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Statistics Set 2

Total questions: 75

Worksheet time: 1hrs 4mins

Name
Class
Date
1.

What is the standard deviation for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

6.89

b)

10.1

c)

7.26

d)

9

2.

What is the variance for the data given:

5, 10, 7, 12, 0, 20, 15, 22, 8, 2

a)

47.47

b)

102.01

c)

52.77

d)

81

3.
If the standard deviation of a data set is 4, what is the variance?
a)
2
b)
16
c)
4
4.
Which of the following is a measure of variability?
a)
mean
b)
median
c)
mode
d)
standard deviation
5.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
95%
c)
99.7%
d)
50%
6.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)

32%

c)
95%
d)
50%
7.
This data is normally distributed.  What percent of the data is in the shaded region?
a)
68%
b)
32%
c)
16%
d)
50%
8.

The center of the curve represents what value of a data set?

a)

μ = population mean

b)

δ = population standard deviation

c)

Σ= sum of the data values

d)

Ζ = z or standard scores

9.

What's the standard deviation?

a)

150

b)

60

c)

240

d)

30

10.
What does this symbol represent?
a)
Variance
b)
Standard Deviation
c)
Mean Absolute Deviation
d)
Sigma
11.

Given a variance of 64, what is the standard deviation?

a)

8

b)

4096

c)

0

d)

6.8

12.

1. What is the set of statistical method used to describe the relationship between

independent variables and a dependent variable?

a)

a. regression analysis

b)

b. regression equation

c)

c. regression form

d)

d. regression line

13.

The method of least square regression is used to ___________ the residuals.

a)

minimise

b)

maximise

c)

optimise

d)

None of the above.

14.

The purpose of regression analysis is to

a)

obtain a value of X from a value of Y.

b)

illustrate the correlation using the scatterplot.

c)

measure the degree of association between two variables.

d)

predict a value of dependent variable using the value of an independent variable.

15.

What are residuals?

a)

Extreme scores.

b)

The ratio of explained variation to the total variation.

c)

The mean between the observed scores.

d)

The differences between the observed and expected dependent variable scores.

16.

What is the regression equation used for?

a)

To make the graph looks pretty.

b)

To connect the point.

c)

To indicate where all data points should lie.

d)

To make predictions.

17.

the term regression was introduced by....................

a)

R A Fischer

b)

Sir Francis Galton

c)

Karl Pearson

d)

None of these

18.

Linear regression is a statistical regression method which is used for

a)

Predictive Analysis

b)

Real Analysis

c)

Complex Analysis

d)

Functional Analysis

19.

The percent of total variation of the dependent variable Y explained by the set of independent variables X is measured by

a)

Coefficient of Correlation

b)

Coefficient of Skewness

c)

Coefficient of Determination

d)

Standard Error of Estimate

20.

If the Pearson correlation co-efficient R is equal to 1 then

a)

There is a perfect positive relationship between the two variables

b)

There is a negative relationship between the two variables

c)

There is no relationship between the two variables

d)

There is a positive relationship between the two variables

21.

What test statistic is used for a global test of significance?

a)

Z test

b)

t test

c)

Chi-square test

d)

F-test

22.

R-square is a mathematical notation for

a)

Spearman’s Co-efficient of Rank Correlation

b)

Pearson’s Co-efficient of Correlation

c)

The Co-efficient of Determination

d)

The Co-efficient of Variation

23.
Residuals are . . . 
a)
possible models not explored by the researcher
b)
variation in the response variable that is explained by the model
c)
the difference between the observed response and the values predicted by the model
d)
data collected from individuals that is not consistent with the rest of the group
24.

Which of these points appears to be an “Outlier?”

a)

A

b)

B

c)

C

d)

D

25.

This time series plot is an example of:

a)

An increasing trend

b)

Seasonal variation

c)

A decreasing trend

d)

A structural change

26.

This time series plot is an example of:

a)

Seasonality

b)

An increasing trend

c)

Irregular variation

d)

Cyclical variation

27.

This time series plot is an example of:

a)

An increasing trend

b)

Multiple trends

c)

A decreasing trend

d)

A hipster trend

28.

This time series plot is an example of:

a)

Seasonality

b)

Cyclical variation

c)

A decreasing trend

d)

Structural Change

29.

This time series plot is an example of:

a)

Cyclical variation

b)

Irregular change

c)

Seasonality

d)

Multiple trends

30.

This time series plot is an example of:

a)

Cyclical variation

b)

Decreasing trend

c)

Seasonality

d)

Structural change

31.

What is Time Series?

a)

A set of data over a period of time

b)

A set of data over a year

c)

A set of data related with money only

32.

Which one of the following statement BEST describes the time series plot for the period shown?

a)

It shows no trend and no change in variability

b)

It shows increasing linear trend with constant variability

c)

It shows increasing trend with decreasing variability

d)

It shows increasing linear trend with increasing variability

33.

What is the degree of freedom if the sample size is 20?

a)

21

b)

19

c)

20

d)

18

34.

Write the null and alternative hypothesis.

a)

H0: μ1=μ2H_0:\ \mu_1=\mu_2   H1: μ1≠μ2H_1:\ \mu_1\ne\mu_2  

b)

H0: μ1=μ2H_0:\ \mu_1=\mu_2  

H1: μ1<μ2H_1:\ \mu_1<\mu_2  

c)

H0: μ1=μ2H_0:\ \mu_1=\mu_2  

H1: μ1>μ2H_1:\ \mu_1>\mu_2  

35.

Write the null and alternative hypothesis.

a)

H0: μ1=μ2H_0:\ \mu_1=\mu_2   H1: μ1≠μ2H_1:\ \mu_1\ne\mu_2  

b)

H0: μ1=μ2H_0:\ \mu_1=\mu_2  

H1: μ1<μ2H_1:\ \mu_1<\mu_2  

c)

H0: μ1=μ2H_0:\ \mu_1=\mu_2  

H1: μ1>μ2H_1:\ \mu_1>\mu_2  

36.

When should you use the t-test? (select all that apply)

a)

When you are testing a proportion/percentage of a population

b)

When you are testing for a mean

c)

When you are given the population standard deviation

d)

When you are ONLY given the sample standard deviation

37.

What is an one-sample t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

38.

What t-test type compares the means for two groups?

a)

Paired Samples

b)

Independent

c)

Dependent

d)

Mixed

39.

Which best describes a t-test?

a)

It is a type of descriptive statistics.

b)

It is used to determine if there are significant differences.

c)

It can be used as long as the data is not normally distributed

d)

All of the above.

40.

What is an independent t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

41.

Which t-test would be used for this example?

'Comparing employee satisfaction at Company A and Company B'.

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

42.

What is this?

a)

Gaussian Distribution

b)

Bell Distribution

c)

Skewed Distribution

d)

Platykurtic Distribution

43.

Identify the type of Skewness

a)

positive

b)

negative

c)

normal

d)

right skewed

44.

Identify the type of Skewness

a)

positive

b)

negative

c)

normal

d)

left skewed

45.

Identify the type of kurtosis

a)

mesokurtic

b)

platykurtic

c)

leptokurtic

d)

negative

46.

Identify the type of kurtosis

a)

mesokurtic

b)

platykurtic

c)

leptokurtic

d)

positive

47.

Identify the type of kurtosis

a)

mesokurtic

b)

platykurtic

c)

leptokurtic

d)

bell shape

48.

what test is appropriate for extremely large sample size?

a)

z-test

b)

t-test

c)

central limit theorem

d)

cannot be determined

49.
A P-value indicates:
a)
the probability that the null hypothesis is true
b)
the probability that the alternative hypothesis is true
c)
the probability of obtaining the results (or one more extreme) if the null hypothesis is true
d)
probability of a Type I error
50.

A math teacher wants to see if two of her classes have the same distribution of test scores. What test should she use?

a)

Chi-square test for Homogeneity.

b)

Chi-square test for independence.

c)

The goodness-of-fit test

d)

random test

51.
Which test would you use .... In 1974, each acre of the Tahoe basin was assessed to see what condition the soil was in.  23% of acres were of type I, 32% were of type II, 41% were of type III, and 16% were of type IV.  This year the region was assessed again and the number of each type were again determined.
a)
Chi-square Goodness of Fit Test
b)
Chi-Square Test for Homogeneity
c)
Chi-Square Test for Independence/Association
d)
Not a Chi-square test
52.

Do private practice doctors and hospital doctors have the same distribution of working hours? Suppose that a sample of 100 private practice doctors and 150 hospital doctors are selected at random and asked about the number of hours a week they work. The results are shown in Table 11.33.

State the degree of freedom for the distribution

(a)  

53.
Find the degrees of freedom.
a)
4
b)
5
c)
6
d)
7
54.
What are the expected counts of a female who likes Pepsi?
a)
10.5
b)
11
c)
14.5
d)
6.3
55.

ANOVA testing is used for ...

a)

Test for one mean

b)

Test for two means

c)

Test for three or more means

d)

Test for independence between two variables

56.

When should you use the t-test? (select all that apply)

a)

When you are testing a proportion/percentage of a population

b)

When you are testing for a mean

c)

When you are given the population standard deviation

d)

When you are ONLY given the sample standard deviation

57.

When testing with α=0.01\alpha=0.01  you get  p=0.12p=0.12 . Your decision should be 

a)

Reject H0H_0 , there is a significant difference

b)

Acceptundefined, there is NOT a significant difference

c)

Rejectundefined, there is NOT a significant difference

d)

Acceptundefined, there is a significant difference

58.

If you wish to test the claim that the mean of the population is 100, the appropriate alternate hypothesis is

a)

x‾=100\overline{x}=100  

b)

μ=100\mu=100  

c)

μ≠100\mu\ne100  

d)

μ>100\mu>100  

59.

What is a one-sample t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

60.

What is an independent t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

61.

What is a dependent t-test used for?

a)

Comparing means from a sample and a population

b)

Comparing means from two separate samples

c)

Comparing means from two related samples

d)

Comparing means from more than two samples

62.

Which t-test would be used for this example?


Measuring patients' blood sugar before and after they eat a meal

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

63.

Which t-test would be used for this example?


Comparing employee satisfaction at Company A and Company B

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

64.

Which t-test would be used for this example?


Comparing the GPA of students in this class to the average GPA at CSUSB

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

65.

Which t-test would be used for this example?


Comparing reading scores for a classroom of 3rd grade students to a classroom of 5th grade students

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

66.

Which t-test would be used for this example?


Comparing students' reading skills from when they are in 3rd grade to 5th grade

a)

One sample t-test

b)

Independent t-test

c)

Dependent t-test

d)

Variance t-test

67.

____________ includes all of the elements from a set of data while ______________ consists of one or more observations drawn from the population.

(a)  

68.

This refers to the maximum number of logically independent values which varies in the data sample.

a)

Level of significance

b)

Percentiles

c)

Degree of freedom

d)

Probability

69.

What is the other term for t-distribution?

a)

Student’s t-distribution

b)

Percentile distribution

c)

Probability distribution

d)

Z-distribution

70.

This refers to the measure of position with data divided into 100 parts.

a)

Percentiles

b)

Deciles

c)

Quartiles

d)

Median

71.
Match the following Parametric and its corresponding Non Parametric test. Parametric - 1. Independent T-Test, 2. ANOVA, 3. Paired T Test. Non Parametric - a)Wilcoxon, b) Kruskal Wallis, c) Mann Whitney
a)
1-a, 2-b,3-c
b)
1-b, 2-c, 3-a
c)
1-c,2-b, 3-a
72.
In testing for the difference between two populations, it is possible to use
a)
Mann Whitney
b)
Kruskal Wallis
c)
Wilcoxon
d)
None of the above
73.
Three brands of coffee are rated for taste on a scale of 1 to 10. Six persons are asked to rate each brand so that there is a total of 18 observations. The appropriate test to determine if three brand taste equally good is
a)
Mann Whitney
b)
Kruskal Wallis
c)
Wilcoxon
d)
None of the above
74.
The Mann-Whitney U test is preferred to a t-test when
a)
Data are paired
b)
Sample sizes are small
c)
The assumption of normality is not met
d)
 Sample is dependent
75.
Which statistical measure of central tendency is used for Non Parametric test
a)
Mean
b)
Median
c)
Mode

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