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...

CAN YOU PLEASE ANSWER THE WHOLE THING

Extracted 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 P. The probability supports the finding that the average price per gallon for gas in the population is $2.45, because this probability is small.