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(solution) Suppose that a random sample of size 25 is to be selected from a


Suppose that a random sample of size 25 is to be selected from a population with mean 44 and standard deviation 7. What is the approximate probability that X will be within 0.5 of the population mean?

a) 0.7210

b) 0.0569

c) 0.4790

d) 0.2790

e) 0.5580

f) None of the above

Question 13

Suppose that a random sample of size 25 is to be selected from a population with mean 44 and standard deviation 7. What is the approximate probability that X will be more than 0.5 away from the population mean?

a) 0.2790

b) 0.0569

c) 0.4790

d) 0.7210

e) 0.5580

f) None of the above

Question 14

Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 36 boxes is selected at random from the production line every hour, and if the average weight is less than 15 ounces, the machine is adjusted to increase the amount of cereal dispensed. If the mean for 1 hour is 1 pound and the standard deviation is 0.2 pound, what is the probability that the amount dispensed per box will have to be increased?

a) 0.0304

b) 0.3773

c) 0.9696

d) 0.0608

e) 0.2304

f) None of the above

Question 15

In a large population, 82% of the households have cable tv. A simple random sample of 225 households is to be contacted and the sample proportion computed. What is the mean and standard deviation of the sampling distribution of the sample proportions?

a) mean = 184.50, standard deviation = 0.0256

b) mean = 0.82, standard deviation = 0.0007

c) mean = 184.50, standard deviation = 0.0007

d) mean = 0.82, standard deviation = 0.0256

e) mean = 0.82, standard deviation = 0.5656

f) None of the above

Question 16

In a large population, 65% of the households have cable tv. A simple random sample of 256 households is to be contacted and the sample proportion computed. What is the probability that the sampling distribution of sample porportions is less than 59%?

a) 0.1169

b) 0.0110

c) 0.9779

d) 0.8831

e) 0.0221

f) None of the above

 


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