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(solution) i need this to be done in 80 minutes! please help just with the


i need this to be done in 80 minutes! please help just with the answer choices


Suppose that x is normally distributed with a mean of 20 and a standard deviation of 6. What is P(13.82 ? x ? 29.18)?

 

a) 0.351

 

b) 0.437

 

c) 0.785

 

d) 0.440

 

e) 0.348

 

f) None of the above

 

Question 2

 

Find a value of c so that P(Z ? c) = 0.48.

 

a) 0.95

 

b) ­0.05

 

c) 0.15

 

d) 0.05

 

e) 0.10

 

f) None of the above Review Later Review Later Question 3

 

Suppose that x is normally distributed with a mean of 20 and a standard deviation of 6. What is P(13.82 ? x ? 29.18)?

 

a) 0.351

 

b) 0.437

 

c) 0.785

 

d) 0.440

 

e) 0.348

 

f) None of the above Review Later Question 4

 

The length of time needed to complete a certain test is normally distributed with mean 74 minutes and standard deviation 12 minutes. Find the probability that it will take between 72 and 77 minutes to complete the test.

 

a) 0.0824

 

b) 0.1649

 

c) 0.4338

 

d) 0.8351

 

e) 0.5000

 

f) None of the above

 

Review Later Question 5

 

The length of time needed to complete a certain test is normally distributed with mean 31 minutes and standard deviation 6 minutes. Find the probability that it will take more than 35 minutes

 

to complete the test.

 

a) 0.1262

 

b) 0.2525

 

c) 0.8738

 

d) 0.7475

 

e) 0.5000

 

f) None of the above Review Later Question 6

 

Which of the following statements is not true?

 

a) The sampling distribution of the sample mean, X, is always reasonably like the distribution of X, the distribution from which the sample is taken.

 

b) The larger the sample size, the better will be the normal approximation to the sampling distribution of sample mean.

 

c) The standard deviation of the sampling distribution X of sample mean = ?/?n where ? is the standard deviation of X.

 

d) The sampling distribution of sample mean is approximately normal, mound­shaped, and symmetric for n > 30 or n = 30.

 

e) The expected value of the sample mean, X, is always the same as the expected value of X, the distribution of the population from which the sample was taken.

 

f) None of the above Review Later Question 7

 

Suppose a random sample of 60 measurements is selected from a population with a mean of 25 and a variance of 200. Select the pair

 

that is the mean and standard error of x.

 

a) [25, 1.825]

 

b) [25, 1.925]

 

c) [60, 2.325]

 

d) [25, 2.225]

 

e) [25, 2.325]

 

f) None of the above Review Later Question 8

 

A random sample of 784 10­ounce cans of fruit nectar is drawn from among all cans produced in a run. Prior experience has shown

 

that the distribution of the contents has a mean of 10 ounces and a standard deviation of 0.10 ounce. What is the probability that the mean contents of the 784 sample cans is less than 9.995 ounces?

 

a) 0.111

 

b) 0.081

 

c) 0.131

 

d) 0.121

 

e) 0.101

 

f) None of the above Review Later Question 9

 

The World Health Organization's (W.H.O.) recommended daily minimum of calories is 2600 per individual. The average number of calories ingested per capita per day for the US is approximately 2460 with a standard deviation of 500. If we take a random sample of 81 individuals from the US, what is the probability that the sample mean exceeds the W.H.O. minimum?

 

a) 0.006

 

b) 0.007

 

c) 0.004

 

d) 0.003

 

e) 0.005

 

f) None of the above

 

Review Later Question 10

 

Current research indicates that the distribution of the life expectancies of a certain protozoan is normal with a mean of 43 days and a standard deviation of 10.5 days. Find the probability that a simple random sample of 64 protozoa will have a mean life expectancy of 46 or more days. a) 0.2111

 

b) 0.9889

 

c) 0.6125

 

d) 0.0111

 

e) 0.0223

 

f) None of the above Review Later Question 11

 

Whateffect does decreasing the sample size have on a distribution of sample means? a) It will have more variation

 

b) It will not make any difference

 

c) It will have less variation Review Later Question 12

 

Suppose that a random sample of size 36 is to be selected from a population with mean 43 and standard deviation 6. What is the approximate probability that X will be within 0.5 of the population mean?

 

a) 0.7658

 

b) 0.3829

 

c) 0.5829

 

d) 0.0664

 

e) 0.6171

 

f) None of the above

 

Review Later Question 13

 

Suppose that a random sample of size 49 is to be selected from a population with mean 49 and standard deviation 6. What is the approximate probability that X will be more than 0.5 away from the population mean?

 

a) 0.4403

 

b) 0.6403

 

c) 0.8807

 

d) 0.0664

 

e) 0.5597

 

f) None of the above Review Later Question 14

 

Lloyd's Cereal company packages cereal in 1 pound boxes (16 ounces). A sample of 64 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) 0.0124

 

b) 0.3773 c) 0.2062

 

d) 0.9938

 

e) 0.0062

 

f) None of the above

 

Review Later Question 15

 

In a large population, 67% 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 mean and standard deviation of the sampling distribution of the sample proportions? a) mean = 171.52, standard deviation = 0.0009

 

b) mean = 0.67, standard deviation = 0.6694

 

c) mean = 0.67, standard deviation = 0.0294

 

d) mean = 0.67, standard deviation = 0.0009

 

e) mean = 171.52, standard deviation = 0.0294

 

f) None of the above Review Later Question 16

 

In a large population, 67% 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 73%? a) 0.0206

 

b) 0.4897

 

c) 0.9794

 

d) 0.8796

 

e) 0.1204

 

f) None of the above

 


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