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