Question

1.

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 2.29 grams.

a) For samples of size 14 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 67.1 grams?

c) What is the probability of choosing a random sample of 14 slices of pizza having a mean mass of less than 67.1 grams?

d) What sample mean (for a sample of size 14) would represent the bottom 15% (the 15th percentile)?  grams

2. The average ticket price for a Spring Training baseball game is $33.11, with a standard deviation of $8.13. In a random sample of 40 Spring Training tickets, find the probability that the mean ticket price exceeds $36. (Round your answer to three decimal places)

Answer 1