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8. Suppose that A and B are 3 x 3 matrices and that det(A) = }, det(B) = -1. Then det(-ABA adi(B)adi(A)) is (a) -27, (b) (c) -1, (d) 1 (e) None of the above.
The queuing time at an airline check-in has a population mean h = 13 minutes and variance o2 = 16 minutes2. Suppose that n = 27 passengers were randomly selected from this population. They were interviewed and reported the queued times. Let x̄ defines the sample mean of n observations. Answer the followings:
a) Define your random variable X.
b) Define the sampling distribution of sample mean (indicate a reason and give the name of the distribution, the parameters and sketch it.
c) What is the probability that a sample mean is at most 11 minutes. Please skecth the problem and show all details of your answer.
d) Suppose that for n = 27 passengers, the sample mean is observed as x̄= 10 minutes. Based on part c, can we claim that the population mean queuing time is less than 13 minutes.
e) Construct a 95% acceptance region for sample mean of queing time (i.e., u + za x f) Interpret the result obtained in parte and skecth the control chart.
The following frequency histogram represents the IQ scores of a random sample of seventh-grade students. IQs are measured to the nearest whole number. The frequency of earch class is labeled above each rectangle. Use the histogram to answers parts (a) through (g).
(a) How may students were smapled?
...........students
(b) Determine the class width
The class width is ........
(c) Identify the classes and their frequencies choose the correct answer below.
(a) 60-70,2; 70-80, 2; 80-90, 14:90-100, 43:100-110, 56: 110-120, 40; 120-130, 30:130-140, 9:140-150, 3:150-160, 1.
(b) 65,2; 75, 2,85, 14, 95, 43; 105,56; 115, 40; 125, 30; 135, 9; 145, 3;155, 1
(c) 60-69; 2; 70-79, 2; 80-89, 14; 90-99, 43. 100-109, 56; 110-119, 40; 120-129, 30; 130-139, 9: 140-149, 3; 150-159, 1.
(d) Wich class has the hgihest frequency?