1.The day after surgery, 5 subjects get physical therapy 3 times a day for a week. Another 5 subjects do not get physical therapy. The data are the number of days between the day of the surgery and the day on which the subject returns to work. Treatment group: 12, 11, 14, 12, 12 Nontreatment Group: 15, 14, 17, 18, 17 (a)What is the mean for each group? What is the difference in the means? (b)Randomly pick any 5 values from a mixture of both groups. Find the mean of each group and the difference. Repeat this process 4 times. (c)Based on your differences of the means from being randomly picked, is the difference in means of the treatment group and nontreatment group significant? What does it mean? Answer: 2.Are all real numbers and imaginary numbers also complex numbers? Explain, using the parts of a complex number. Answer: 3.Trevor is swimming laps to raise money for the local food bank. He earns $1.85 per lap and has already swum 23 laps. (a)Write an inequality to show how many more laps Trevor needs to swim in order to raise more than $100. (b)Graph the solution of your inequality. Show all your work. Answer: