A sample of 30 NBA players are randomly collected. Their average height is 73.7 inches with a standard deviation of 2.2917. Their average age is 28.498 years old with a standard deviation of 3.8617. Their average weight is 204.13lbs with a standard deviation of 21.0954. I need help with a) and d)! a) verify that your samples satisfies the Central Limit Theorem for height, weight, and age.

b) Construct a 90% confidence interval specified by hand for each

height: 73 inches to 74.4 margin of error: .685

age: 27.3 to 29.7 margin of error: 1.16

weight: 198 to 210 margin of error: 6.34

c) Construct a 99% confidence interval by hand for each

weight: 194 to 214 margin of error: 9.92

height: 72.6 to 74.8 inches margin of error: 1.08

age: 26.7 to 30.3 margin of error: 1.82

d) Give a brief explanation about the difference between the level of confidence and how it affects your interval.