.47 is (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that the sample mean will be more than $2.44? The probability that the sample mean will be more than $2.44 is- (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that the sample mean will be between $2.42 and $2.52? The probability that the sample mean will be between $2.42 and $2.52 is (Type an integer or decimal rounded to four decimal places as needed.)

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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Regular gasoline averaged $2.45 per gallon in November 2018. Assume the standard deviation for gasoline prices is $0.13 per gallon. A random sample of 35 service stations was selected. Complete parts a through d.
a. What is the probability that the sample mean will be less than $2.47?
The probability that the sample mean will be less than $2.47 is
(Type an integer or decimal rounded to four decimal places as needed.)
b. What is the probability that the sample mean will be more than $2.44?
The probability that the sample mean will be more than $2.44 is
(Type an integer or decimal rounded to four decimal places as needed.)
c. What is the probability that the sample mean will be between $2.42 and $2.52?
The probability that the sample mean will be between $2.42 and $2.52 is
(Type an integer or decimal rounded to four decimal places as needed.)
d. Suppose the sample mean is $2.51. Does this result support the average gasoline price findings? Explain your answer.
The probability that the average price per gallon is more than $2.51 is
(Type an integer or decimal rounded to four decimal places as needed.)
Does this result support the average gasoline price findings? Explain your answer. Consider a probability of less than 0.05 to be small.
O A. The probability does not support the finding that the average price per gallon for gas in the population is $2.45, because this probability is large.
O B. The probability does not support the finding that the average price per gallon for gas in the population is $2.45, because this probability is small.
O c. The probability supports the finding that the average price per gallon for gas in the population is $2.45, because this probability is large.
O D. The probability supports the finding that the average price per gallon for gas in the population is $2.45, because this probability is small.
Transcribed Image Text:Regular gasoline averaged $2.45 per gallon in November 2018. Assume the standard deviation for gasoline prices is $0.13 per gallon. A random sample of 35 service stations was selected. Complete parts a through d. a. What is the probability that the sample mean will be less than $2.47? The probability that the sample mean will be less than $2.47 is (Type an integer or decimal rounded to four decimal places as needed.) b. What is the probability that the sample mean will be more than $2.44? The probability that the sample mean will be more than $2.44 is (Type an integer or decimal rounded to four decimal places as needed.) c. What is the probability that the sample mean will be between $2.42 and $2.52? The probability that the sample mean will be between $2.42 and $2.52 is (Type an integer or decimal rounded to four decimal places as needed.) d. Suppose the sample mean is $2.51. Does this result support the average gasoline price findings? Explain your answer. The probability that the average price per gallon is more than $2.51 is (Type an integer or decimal rounded to four decimal places as needed.) Does this result support the average gasoline price findings? Explain your answer. Consider a probability of less than 0.05 to be small. O A. The probability does not support the finding that the average price per gallon for gas in the population is $2.45, because this probability is large. O B. The probability does not support the finding that the average price per gallon for gas in the population is $2.45, because this probability is small. O c. The probability supports the finding that the average price per gallon for gas in the population is $2.45, because this probability is large. O D. The probability supports the finding that the average price per gallon for gas in the population is $2.45, because this probability is small.
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