MATHEMATICS

Question 1
According to the central limit theorem, if a sample of size 64 is drawn from a population with a mean of 56, the mean of all sample means would equal _________ .

7.00
56.00
64.00
0.875
128.00

Question 2
According to the central limit theorem, if a sample of size 100 is drawn from a population with a standard deviation of 80, the standard deviation of sample means would equal __________ .
0.80
8
80
800
0.080

Question 3
According to the central limit theorem, for samples of size 64 drawn from a population with μ = 800 and σ = 56, the standard deviation of the sampling distribution of sample means would equal __________ .
7
8
100
800
80

Question 4
Suppose a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean of more than 95 is _________ .
0.1056
0.3944
0.4286
0.8944
1.0000

Question 5
Suppose a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean between 85 and 95 is _________ .
0.1056
0.3944
0.7888
0.2112
0.5000

Question 6
Suppose a population has a mean of 90 and a standard deviation of 28. If a random sample of size 49 is drawn from the population, the probability of drawing a sample with a mean between 80 and 100 is _________ .
0.9876
0.0124
0.4938
0.0062
1.0000

Question 7

Suppose a population has a mean of 400 and a standard deviation of 24. If a random sample of size 144 is drawn from the population, the probability of drawing a sample with a mean of more than 404.5 is __________ .

0.0139
0.4861
0.4878
0.0122
0.5000

Question 8

Albert Abbasi, VP of Operations at Ingleside International Bank, is evaluating the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. If the population of waiting times has a mean of 15 minutes and a standard deviation of 4 minutes, the probability that Albert’s sample of 64 will have a mean less than 14 minutes is _________ .

0.4772
0.0228
0.9772
0.9544
1.0000

Question 9
Albert Abbasi, VP of Operations at Ingleside International Bank, is evaluating the service level provided to walk-in customers. Accordingly, he plans a sample of waiting times for walk-in customers. If the population of waiting times has a mean of 15 minutes and a standard deviation of 4 minutes, the probability that Albert’s sample of 64 will have a mean between 13.5 and 16.5 minutes is __________ .
0.9974
0.4987
0.9772
0.4772
0.5000

Question 10
Suppose 40% of the population possess a given characteristic. If a random sample of size 300 is drawn from the population, then the probability that 44% or fewer of the samples possess the characteristic is __________ .
0.0793
0.4207
0.9207
0.9900
1.0000

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