Question

, 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 President Loh’s belief, you analyze data from 29 male students enrolled in BMGT 230/230B this semester and 13 female students enrolled in BMGT 230/230B 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)

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?

Answer 1

Solution

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

Ans :

T-Value (one-tailed): 1.683851

the two-tails p-VALUE = 0.0484

T-Value (two-tailed): +/- 2.021075

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?

test statistic equals 1.8333

one-tail p-VALUE equals 0.0242

since p-value is <0.05 so we reject the null hypothesis and conclude 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, at 0.05 level of significance