Deck 9: Testing the Difference Between Two Means, Two Variances, and Two Proportions

Question 1

ol. As

A) -0.66
B) -3.90
C) 0.39
D) -0.26

Answer 1

D

Question 2

A) -2.58
B) -2.33
C) -1.65
D) -1.96

Answer 2

C

Question 3

Answer 3

Question 4

A) The data does not support the conclusion that the average pine tree trunks are larger because the test value 24.54 is greater than than the critical value 1.65.
B) The data supports the conclusion that the average pine tree trunks are larger because the test value 2.94 is greater than than the critical value 1.28.
C) The data does not support the conclusion that the average pine tree trunks are larger because the test value 1.44 is greater than than the critical value 1.28.
D) The data supports the conclusion that the average pine tree trunks are larger because the test value 2.94 is greater than than the critical value 1.65.

Question 5

Question 6

A) -5.38
B) -1.86
C) -3.70
D) -0.47

Question 7

Question 8

A) The data supports the claim because the test value 3.30 is greater than the critical value 1.65.
B) The data supports the claim because the test value 3.30 is greater than the critical value 1.96.
C) The data supports the claim because the test value 1.82 is less than the critical value 1.96.
D) The data supports the claim because the test value 1.82 is greater than the critical value 1.65.

Question 9

Question 10

Question 11

Question 12

A) 9.51
B) 1.21
C) 0.22
D) 2.10

Question 13

Question 14

Question 15

A) Accept the null hypothesis.
B) Reject the alternative hypothesis.
C) Reject the null hypothesis.
D) Accept the equality hypothesis.

Question 16

Question 17

A) 15
B) 16
C) 11
D) 14

Question 18

Question 19

Question 20

Question 21

Question 22

Question 23

A) Yes
B) No

Question 24

Question 25

Twelve dieters lost an average of 5.2 pounds in 6 weeks when given a special diet plus a "fat-blocking" herbal formula. A control group of twelve other dieters were given the
Same diet, but without the herbal formula, and lost an average of 4.5 pounds during the
Same time. The standard deviation of the "fat-blocker" sample was 2.8 and the standard
Deviation of the control group was 2.5. Find the 95% confidence interval for the
Differences of the means.

Question 26

Question 27

Question 28

Question 29

A) -1.753
B) -2.131
C) -1.761
D) -2.145

Question 30

A) -0.31
B) -0.91
C) -7.07
D) -0.11

Question 31

A) No
B) Yes

Question 32

A) -4.46
B) -6.49
C) -2.54
D) -0.92

Question 33

a.State the hypotheses.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.

Question 34

A) Yes
B) No

Question 35

A group of college students believes the average grades in psychology courses are different than the average grades in biology courses. The group found the average
Psychology grades of a sample of 11 students was 82.4 and the average biology grades of
A sample of 11 students was 81.2. What is the null hypothesis for this study?

Question 36

A) 10.791309
B) 11.791309
C) 0.189353
D) -0.917205

Question 37

A) No
B) Yes

Question 38

A) Yes
B) No

Question 39

A) -1.888
B) -4.411
C) -0.555
D) -2.935

Question 40

as

A) Yes
B) No

Question 41

Question 42

A) 0.84
B) 0.13
C) 0.11
D) 0.78

Question 43

A) -1.67
B) -1.43
C) 1.67
D) 6.3

Question 44

Question 45

A) No
B) Yes

Question 46

A) 4.651
B) 1.405
C) 8.547
D) 3.141

Question 47

A) No
B) Yes

Question 48

Question 49

A) No
B) Yes

Question 50

A) -1.943
B) -2.447
C) -2.365
D) -1.895

Question 51

A) 2.666
B) 1.083
C) 2.433
D) 0.313

Question 52

Question 53

A) 22
B) 26.338
C) 23
D) 1.979112

Question 54

A) 1.164
B) 1.063
C) 0.475
D) 3.960

Question 55

A) 0.999575
B) 15.257247
C) 0.000425
D) -4.091887

Question 56

Question 57

Question 58

Question 59

A) 1.31
B) 0.53
C) 1.03
D) 2.53

Question 60

Question 61

A poll found that 39% of male voters and 42% of female voters support a particular candidate. To test whether this candidate has equal levels of support between male and
Female voters, the alternative hypothesis should be

Question 62

A) 17
B) 9
C) 16
D) 8

Question 63

The formula of the test value to be used in a t test for dependent samples is
.

Question 64

When the subjects are paired or matched in some way, samples are considered to
be .

Question 65

Question 66

64% of students at a university live on campus. A random sample found that 28 of 45 male students and 39 of 50 of female students live on campus. At the 0.05 level of
Significance, is there sufficient evidence to support the claim that a difference exists
Between the proportions of male and female students who live on campus?

Question 67

A) There is not enough information to draw a conclusion.
B) No. There is not sufficient evidence to conclude that the proportion of dog owners has changed.
C) Yes. There is sufficient evidence to conclude that the proportion of dog owners has changed.

Question 68

A) There is not enough information to draw a conclusion.
B) Yes. There is enough evidence to support the claim that women are less safety-conscious than men.
C) No. There is not enough evidence to support the claim that women are less safety-conscious than men.

Question 69

A recent survey reported that in a sample of 300 students who attend two-year colleges, 105 work at least 20 hours per week. Additionally, in a sample of 225 students attending
Private four-year universities, only 20 students work at least 20 hours per week. What is
The test value for a test of the difference between these two population proportions?

A) 4.18
B) 2.38
C) 7.61
D) 6.95

Question 70

When subjects are matched according to one variable, the matching process does not
eliminate the influence of other variables.

Question 71

Many elementary school students in a school district currently have ear infections. A random sample of children in two different schools found that 16 of 42 at one school and
17 of 30 at the other have ear infections. At the 0.05 level of significance, is there
Sufficient evidence to support the claim that a difference exists between the proportions
Of students who have ear infections at the two schools?

Question 72

A study of cats and dogs found that 30 of 60 cats and 11 of 40 dogs slept more than 10 hours per day. At the 0.05 level of significance, is there sufficient evidence to conclude
That a difference exists between the proportions of cats and dogs that sleep more than 10
Hours per day?

Question 73

positive or zero.

Question 74

A) 2
B) 6
C) 5
D) 14

Question 75

Question 76

Question 77

A) 0.53
B) 0.89
C) 0.47
D) 0.11

Question 78

Samples are independent when they are not related.

Question 79

Two groups were polled about their attitudes towards capital punishment. In one group 30 out of 100 favored capital punishment, and in the other group 40 out of 80 favored
Capital punishment. Calculate an appropriate test value test the hypothesis that the
Population proportions are the same.

A) -37.40
B) -2.73
C) -0.20
D) -13.68

Question 80

A poll found that 37% of male voters and 45% of female voters support a particular candidate. To test whether this candidate has equal levels of support between male and
Female voters, the null hypothesis should be