Statistics Chapter 7

A population contains eight members. The total number of samples of size 3 that can be drawn
(without replacement) from this population is:

56

The mean age of all students at a university is 24 years. The mean age of a random sample of
100 students selected from this university is found to be 23.6 years. The difference 23.6 - 24
=.4 is called the _________ error.

sampling

As the sample size increases, the standard deviation of the sampling distribution of the sample
mean:

decreases

For a continuous random variable x, the population mean and the population standard deviation
are 80 and 15 respectively. The mean of the sampling distribution of the sample mean for a
sample of 25 elements taken from this population is:

80

For a continuous random variable x, the population mean and the population standard
deviation are 100 and 20 respectively. Assuming n/N is less than or equal to .05, the standard
deviation of the sampling distribution of the sample mean for a sample of 16

5

If the population from which samples are drawn is not normally distributed, then the sampling
distribution of the sample mean is:

approximately normally distributed if n is 30 or larger

To apply the central limit theorem to the sampling distribution of the sample mean, the
sample is considered to be large if n is

30 or larger

A population has a mean of 100 and a standard deviation of 27. Assuming that n/N is less than
or equal to .05, the probability that the sample mean of a sample of 81 elements selected from
this population will be between 91 and 97 is:

.1574

A population has a normal distribution with a mean of 48 and a standard deviation of 9.
Assuming that n/N is less than or equal to .05, the probability that the sample mean for a
sample of 25 elements selected from this population will be more than 51.15

.7814

The time spent commuting from home to work for all employees of a very large company has
a normal distribution with a mean of 42 minutes and a standard deviation of 12 minutes. The
mean time spent commuting from home to work of the sampling distribution o

42

The time spent commuting from home to work for all employees of a very large company has
a normal distribution with a mean of 42 minutes and a standard deviation of 12 minutes. The
probability that the mean time spent commuting from home to work by a samp

.3301

The number of elements in a sample with a specific characteristic divided by the total number
of elements in the sample is called:

the sample proportion

In the case of proportion, the sample size is large if

np and nq are both greater than 5

A company that provides financial services prides itself on the percentage of college
graduates it employs. It has 500 employees and 200 of them are college graduates. The
proportion of all employees who are college graduates is:

.40

Forty percent of all students at a large university live on campus. Suppose a sample of 100
students is selected from this university and the sample proportion is defined as the
proportion of students in this sample who live on campus. The mean of the sam

.40

Forty percent of all students at a large university live on campus. Suppose a sample of 100
students is selected from this university and the sample proportion is defined as the
proportion of students in this sample who live on campus. The standard deviat

.049

Suppose the proportion of elements of a population that possess a certain characteristic is .60.
Assuming that n/N is less than or equal to .05, the probability that the sample proportion for a
sample of 100 elements drawn from this population is between

.2645

. Twenty percent of all persons prefer strawberry to chocolate ice cream. Suppose a sample of
400 people is selected from the population. The variance of the sampling distribution of this
sample proportion is:

.0004

Twenty percent of all persons prefer strawberry to chocolate ice cream. The probability that
less than 18% of persons in a sample of 1000 will choose strawberry over chocolate ice
cream is approximately:

.0559

Ten percent of all persons are allergic to penicillin. The probability that less than 8% of
persons in a sample of 1000 will be allergic to penicillin is approximately

.0174

Ten percent of all persons are allergic to penicillin. The probability that more than 8% of
persons in a sample of 1000 will be allergic to penicillin is approximately:

.9826

Twenty percent of all adult males did not visit their physicians' offices last year. The
probability that less than 23% of adult males in a sample of 800 did not visit their physicians'
offices last year is approximately:

.9834