1. A particular fruit s weights are normally distributed, with a mean of 416 grams

1. A particular fruit's weights are normally distributed, with a mean of 416 grams and a standard deviation of 6 grams.
If you pick 8 fruits at random, then 2% of the time, their mean weight will be greater than how many grams? Give your answer to the nearest gram.

2. Slices of pizza for a certain brand of pizza have a mass that is approximately normally distributed with a mean of 67.8 grams and a standard deviation of 1.89 grams. ___

a) For samples of size 16 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 67.4 grams? ___

c) What is the probability of finding a 16 random slices of pizza with a mean mass of less than 67.4 grams? ___

d) What sample mean (for a sample of size 16) would represent the bottom 15% (the 15th percentile)? ___ grams