Question 1

Use the following information to answer questions 1 and 2.

Suppose that x has a normal distribution with a mean of 20 and a standard deviation of 3.Random samples of size 36 are drawn. What is the probability that the next sample taken will have a value greater than 20.5?

Group of answer choices

56.75%

15.87%

43.25%

84.13%

2.What is the probability that the next sample taken will have anaveragevalue less than 17?

Group of answer choices

15.8%

31.74%

100%

0%

3.A given binomial experiment with 40 trials has a probability of success of p = 0.85.Whyis it appropriate to use a normal approximation to this binomial distribution?

Group of answer choices

np > 5

np > 5 and nq > 5

nq > 5

n > 40

4.A given binomial experiment with 50 trials has a probability of success of 0.75. What is the probability that the next binomial experiment with 50 trials will have less than 32 successes? Apply a normal approximation!

Group of answer choices

0.82%

42.56%

2.5%

21.28%

5.Approximately 64% of the people murdered actually knew their murderer.Given 63 current unsolved murders, what is the probability that at least (equal to and more than) 35 victims knew their murderer? Note that this is an approximation.

Group of answer choices

6.31%

91.92%

89.71%

93.69%

6.With repeated sampling, the average of the averages of each sample taken will approach the _________________________-.

Group of answer choices

mean of the population

average of the all sample average

All the above.

average of the population

7.The distribution of the averages of repeated samples taken over time will________________________.

Group of answer choices

a straight line

be skewed like the population data

aproximate a normal distribution

be multimodal

8.The standard deviation of the distribution of the average of the averages of samples taken over time will be _______________________ than the standard deviation of the distribution of population.

Group of answer choices

smaller than

the same as

greater than

unknown compared to

9.Suppose x has a population distribution with a mean of 14.78 and a standard deviation of 27.9.Random samples of size 36 are taken.Compute approximate the standard deviation of the averages of sampling distribution.

Group of answer choices

2.785

13.95

27.9

4.65

10.The criteria for utilizing a normal approximation to a binomial distribution is that ______________________________-.

Group of answer choices

np>5 and nq>5

np>5

nq>5

1p>5