STATISTICS EXAM

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test_week_5_jar.docx

1

​A linear regression:

· Correct Answer

​gives a relationship between three variables that can be described by a line

· Correct Answer

​gives a relationship between two variables that cannot be described by a line

· Correct Answer

​contains only two variables

· Correct Answer

​gives a relationship between two variables that can be described by a line

2

In a hypothesis test, a Type I error occurs when:​

· Correct Answer

​a false null hypothesis is rejected

· Correct Answer

​a false null hypothesis is not rejected

· Correct Answer

​a true null hypothesis is rejected

· Correct Answer

​a true null hypothesis is not rejected

3

​For small degrees of freedom, the chi-square distribution is:

· Correct Answer

​skewed to the right 

· Correct Answer

​symmetric

· Correct Answer

​skewed to the left

· Correct Answer

​rectangular

4

​What is the critical value of t for the hypothesis test?

· Correct Answer

​2.441

· Correct Answer

​2.733

· Correct Answer

​2.449

· Correct Answer

​2.738

5

​A quantitative variable is the only type of variable that can:

· Correct Answer

​have no intermediate values 

· Correct Answer

​assume numeric values for which arithmetic operations make sense

· Correct Answer

​be used to prepare tables 

· Correct Answer

​be graphed 

6

​The alternative hypothesis is a claim about a:

· Correct Answer

​parameter, where the claim is assumed to be true if the null hypothesis is declared false

· Correct Answer

​parameter, where the claim is assumed to be true until it is declared false

· Correct Answer

​statistic, where the claim is assumed to be true if the null hypothesis is declared false

· Correct Answer

​statistic, where the claim is assumed to be false until it is declared true

Which of the following pairs of events are mutually exclusive?

· Correct Answer

​Female and no

· Correct Answer

No and yes

· Correct Answer

​Female and male

· Correct Answer

​Female and yes

8

​For a goodness-of-fit test, the frequencies obtained from the performance of an experiment are the:

· Correct Answer

​objective frequencies

· Correct Answer

​observed frequencies

· Correct Answer

​expected frequencies

· Correct Answer

​subjective frequencies

9

​You toss a coin nine times and observe 3 heads and 6 tails. This event is a:

· Correct Answer

​multinomial sample point

· Correct Answer

simple event

· Correct Answer

​compound event

· Correct Answer

​multiple outcome

10

​Two paired or matched samples would imply that:

· Correct Answer

​two data values are collected from the same source (elements) for two independent samples

· Correct Answer

​two data values are collected from the same source (elements) for two dependent samples

· Correct Answer

​data are collected on two variables from the elements of two independent samples

· Correct Answer

​data are collected on one variable from the elements of two independent samples

11

​The model y = A + Bx is a:

· Correct Answer

​nonlinear model

· Correct Answer

​probabilistic model

· Correct Answer

​deterministic model

· Correct Answer

​stochastic model

12

An error that occurs because of chance is called: ​

· Correct Answer

​nonsampling error 

· Correct Answer

​probability error 

· Correct Answer

​sampling error 

· Correct Answer

​mean error 

13

​To make tests of hypotheses about more than two population means, we use the: 

· Correct Answer

analysis of variance distribution

· Correct Answer

​normal distribution

· Correct Answer

chi-square distribution

· Correct Answer

t distribution

14

​The regression model y = A + Bx + e is: 

· Correct Answer

​a probabilistic model 

· Correct Answer

​a deterministic model

· Correct Answer

an exact relationship

· Correct Answer

a nonlinear model

15

A qualitative variable is the only type of variable that:​

· Correct Answer

​cannot be graphed

· Correct Answer

​can assume an uncountable set of values

· Correct Answer

​can assume numerical values

· Correct Answer

​cannot be measured numerically

16

​A researcher wants to test if the mean annual salary of all lawyers in a city is different than $110,000. The null hypothesis for this example will be that the population mean is:

· Correct Answer

​less than to $110,000

· Correct Answer

​greater than to $110,000

· Correct Answer

​equal to $110,000

· Correct Answer

not equal to $110,000

17

​The mean of a discrete random variable is the mean of its:

· Correct Answer

​frequency distribution

· Correct Answer

second and third quartiles

· Correct Answer

​percentage distribution

· Correct Answer

​probability distribution

18

​The graph of a cumulative frequency distribution is a(n):

· Correct Answer

​ogive

· Correct Answer

​frequency histogram

· Correct Answer

​stem-and-leaf display

· Correct Answer

​line graph

18

​The graph of a cumulative frequency distribution is a(n):

· Correct Answer

​ogive

· Correct Answer

​frequency histogram

· Correct Answer

​stem-and-leaf display

· Correct Answer

​line graph

19

​In a hypothesis test, a Type II error occurs when:

· Correct Answer

​a true null hypothesis is rejected

· Correct Answer

​a true null hypothesis is not rejected

· Correct Answer

​a false null hypothesis is not rejected

· Correct Answer

​a false null hypothesis is rejected

20

​For a one-tailed test, the p-value is:

· Correct Answer

​the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis

· Correct Answer

​twice the area under the curve between the mean and the observed value of the sample statistic

· Correct Answer

​the area under the curve between the mean and the observed value of the sample statistic

· Correct Answer

​twice the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis

21

​We can use the analysis of variance procedure to test hypotheses about:

· Correct Answer

​two or more population means

· Correct Answer

​the proportion of one population

· Correct Answer

​the mean of one population

· Correct Answer

​two or more population proportions

22

​The p-value is the:

· Correct Answer

​smallest significance level at which the null hypothesis can be rejected

· Correct Answer

​smallest significance level at which the null hypothesis can be rejected

· Correct Answer

​largest significance level at which the null hypothesis can be rejected

· Correct Answer

​largest significance level at which the alternative hypothesis can be rejected

23

​If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, the dividend is the:

· Correct Answer

​sample proportion 

· Correct Answer

​sample distribution 

· Correct Answer

​sampling distribution 

· Correct Answer

​sample mean 

24

​In a one-way ANOVA, we analyze only one:

· Correct Answer

​variable

· Correct Answer

​population

· Correct Answer

​sample

· Correct Answer

​mean

25

The mean of a discrete random variable is its:

· Correct Answer

​upper hinge

· Correct Answer

​second quartile

· Correct Answer

​box-and-whisker measure

· Correct Answer

​expected value

26

​You randomly select two households and observe whether or not they own a telephone answering machine. Which of the following is a simple event?

· Correct Answer

​At least one of them owns a telephone answering machine.

· Correct Answer

​Exactly one of them owns a telephone answering machine.

· Correct Answer

​At most one of them owns a telephone answering machine.

· Correct Answer

​Neither of the two owns a telephone answering machine.

27

​A researcher wants to test if elementary school children spend less than 30 minutes per day on homework. The alternative hypothesis for this example will be that the population mean is:

· Correct Answer

​not equal to 30 minutes

· Correct Answer

​equal to 30 minutes

· Correct Answer

​less than or equal to 30 minutes

· Correct Answer

​less than 30 minutes

28

​A continuous random variable x has a right-skewed distribution with a mean of 80 and a standard deviation of 12. The sampling distribution of the sample mean for a sample of 50 elements taken from this population is:

· Correct Answer

​skewed to the right

· Correct Answer

​not normal

· Correct Answer

​approximately normal

· Correct Answer

​skewed to the left

29

​Which of the following assumptions is not required to use ANOVA?

· Correct Answer

​The samples drawn from different populations are random and independent.

· Correct Answer

​The populations from which the samples are drawn have the same variance.

· Correct Answer

​The populations from which the samples are drawn are (approximately) normally distributed.

· Correct Answer

​All samples are of the same size.

30

​What is the critical value of z for the hypothesis test?

· Correct Answer

​-2.05

· Correct Answer

​-2.17

· Correct Answer

​-2.33

· Correct Answer

​-1.96