Question

Consider Dataset C for answering the questions that follows below.

1. Teams A, B and C have been used to serve as respondents in a recently concluded webinar in Cybercrime to evaluate the delivery of the webinar. Is there any reason to believe that the mean responses of the three teams are different from one another? Test this using a level of significance of 0.05.

2. All the teams are being categorized as either Male or Female. In this scenario, can we say that the mean male responses is different from the mean female responses? Test this claim at 0.01 level of significance.

A	Male	4.80
5	A	Male	4.24
3	A	Male	3.45
4	A	Male	1.78
2	A	Male	1.06
9	B	Male	4.12
6	B	Male	3.91
7	B	Male	3.42
10	B	Male	2.92
8	B	Male	1.25
15	C	Female	4.84
11	C	Female	4.45
13	C	Female	4.13
12	C	Female	1.84
14	C	Female	1.64

Answer 1

ANOVA

A	B	C
4.8	4.12	4.84
4.24	3.91	4.45
3.45	3.42	4.13
1.78	2.92	1.84
1.06	1.25	1.64

Using Excel, go to Data, select Data Analysis, choose Anova: Single Factor. Group by columns at alpha 0.05.

H0: µ1 = µ2 = µ3, Mean responses of the three teams are same

H1: Mean responses of the three teams are different

ANOVA
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	0.279	2	0.140	0.068	0.935	3.885
Within Groups	24.699	12	2.058
Total	24.979	14

p-value = 0.935

Since p-value is more than 0.05, we do not reject the null hypothesis and conclude that µ1 = µ2 = µ3.

So, mean responses of the three teams are same.

t-test

Using Excel, go to Data, select Data Analysis, choose t-Test: Two-Sample Assuming Unequal Variances at alpha 0.01.

t-Test: Two-Sample Assuming Unequal Variances
	Male	Female
Mean	3.095	3.380
Variance	1.719	2.310
Observations	10	5
Hypothesized Mean Difference	0
df	7
t Stat	-0.358
P(T<=t) one-tail	0.365
t Critical one-tail	2.998
P(T<=t) two-tail	0.731
t Critical two-tail	3.499

H0: µ1 = µ2, Mean male responses is same as the mean female responses

H1: µ1 ≠ µ2, Mean male responses is different from the mean female responses

p-value = 0.731

Since p-value is more than 0.01, we do not reject the null hypothesis and conclude that µ1 = µ2.

So, mean male responses is same as the mean female responses.