QMB 3200 Final Latest Questions Pack and Solutions (Top Score A+)

QMB 3200 Final Latest Questions Pack
and Solutions (Top Score A+)
• How many simple random samples of size 5 can be selected from a population of size
8? -✓✓56
(8*7*6)/(1*2*3)

• Cluster sampling is: -✓✓A probability sampling method

• The distribution of values taken by a statistic in all possible samples of the same size
from the same population is the sampling distribution of: -✓✓the sample

• A random sample of 150 people was taken from a very large population. Ninety of the
people in the sample were female. The standard error of the proportion is: -✓✓.0400

sqrt(.6)(.4)/150)

• Parameters are: -✓✓numerical characteristics of a population.

• A sample of 66 observations will be taken from an infinite population. The population
proportion equals .12. The probability that the sample proportion will be less than .1768
is: -✓✓.92

sqrt(.12)(.88)/66) = 0.04
Z= Sample proportion-population proportion/ .04 = 1.42
find 1.42 in z table

• The value of the _____ is used to estimate the value of the population parameter. -
✓✓sample statistic

• 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: -✓✓1.20

σx̅= sigma/sqrt(n)
12/sqrt(100)

• In a survey of public opinion concerning state aid to a particular city, every 40th person
registered as a voter was interviewed, beginning with a person selected at random from
among the first 40 listed. This is an example of: -✓✓systematic sampling

• In computing the standard error of the mean, the finite population correction factor is
used when: -✓✓n/N > 0.5

, • The central limit theorem states that: -✓✓if the sample size n is large, then the
sampling distribution of the sample mean can be approximated by a normal distribution.

• In a recent Gallup Poll, the decision was made to increase the size of its random
sample of voters from 1500 people to about 4000 people. The purpose of this increase
is to: -✓✓reduce the standard error of the estimate.

• A random sample of 121 bottles of cologne showed an average content of 4 ounces. It
is known that the standard deviation of the contents (i.e., of the population) is .22
ounces. In this problem, the value .22 ounces is: -✓✓a parameter

• Which of the following is not a symbol for a parameter? -✓✓s, standard deviation of a
SAMPLE

• Random samples of size 100 are taken from an infinite population whose population
proportion is .2. The mean and standard deviation of the sample proportion are: -✓✓.2
and .04

sqrt((.2)(.8)/100)

• The central limit theorem is important in Statistics because it: -✓✓enables reasonably
accurate probabilities to be determined for events involving the sample average when
the sample size is large regardless of the distribution of the variable.

• Which of the following statements regarding the sampling distribution of sample means
is incorrect? -✓✓The standard deviation of the sampling distribution is the standard
deviation of the population.

• For a(n) _____ , it is impossible to construct a sampling frame. -✓✓infinite population

• In stratified random sampling: -✓✓randomly selected elements within each of the
strata form the sample.

• There are 6 children in a family. The number of children defines a population. The
number of simple random samples of size 2 (without replacement) that are possible is
equal to: -✓✓15

(6*5)/(1*2)

• As the sample size increases, the: -✓✓standard error of the mean decreases.

• A sample of 400 observations will be taken from an infinite population. The population
proportion equals .8. The probability that the sample proportion will be greater than .83
is: -✓✓.0668