The following SPSS output is generated to test whether the mean email hours per
ID: 3252973 • Letter: T
Question
The following SPSS output is generated to test whether the mean email hours per week are the same for both men and women. Use the output to answer the following questions. Assume mu_1 is the mean email hours for men and mu_2 is the mean email hours for women. a) What are the sample mean email hours for men? _______, women?___ What are the sample standard deviation of email hours for men? ______, women?_____ b) State the null and alternative hypotheses to test whether men and women have same mean email hours: H_0: _____ H_1: _____ c) What is your conclusion about the equal variance test (Lavene's test) at 0.05 significance level? Do both groups have same variance or not?____ Based on the answer to the above part, select correct t-test to answer the following questions: d) Value of test statistic: ______, value:______, Std. error of the mean difference:______ e) Do both groups have same mean email ours? Use 0.05 significance level. SPSS OUTPUTExplanation / Answer
(8)
(a) Sample mean email hours for men 4.1462, women 4.8626
Sample standard deviation of email hours for men 6.32795, women 8.06060
(b) Below are the null and alternate hypothesis
H0: mu1 = mu2
H1: mu1 not equals to mu2
(c)
Both groups do not have same variance. Hence we use the t-test with unequal variances.
(d) value of test statistics: -1.344
p-value = 0.179
std. error of the mean difference: 0.5328
(e)
As p-value is greater than significance level of 0.05, we fail to reject the null hypothesis. This means there are not sufficienct evidence to conclude that two means are different.