Q1) Random sample of 56 departing flights at the airport a 3-month period had mean wait of 14.2 minutes between boarding and takeoff, with standard deviation of 4.53 minutes. At same airport, random sample of 81 incoming flights over same 3-months period had the mean wait of 17.5 minutes between time that plane arrived at the gate and time that baggage reached the baggage claim area, with standard deviation of 9.87 minutes. At 0.05 level of significance, test the claim that at this airport mean wait for takeoff is less than mean wait for baggage

Q2) Suppose that population of heights of female college students is approximately normally distributed with mean m of 65 inches and standard deviation s of 2.75 inches. Random sample of 15 heights is obtained.  

a) Explain distribution of x, height of the college student

b) Determine the proportion of female college students whose height is greater than 67 inches.

c) Explain the distribution of mean of samples of size 15.

d) Determine the mean and standard error of the distribution

e) Determine P (>67)

f) Determine P (< 64)