At the Barilla plant in Ames, IA, a machine fills jars of marinara sauce with a population mean of 26.2 ounces of sauce and a population standard deviation of 0.04 ounces. To ensure the machine is operating properly, a quality assurance engineer randomly samples 34 jars out of all jars produced at the plant in the last week and finds the mean amount of sauce per jar is 26.197 ounces. 1. Match the description below with the correct distribution on the right.
-Sampling distribution model, population distribution model, sample distribution
A) histogram of the specific 34 weights of sauce recorded from the sample.
B) A histogram of the weight of all of the sauce put into jars by this machine.
C) A histogram of mean weights of all possible random samples of 34 jars taken from this population.
2. What is the numerical value of the standard deviation of the sampling distribution of the sample mean?
A) 0.001
B) 0.04
C) 0.007
D) 26.2