b stat handout 3

Which of the following distributions can be either discrete or continuous?

uniform

Which of the following is a characteristic of the binomial distribution?

2 outcomes
independent outcomes
draw with replacement

Which of the following is a characteristic of all normal distributions

mean can be positive or negative
variance and sd must be positive

The standard deviation of the standard normal distribution is equal to:

one

For a discrete probability distribution, the probability that a random variable is equal to a specific value is __________. For a continuous probability distribution, the probability that a random variable is equal to a specific value is ________.

greater than zero
equal to zero

A probability problem involving time or distance would use a ______________ probability distribution. A probability problem involving two outcomes would use a _______________ probability distribution.

discrete or continous
discrete

For a standard normal distribution, a negative value of z indicates a z that ___________ of the mean. The standard deviation of a standard normal distribution is equal to ___________.

is to the left
one

When sampling without replacement, the probability of obtaining a certain sample is best given by a ___________________ distribution.

hypergeometric

Which of the following corresponds to the Central Limit Theorem

as n gets larger the sampling distribution of the mean has a normal distribution

Which of the following corresponds to the property of Consistency

as n gets larger the expected value of the estimator gets closer to the parameter

The standard deviation of a sample is determined to be equal to 60. The standard deviation of the population:

can be greater, less than, or equal to 60

.The standard deviation of a population is equal to 45. The standard error will be:

less than 45

A population has a mean of 75 and a standard deviation of 10. The expected value of x-bar will be

75

The sampling error is the difference between:

x bar - u

A simple random sample of 100 observations was taken from a large population. The sample mean and the standard deviation were determined to be 80 and 12 respectively. The standard error of the mean is

12/10

A small sampling error occurs if the __________ is close to the _________.

sample mean
population mean

As the sample size increases, the standard error of the mean ____________.

decreases

The sample statistic s is the point estimator of _____________.

sigma

The expected value of the random variable is ___________.

u

A population has a mean of 75 and a standard deviation of 8. A random sample of 800 is selected. The expected value of is _____________.

75

The standard deviation of a sample of 100 elements taken from a very large population is determined to be 60. The variance of the population will be larger than 60. (true or false)

false

The sampling distribution of the sample mean ( ) is distribution of ______________ of x-bar for a given sample size.

all possible sample

A parameter is a characteristic of the ____________. A point estimate is a characteristic of a ___________. The standard error is the standard deviation of ________________

population
sample
distribution of x bar

A sample statistic, such as a sample mean, is known as a _____________.

point estimator

A single numerical value used as an estimate of a population parameter is known as ____________.

point estimate

A simple random sample of 64 observations was taken from a large population. The sample mean and the standard deviation were determined to be 320 and 120 respectively. The standard error of the mean is _____________.

120/8

Random samples of size 81 are taken from an infinite population whose mean and standard deviation are 200 and 18, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are _______________.

18/9

if there are two estimators, the _______ estimator is the one with the smaller standard error

efficient estimator