Question

For each of the following two-samples t-tests (problems 1-6): (a) Determine if a F test for the ratio of two variances is appropriate to calculate for the context. If it is appropriate, conduct the analysis and report the result. Include what statistical conclusion you should draw from the analysis (i.e., whether you should conduct a pooled-variance t-test or an unequal-variances t-test). (b) Identify the most appropriate t-test to conduct for the situation/data given. Don’t forget to consider if the context requires one/two-tail tests. (c) Provide a statistical and practical interpretation of your findings.

2. An article appearing in The Exponent, an independent college newspaper published by the Exavier Student Publishing Foundation, reported that the average American college student spends one hour (60 minutes) on Facebook daily. But you wonder if there is a difference between males and females. You select a sample of 60 Facebook users (30 males, 30 females) at Baker University. The time spent on Facebook per day (in minutes) for these 60 users is stored in FacebookTime. Is there evidence of a difference in mean time spent on Facebook per day between males and females? (Use a 0.05 level of significance)

Gender	Minutes
F	10
F	90
F	80
F	30
F	130
F	110
F	40
F	170
F	160
F	30
F	140
F	130
F	40
F	160
F	70
F	150
F	90
F	160
F	50
F	30
F	50
F	70
F	10
F	140
F	110
F	120
F	50
F	100
F	140
F	130
M	230
M	20
M	10
M	60
M	20
M	210
M	120
M	80
M	10
M	110
M	150
M	200
M	70
M	80
M	50
M	100
M	250
M	30
M	250
M	290
M	30
M	180
M	220
M	50
M	100
M	30
M	240
M	160
M	500
M	110

Answer 1

Solution:

Step1: Check the normality of data

Given below results of Kolmogorov Smirnov test for normality by using SPSS software:

Gender 1= Female and Gender 2= Male

Conclusion: As p-value comes out to be non-significant we can not reject null hypothesis i.e data is Normal

Thus, data follows normality we will perform parametric Two sample t-test by using SPSS software because we have two compare two groups which is Male and Female.

Step:2 Perform Two-Sample t-test

Conclusion:

Null hypothesis of Levene's test i.e variances of two groups is equal is rejected as p-value comes out to be significant. Therefore, we will consider results of Equal variances not assumed.

p-value is 0.084 which is greater than level of significance i.e 0.05, therefore we cannot reject null hypothesis therefore we conclude that there is no difference in mean time spent on Facebook per day between males and females.