Question 1 (5 points)

Title: MathMod-20-08 A basic inference about samples and populations is that:

a	sample = n
b	= n
c	= n
d	p

Question 2 (5 points)

Title: MathMod-20-07 What is a parameter?

a	The smallest number that be used in order to have an effective sample.
b	A piece of information that is measured from a population or a sample
c	The percent of a population that does not fit a required characteristic.
d	A long term decision that is to be made based on the measure of a sample.

Question 3 (5 points)

Title: MathMod-20a-09 A sample of 20 people is selected. Of the 20 people in the sample, 14 support a new law. What is the point estimate of the sample?

a
b
c
d

Question 4 (5 points)

Title: MathMod-20a-11 A sample of 50 people is selected. Of the 50 people in the sample, 35 support a new law. What is the point estimate of the sample?

a
b
c
d

Question 5 (5 points)

Title: MathMod-20a-08 Which of the following is a definition for a point estimator?

a	The approximate number of items in a sample.
b	A single value that is used to approximate a population parameter.
c	An approximate confidence level for a proportion of a sample
d	An approximate number of people in a population.

Question 6 (5 points)

Title: MathMod-20b-13 Using a normal distribution, approximately how far from will encompass 99% of the data?

a	1
b	2
c	3
d	4

Question 7 (5 points)

Title: MathMod-20b-10 Using a normal distribution, approximately how far from will encompass 95% of the data?

a
b
c
d

Question 8 (5 points)

Title: MathMod-20c-08 Which of the following is a true statement?

a	If a null hypothesis is rejected, then it cannot be true.
b	If a null hypothesis fails to be rejected, then it must be true
c	If a null hypothesis fails to be rejected, it can still be false.
d	If a null hypothesis is rejected then the alternative hypothesis must be true.

Question 9 (5 points)

Title: MathMod-20c-10 You want to decide whether a coin is fair. You flip the coin several times. What is the alternative hypothesis?

a	H0: The coin is not fair
b	H0: The coin is fair
c	H: The coin is not fair
d	H: The coin is fair

Question 10 (5 points)

Title: MathMod-20c-07 Which of the following is a true statement regarding a null hypothesis?

a	A null hypothesis implies that there is no outside force or effect that alters an outcome.
b	A null hypothesis implies that there is an outside force or effect that alters an outcome.
c	A null hypothesis implies that there the chance of an outcome is 0.
d	A null hypothesis implies that a certain outcome is guaranteed to happen.

Question 11 (5 points)

Title: MathMod-20d-08 Which of the following is true about a 5% significance level?

a	A 5% significance level means that you can be 5% confident that the population parameters are the same as the sample.
b	A 5% significance level means that 5% of the population will fit into the confidence interval.
c	A 5% significance level means that the null hypothesis will be rejected.
d	A 5% significance level means that the measured parameters of a sample or a population will fall withing a 95% confidence interval.

Question 12 (5 points)

Title: MathMod-20d-07 If a confidence level is decided upon to be 95%, what is the significance level?

a	95%
b	50%
c	20%
d	5%

Question 13 (5 points)

Title: MathMod-21-09 A company wants to find out information about a population. They mail every adult person in the population a questionnaire. They receive 65% of the questionnaires back. What type of error is the company experiencing?

a	Convenience sampling
b	Random errors
c	Sample size error
d	Nonrespondent bias

Question 14 (5 points)

Title: MathMod-21-06 A company wants to conduct a survey of a population. Because the population is large the company selects several samples using simple random sampling and compares results. The results show minor errors when compared. What type error is the company experiencing?

a	Sample size error
b	Random errors
c	Bias
d	None of the above

Question 15 (5 points)

Title: MathMod-21-04 Which of the following describes errors that are associated with weaknesses in a design or plan?

a	Nonrespondents
b	Random errors
c	Bias
d	None of the above

Question 16 (5 points)

Title: MathMod-21-01 Which of the following is true concerning reliability?

a	Reliability is like accuracy. It refers to whether or not results really do represent what they are supposed to measure.
b	Reliability means that statistics measures are free from errors.
c	Reliability is like precision. It refers to whether or not results of a study can be duplicated under the same conditions.
d	Reliability means that the sample size is large enough to allow of dependable measures.

Question 17 (5 points)

Title: MathMod-21-02 Which of the following is true concerning validity?

a	Validity is like accuracy. It refers to whether or not results really do represent what they are supposed to measure.
b	Validity means that statistics measures are free from errors.
c	Validity is like precision. It refers to whether or not results of a study can be duplicated under the same conditions.
d	Validity means that the sample size is large enough to allow of dependable measures.

Question 18 (5 points)

Title: MathMod-22-02 A city is divided into 5 districts. The city council wishes to get the population's opinion about a proposed building project. They randomly select 2 of the 5 districts and then randomly select people from those 2 districts to make up a sample. What type of sampling has been employed?

a	Systematic sampling
b	Stratified random sampling
c	Cluster sampling
d	Simple random sampling

Question 19 (5 points)

Title: MathMod-22-04 A certain high school operates on a 6-period day (meaning that each student takes 6 classes during the day.) The school wants to get an idea about the height of an average student at the school. A questionnaire is passed around all English classes for every grade level during a certain time period. Every student responded to the survey. The mean of the sample is 5.8 feet with a standard deviation of 0.1 feet. The 95% confidence interval is 5.6 feet to 6 feet. Are the results valid and why?

a	The results are not valid because the sample size is too small.
b	The results are not valid because of bias in the sample selection.
c	The results are valid because there are no nonrespondents.
d	The results are valid because cluster sampling was employed to help remove bias.

Question 20 (5 points)

Title: MathMod-22-01 A city council wishes to get the population's opinion about a proposed building project. They intend to select a sample of 100 people. The city council knows ahead of time that there is a possible wide difference of opinion among age groups. 25% of the population is aged 20-35, 30% of the population is aged 36-50, and 27 percent of the population is aged 51 and older. To avoid bias, what type of sampling should be employed?

a	Systematic sampling
b	Stratified random sampling
c	Cluster sampling
d	Simple random sampling