You want to arrange 12 of your favorite CDs along a shelf. How many different ways can you arrange the CDs assuming that the order of the CDs makes a difference to you?
A) 479,001,600 B) 39,916,800 C) 144 D) 132
Q. 2A random sample of 20 electricians is obtained and the monthly income is recorded for each one. A researcher plans to use the bootstrap method with 1000 resamples to obtain a 90 confidence interval for the mean monthly income of all electricians.
Which of the following is not true of the resamples? A) Each resample will be selected from the population.
B) Each resample will be selected with replacement.
C) Each resample will be selected from the original sample.
D) Each resample will be of the same size as the original sample.
Q. 3There are 4 performers who are to present their acts at a variety show. One of them insists on being the first act of the evening. If this request is granted, how many different ways are there to schedule the appearances?
A) 6 B) 24 C) 16 D) 12
Q. 4One year, professional sports players salaries averaged 1.9 million with a standard deviation of 0.7 million. Suppose a sample of 100 major league players was taken.
Find the approximate probability that the average salary of the 100 players exceeded 1.1 million. A) approximately 1 B) approximately 0 C) 0.2357 D) 0.7357
Q. 5If we wish to obtain a 98 confidence interval of a parameter using the bootstrap method, which percentiles of the resampled distribution will form the lower and upper bounds of the interval?
A) 1, 99 B) 2, 98 C) 2, 99 D) 1, 98
Q. 6By saying that we reject the null hypothesis in a hypothesis test of the coefficients of a multiple linear regression we are implying that
A) at least one coefficient is different from zero.
B) all coefficients are different from zero.
C) the relationship is not linear.
D) non-parametric methods must be used on this problem.
Q. 7There are 6 performers who are to present their acts at a variety show. How many different ways are there to schedule their appearances?
A) 720 B) 6 C) 36 D) 30
Q. 8The average score of all golfers for a particular course has a mean of 75 and a standard deviation of 4.5. Suppose 81 golfers played the course today. Find the probability that the average score of the 81 golfers exceeded 76.
A) 0.0228 B) 0.1293 C) 0.4772 D) 0.3707