Question

You just measured the amount of yogurt in 36 6 ounce cups (which we assume is μ). Given that σ=.42 ounces, what is the probability that the sample average of the 36 cups measured was less than 5.8 ounces?

Answer 1

Solution :

Given that ,

mean = = 6

standard deviation = = 0.42

n = 36

= 6

= / n = 0.42 / 36 = 0.07

P( < 5.8) = P(( - ) / < (5.8 - 6) / 0.07)

= P(z < -2.86)

= 0.0021