Question

X believes that the mean number of hours per day all male students at the University use cell/mobile phones exceeds the mean number of hours per day all female students at the University use cell/mobile phones. To test X’s belief, you analyze data from 29 male students enrolled in XXX 230 this semester and 13 female students enrolled in XXX 230 this semester.

a. Assuming equal population variances, if the level of significance equals 0.05 and the one-tail p-VALUE equals 0.0242, determine the following, in order: the one-tail critical value, the two-tails p-VALUE, and the two-tails critical value (again, order matters)

a) 1.6839, 0.0484, 2.0211

b) 1.6794, 0.0484, 2.0141

c) 1.6839, 0.0121, 2.0211

d) 1.6794, 0.0121, 2.0141

b. Assuming equal population variances and the level of significance equals 0.05, if the calculated value for the associated test statistic equals 1.8333 (where males are group 1), can you conclude the mean number of hours per day all male students at the University use cell/mobile phones exceeds the mean number of hours per day all female students at the University use cell/mobile phones?

a) Yes

b) No Students in BMGT 230/230B use cell/mobile phones

c) No

d) Need More Data

Answer 1

a.) one-tail critical value, the two-tails p-VALUE, and the two-tails critical value for one-tail p-VALUE equals 0.0242 is

a) 1.6839, 0.0484, 2.0211

( Using t table we get above values directly )

b) calculated value for the associated test statistic equals 1.8333 , the mean number of hours per day all male students at the University use cell/mobile phones exceeds the mean number of hours per day all female students at the University use cell/mobile phones is

d) need more data

( Because degrees of freedom are important to calculate p value or critical value ) PL??