Question

(A) The weight of cans of vegetables is normally distributed with a mean of 1380 grams and a standard deviation of 80 grams. What is the probability that the sample mean of weight for 15 randomly selected cans is more than 1410

Answer 1

7.35%

Explanation:

μ = 1380

σ = 80

n = 15

P(x>1410)

= (1410-1380)/((80)/(sqrt(15)))

= 1.4524

P(z>1.4524) = 0.4265 (from the graph)

P(z>1.4524) = 0.5 - 0.4265 = 0.0735