Mathematics, 10.03.2020 07:48 babyduck0664
A study found that highway drivers in one state traveled at an average speed of 56.6 miles per hour (MPH). Assume the population standard deviation is 5.1 MPH. Complete parts a through d below.
a. What is the probability that a sample of 30 of the drivers will have a sample mean less than 56 MPH?
b. What is the probability that a sample of 45 of the drivers will have a sample mean less than 56 MPH?
c. What is the probability that a sample of 60 of the drivers will have a sample mean less than 56 MPH?
d. Explain the difference in these probabilities. (Select one each)
i. As the sample size increases, the standard error of the mean
(Same, Increase, Decrease)
ii. As the sample size increases, the standard error of the mean
(Same, Move farther, Move closer) the population mean of 57.3 MPH.
iii. Therefore, the probability of observing a sample mean less than 56 MPH
(Same, Increase, Decrease).
Answers: 1
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