Please see question below, thank you.

Researchers investigated the effects of being distracted by a game on how much people eat. The 22 patients in the treatment group who ate their lunch while playing solitaire were asked to do a serial-order recall of the food lunch items they ate. The average number of items recalled by the patients in this group was 4. 9, with a standard deviation of 1.8. The average number of items recalled by the patients in the control group (no distraction) was 6.1, with a standard deviation of 1.6. Do these data provide strong evidence that the average number of food items recalled by the patients in the treatment and control groups are different? Please show your work: a) Conditions met? b) Hypotheses used c) test statistics calculated, including any formulas used d) p-value calculated and final conclusion