Question

1) Previous studies have reported 75% of all students living in the dormitories own a computer. The Information Technology Department at a large university would like to estimate the3 proportion of their students living in the dorms, p, who own a computer.
Using a 95% confidence interval, what is the minimum required sample size the IT department should use if they want a margin of error no larger than 0.03? Show all work.

2) Assuming a normal distribution, the apples' weights from Fruit Farm 1 can be described in grams as N(250,35) while the weight from Fruit Farm 2 can be described as N(200,25). From a random sample, an inspector finds an apple from Fruit Farm 1 weighs 261 grams and an apple from Fruit Farm 2 weighs 210 grams.
Which farm produces larger apples? Show all work.

Answer 1

1)

2)

The difference is positive that means that apples from Fruit Farm 1 are bigger.