sampling distributions

Question

A particular fruit's weights are normally distributed, with a mean of 547 grams and a standard deviation of 34 grams.

If you pick 33 fruits at random, then 8% of the time, their mean weight will be greater than how many grams?

Give your answer to the nearest gram

Answer 1

The mean weight will be distributed normally

with mean = 547, and standard deviation of 34 / sqrt (33)

So we need to find X, when p (mean < X) = 0.92

ti-84

2nd vars

inv norm

area = 0.92

mean = 547

standard deviation = 34 / sqrt (33)