If the amount of gasoline purchased per car at a large service station has a population mean of 15 gallons and a population standard deviation of 4 gallons, and it is assumed that the amount of gasoline purchased per car is symmetric, there is approximately a 68.26 chance that a random sample of 16 cars will have a sample mean between 14 and 16 gallons.
Indicate whether the statement is true or false
Q. 2If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will take between 2 and 4.5 minutes to find a parking spot in the library parking lot.
A) 0.4938 B) 0.0919 C) 0.2255 D) 0.7745
Q. 3If the amount of gasoline purchased per car at a large service station has a population mean of 15 gallons and a population standard deviation of 4 gallons, and a random sample of 4 cars is selected, there is approximately a 68.26 chance that the sample mean will be between 13 and 17 gallons.
Indicate whether the statement is true or false
Q. 4If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes.
A) 0.3085 B) 0.1915 C) 0.3551 D) 0.2674
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