1. You are a registered nurse working in an outpatient Diabetes Education Center (DEC) in Sudbury, Ontario. You are tracking the weight of adults in the clinic that have type II diabetes mellitus. The table below provides the weight (kg) of a random sample of 25 adult patients in the DEC that you are planning to enroll in your upcoming nutrition and exercise counselling program. You know from prior studies on this population that weight is approximately normally distributed. Use the data you collected to answer the questions below the table.

Patient	Weight (kg)		Patient	Weight (kg)
1	72.5		14	71.4
2	71.7		15	73.1
3	60.8		16	77.9
4	63.2		17	75.7
5	67.4		18	72.0
6	63.0		19	64.6
7	62.9		20	69.0
8	68.3		21	72.4
9	71.0		22	70.7
10	65.5		23	62.2
11	60.8		24	74.0
12	71.3		25	66.6
13	64.8

a. Is there sufficient evidence to allow you to conclude that the mean weight in the population of adults with diabetes is greater than 65 kg? Let =0.05. Show you calculations.

b. Calculate the 95% and 99% confidence interval for the population mean weight. Show your calculations.

c. Does the 95% confidence interval you calculated in question b support the conclusion you reached in question a? Explain