A Canadian study measuring depression level in teens (as reported in the Journal of Adolescence, vol. 25, 2002) randomly sampled 112 male teens and 101 female teens, and scored them on a common...

The first two questions refer to the following information: A Canadian study measuring depression level in teens (as reported in the Journal of Adolescence, vol. 25, 2002) randomly sampled 112 male teens and 101 female teens, and scored them on a common depression scale (higher score representing more depression). The researchers suspected that the mean depression score for male teens is higher than for female teens, and wanted to check whether data would support this hypothesis. Question 1 Select one answer. 10 points If µ and µ represent the mean depression score for male teens and female teens respectively, 1 2 which of the following is the appropriate pair of hypotheses in this case? 1. (a) 2. (b) 3. (c) 4. (d) 5. (e) Both (c) and (d) are correct. Question 2 Select one answer. 10 points The following is the (edited) output for the test:From the output we learn that: 1. (a) the data provide sufficient evidence to reject H and to conclude that the mean 0 depression score for male teens is larger than that of female teens. 2. (b) the data provide sufficient evidence to conclude that male and female teens do not differ in mean depression score. 3. (c) the data do not provide sufficient evidence to conclude that the mean depression score of male teens is larger than that of female teens. 4. (d) the data do not provide sufficient evidence to reject H , so we accept it, and 0 conclude that male and female teens do not differ in mean depression score. Grain is fortified with vitamins at the factory when processed. But, before the product reaches the consumer, some of the vitamins may degrade due to time, heat during storage, etc. Suppose the vitamin contents (in milligrams per pound) of five bags of grain are measured at the factory before shipping, and then again at the retail store after shipping. The results are as shown: We wish to test whether there is a statistically significant decrease in vitamin...