Deck 12: Statistical Analysis Questions in ANOVA and Rank-Sum Test

Question 1

Find the critical value at the level for the following sample, for testing m= 41 versus

A) 4
B) 1
C) 3
D) 2

Answer 1

1

Question 2

A wild life biologist believes that the median length of the fish in a lake is 35 cm. )

Answer 2

D

Question 3

Monthly rents were recorded for a sample of 36 apartments in a certain city. ) were as follows.

Answer 3

Question 4

The owners of a coffee stand hypothesize that the median number of sales during

Question 5

A sample of 10 students took a class online and 12 students took an equivalent class in a

Question 6

Fill in the blank with the appropriate word or phrase.The null hypothesis for the rank-sum test is that the two population ?

A)rank-sums
B)modes
C)means
D)medians

Question 7

Given
find the P -value.

A) 0.0571
B) 0.0286
C) 0.1142
D) 0.9429

Question 8

The sign test is performed to test
There are 17 positive signs and 21 negative signs in a test involving 38 samples. What is the value of the test statistic?

A) -0.65
B) 0.65
C) -0.49
D) 0.81

Question 9

feet

Question 10

The following data was collected as part of a study examining whether there is a

Question 11

Given
find the P -value.

A) 0.9599
B) 0.0802
C) 0.0201
D) 0.0401

Question 12

The sign test is performed to test
There are 15 positive signs and 7 negative signs. What is the value of the test statistic?

A) 15
B) -8
C) 7
D) 8

Question 13

Find the critical value at the level for the following sample, for testing m= 48 versus

A) 2
B) 4
C) 3
D) 1

Question 14

Given compute

A) -0.61
B) 277.5
C) 37
D) 31.16

Question 15

The following data was collected as part of a study examining whether there is a difference

Question 16

Given compute z .

A) 0.74
B) 1.28
C) 17.95
D) 2.22

Question 17

The length of time that customers spent eating dinner was compared with and without music

Question 18

Six second-graders tried tossing a ball into a basket ten times each. )

Question 19

Fill in the blank with the appropriate word or phrase.
When performing the Rank-sum test we reject the null hypothesis when ?

A)
B)
C)
D)

Question 20

Given compute

A) 338
B) 0.36
C) 307.5
D) 35.79

Question 21

In a one-way ANOVA, the following data were collected: SSTr=0.24, S S E=1.52 , N=21, I=5 .
Compute the mean squares MSTr.

A) 0.0600
B) 0.6316
C) 0.0950
D) 0.0150

Question 22

In a one-way ANOVA, the following data were collected: SSTr=0.49, S S E=2.38 , N=22, I=5 .
How many samples are there?

A) 17
B) 4
C) 22
D) 5

Question 23

Samples were drawn from three populations. The sample sizes were and
The sample means were The sample standard deviations were
The grand mean is
Compute the mean squares MSTr.

A) 0.5932
B) 4.7259
C) 2.1337
D) 1.1863

Question 24

In a one-way ANOVA, the following data were collected: SSTr=0.41, S S E=2.07 , N=26, I=6 .
How many degrees of freedom are there for SSTr?

A) 5
B) 6
C) 20
D) 26

Question 25

Samples were drawn from three populations. The sample sizes were
The sample means were the sample standard deviations were and The grand mean is
Compute the sum of squares SSTr.

A) 1.4976
B) 0.3184
C) 1.5944
D) 0.1592

Question 26

Ten subjects were weighed before and after a new diet. )

Question 27

Samples were drawn from three populations. The sample sizes were
and The sample means were The sample standard deviations were The grand mean is
Compute the sum of squares SSE.

A) 0.9516
B) 2.9701
C) 2.7233
D) 0.4758

Question 28

A sample of eight people attended a two day course that prepares students for college admission

Question 29

Samples were drawn from three populations. The sample sizes were and The sample means were The sample standard deviations were
The grand mean is
Compute the mean squares MSE.

A) 0.8216
B) 0.4108
C) 0.1373
D) 1.9220

Question 30

In a one-way ANOVA, the following data were collected: SSTr=0.34, S S E=2.33 , N=35, I=4 .
Compute the mean squares M S E .

A) 0.0752
B) 0.0110
C) 1.5079
D) 0.1133

Question 31

For the following data, compute the test statistic and the critical value, and determine whether to reject at the level.

A) S=10 , Critical value is 6, Do not reject
B) S=10 , Critical value is 6, Reject
C) S=11 , Critical value is 4 , Do not reject
D) S=11 , Critical value is 4 , Reject

Question 32

For the following data, compute the test statistic and the critical value, and determine whether to reject at the level.

A) S=36 , Critical value is 6, Do not reject
B) S=0 , Critical value is 4, Reject
C) S=0 , Critical value is 6, Do not reject
D) S=36 , Critical value is 4, Reject

Question 33

Samples were drawn from three populations. The sample sizes were
and The sample means were The sample standard deviations were The grand mean is
How many degrees of freedom are there for SSTr.

A) 2
B) 3
C) 16
D) 15

Question 34

For the following data, compute the test statistic and the critical value, and determine whether to reject at the level.

A) S=7 , Critical value is 4, Do not reject
B) S=6 , Critical value is 8, Reject
C) S=7 , Critical value is 4, Reject
D) S=6 , Critical value is 8, Do not reject

Question 35

Samples were drawn from three populations. The sample sizes were
and The sample means were The sample standard deviations were The grand mean is
How many degrees of freedom are there for SSE.

A) 13
B) 12
C) 3
D) 2

Question 36

In a one-way ANOVA, the following data were collected: SSTr=0.21, SSE=2.49 , N=24, I=3.
How many degrees of freedom are there for SSE?

A) 24
B) 3
C) 2
D) 21

Question 37

If the test value for a signed-rank test is 7 , the sample size is 9 , and the test is to be carried out at the level of significance, should the null hypothesis be rejected? Use the table of critical values for the signed-rank test below.

A) Do not reject because the test value 7 is greater than the critical value 6 .
B) Do not reject because the test value 7 is less than the critical value 8 .
C) Reject because the test value 7 is greater than the critical value 6 .
D) Reject because the test value 7 is less than the critical value 8 .

Question 38

Samples were drawn from three populations. The sample sizes were and The sample means were The sample standard deviations were
The grand mean is
Compute the value of the test statistic F .

A) 2.125
B) 0.480
C) 0.064
D) 0.127

Question 39

A consumer advice web site tested a fuel additive. )

Question 40

In a one-way ANOVA, the following data were collected: SSTr=0.23, S S E=2.15 , N=33, I=6 .
Compute the value of the test statistic F .

A) 0.0796
B) 0.5777
C) 0.0460
D) 0.0085

Question 41

Artificial hip joints consist of a ball and socket. As the joint wears, the ball (head)

Question 42

In a water-bottling facility,) drinking water. The following TI-84 Plus display presents the results of a one-way

Question 43

In a water-bottling facility,)

Question 44

An experiment is conducted to study the effects of curing times and curing temperatures

Question 45

In a water-bottling facility,)

Question 46

Artificial hip joints consist of a ball and socket. )

Question 47

In a water-bottling facility,)

Question 48

In a water-bottling facility,)

Question 49

The following table shows the weekly total sales (in dollars)at a small roadside vegetable stand

Question 50

An experiment is conducted to study the effects of curing times and curing temperatures

Question 51

In a water-bottling facility,)

Question 52

level

Question 53

In a water-bottling facility,)

Question 54

An experiment is conducted to study the effects of curing times and curing temperatures Can you reject the hypothesis of no interactions?

A)Yes
B)No

Question 55

The following table shows the weekly total sales (in dollars)at a small roadside

Question 56

The following table shows the weekly total sales (in dollars)at a small roadside

Question 57

An experiment is conducted to study the effects of curing times and curing

Question 58

Interpret the interaction plot by explaining whether there appear to be large interactions

Question 59

In a water-bottling facility,)

Question 60

Artificial hip joints consist of a ball and socket. )

Question 61

The summary statistics for a certain set of points are:

Assume the conditions of the linear model hold A 99% confidence interval for will be constructed.
Construct the 99% confidence interval.

A)
B)
C)
D)

Question 62

What is the critical value?

A)2.947
B)2.624
C)2.602
D)2.977

Question 63

What is the margin of error?

A)28.374080
B)1.011635
C)1.226753
D)1.232567

Question 64

Use the given set of points to construct a 95% confidence interval for

A)
B)
C)
D)

Question 65

Use the given set of points to compute the sum of squares for x ,

A) 10.1596
B) 23.5000
C) 1.4149
D) 1.7238

Question 66

Use the given set of points to compute

A) 1.8401
B) 2.7257
C) 89.8750
D) 6.4145

Question 67

How many degrees of freedom are there for the critical value?

A)24
B)23
C)22
D)21

Question 68

The summary statistics for a certain set of points are: n=13 ,
Assume the conditions of the linear model hold A
99% confidence interval for will be constructed.
Test the null hypothesis
Use the level of significance.

A) Do not reject
B) Reject

Question 69

An agricultural scientist performs a 2-way ANOVA to determine the effects of three different soil mixtures on the sprouting time (in days)of three varieties of hybrid

Question 70

The following table presents measurements of the tensile strength (in kilopascals)of

Question 71

An agricultural scientist performs a 2-way ANOVA to determine the effects of three different

Question 72

The following table presents measurements of the tensile strength (in kilopascals)of Can you reject the hypothesis of no interactions?

A)Yes
B)No

Question 73

An agricultural scientist performs a 2-way ANOVA to determine the effects of three different Can you reject the hypothesis of no interactions?

A)Yes
B)No

Question 74

The summary statistics for a certain set of points are: n=17 ,
Assume the conditions of the linear model
hold A 95% confidence interval for will be constructed.
i). How many degrees of freedom are there for the critical value?
ii). What is the critical value?
iii). What is the margin of error?
iv). Construct the 95 % confidence interval.

Question 75

The following table presents measurements of the tensile strength (in kilopascals)of

Question 76

The following table presents measurements of the tensile strength (in kilopascals)of

Question 77

Use the given set of points to compute the margin of error for a 95% confidence interval for

A) 2.2860
B) 0.5409
C) 1.3236
D) 4.4235

Question 78

An agricultural scientist performs a 2-way ANOVA to determine the effects of three different

Question 79

Use the given set of points to compute the standard error of

A) 2.5043
B) 50.0000
C) 0.3542
D) 1.9300

Question 80

Use the given set of points to compute the residual standard deviation

A) 44.8750
B) 2.5696
C) 7.9164
D) 1.6379