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Now, Now

9. 2 – Using the information below, conduct a hypothesis test using the 4-step approach:
H0:
 
9.1-Using the information below, conduct a hypothesis test using the four-step approach
H0: μ1 – μ2 = 0 Ha: μ1 – μ2 < 0 α = .01

Sample 1
Sample 2

n1 = 8
n2 = 11

 
 

x1 = 24.56

x2 = 26.42

s21 = 12.4

s22 = 15.8

 
Step 1 – State the hypothesis (already done for you…see above). Will this be a one-tailed or a two-tailed test?
This Test will be one tailed
 
Step 2 – Set the criteria for a decision. What is your df?
 
df =(n1-1) +(n2-1)
= (8-1) +(11-1)
= (7) +(10)
=17

If t is less than -1.05, or greater than 1.05, reject the null hypothesis
Step 3 – Compute the test statistic.

 
Step 4 – Make a decision.

We reject H0
 
9.2 – Using the information below, conduct a hypothesis test using the 4-step approach:
H0: D=0 Ha<0 α=0.01
 
 
 

Employee
Pre-test
Post test

1
38
22

2
27
28

3
30
21

4
41
38

5
36
38

6
38
26

7
33
19

8
35
31

9
44
35

 
d = -7.11 Sd=6.45
 
 
sd = 6.45
 
 
 
 
 
 
 
 
Step 1 – State the hypothesis (already done for you…see above). Will this be a one-tailed or a two-tailed test?
This test will be one tailed.
Step 2 – Set the criteria for a decision. What is your df?
df = (n-1)
= 9-1
= 8

If t is less than -3.31, or greater than 3.31, reject the null hypothesis
Step 3 – Compute the test statistic.
 

 
 
 
Step 4 – Make a decision.

 
We reject H0
 
9.3 – Using the information below, conduct a hypothesis test using the 4-step approach
H0: μ1 – μ2 = 0 Ha: μ1 – μ2 ≠ 0 α = .10

Sample A
Sample B

n1 = 21
n2 = 21

 
x1 = 118 s21 = 23.9

x2 = 113 s22 = 21.6

 
Step 1 – State the hypothesis (already done for you…see above). Will this be a one-tailed or a two-tailed test?
 
This is a two-tailored test.
 
Step 2 – Set the criteria for a decision. What is your df?
Df=(n1-1) +(n2-1)
= (8-1) +(11-1)
=7+10
=17
 
 

 
If t is less than -3.397, or greater than 3.397, reject the null hypothesis
 
Step 3 – Compute the test statistic.

 
 
 
Step 4 – Make a decision.

We fail to reject H0
9.4- Using the information below, conduct a hypothesis using the 4-step approach
D = 0 Ha: D ≠ 0 α = .05
 

Customer
Before
After

1
107
102

2
99
98

3
110
100

4
113
108

5
96
89

6
98
101

7
100
99

8
102
102

9
107
105

10
109
110

11
104
102

12
99
96

13
101
100

 
 
 
D=-2.54
Sd=3.48
 
 
 
 
 
 
 
 
 
 
 
Step 1 – State the hypothesis (already done for you…see above). Will this be a one-tailed or a two-tailed test?
This test will two tailed
Step 2 – Set the criteria for a decision. What is your df?
d f= (n-1)
= (13-1)
=12

If t is less than -2.62, reject H0
 
Step 3 – Compute the test statistic.
 

Step 4 – Make a decision.
 We fail to reject H0
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