Question

A particular fruit's weights are normally distributed, with a mean of 276 grams and a standard deviation of 23 grams. If you pick 27 fruits at random, then 14% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram. & Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 66.1 grams and a standard deviation of 2.33 grams. a) For samples of size 24 pizza slices, what is the standard deviation for the sampling distribution of the sample mean? b) What is the probability of finding a random slice of pizza with a mass of less than 65.7 grams? c) What is the probability of finding a 24 random slices of pizza with a mean mass of less than 65.7 grams? d) What sample mean (for a sample of size 24) would represent the bottom 15% (the 15th percentile) grams?

Answer 1