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2. The North Dakota department of transportation conducted a study to find the average amount of...

2. The North Dakota department of transportation conducted a study to find the average amount of time ND residents spend commuting during the fourth of July weekend. They surveyed 144 drivers and the study found out that the driver’s population spent an average of 20 hours commuting with a standard deviation of 10 hours.

(a) What is the standard error of the mean?

(b) Compute the probability the sample mean is greater than 20 hours?

(c) Compute the probability the sample mean is less than 18 hours?

(d) Compute the probability the sample mean is between 18 and 22 hours?

PLEASE SHOW ALL WORK

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