Question

You wonder if people will be more willing to agree with a new company policy if the president holds a meeting to explain the logic behind the decision. You select 20 people and randomly divide them into two groups. One group listens to a speech by the president detailing the reasons for a recent company decision and the other group listens to a speech by the president detailing the company’s most recent financial statement. You ask each participant on a scale of 1-100 how much they support the new company policy. The data are below. What would you conclude?

	Given Reasons	Financial Statement	D	D2
	70	63	7	49
	86	69	17	289
	71	71	0	0
	81	71	10	100
	68	60	8	64
	80	77	3	9
	88	78	10	100
	68	55	13	169
	65	53	12	144
	67	54	13	169
Sum	744	651	93	1093
SS	650.4	794.9	228.1	68492.18

Answer 1

H0: Null Hypothesis: ( People will not be more willing to agree with a new company policy if the president holds a meeting to explain the logic behind the decision. )

HA: Alternative Hypothesis: ( People will be more willing to agree with a new company policy if the president holds a meeting to explain the logic behind the decision. ) (Claim)

From the given data, the following statistics are calculated:

n1 = 10

1 = 744/10 = 74.4

n2 = 10

2 = 651/10 = 65.1

Pooled Standard Deviation is given by:

Test Statistic is given by:

Take

= 0.05

df = 10 + 10 - 2

From Table, critical value of t = 1.731

Since calculated value of t = 2.321 is greater than critical value of t = 1.731, the difference is significant. Reject null hypothesis.

Conclusion:
The data support the claim that people will be more willing to agree with a new company policy if the president holds a meeting to explain the logic behind the decision.