Solution Found!
A machine that fills bottles with a beverage has a fill volume whose mean is 20.01
Chapter 2, Problem 8(choose chapter or problem)
A machine that fills bottles with a beverage has a fill volume whose mean is
\(20.01 \text { ounces }\), with a standard deviation of \(0.02 \text { ounces }\). A case consists of 24 bottles randomly sampled from the output of the machine.
a. Find the mean of the total volume of the beverage in the case.
b. Find the standard deviation of the total volume of the beverage in the case.
c. Find the mean of the average volume per bottle of the beverage in the case.
d. Find the standard deviation of the volume per bottle of the beverage in the case.
e. How many bottles must be included in a case for the standard deviation of the average volume per bottle to be \(0.0025 \text { ounces }\) ounces?
Equation Transcription:
Text Transcription:
20.01 ounces
0.02 ounces
0.0025 ounces
Questions & Answers
QUESTION:
A machine that fills bottles with a beverage has a fill volume whose mean is
\(20.01 \text { ounces }\), with a standard deviation of \(0.02 \text { ounces }\). A case consists of 24 bottles randomly sampled from the output of the machine.
a. Find the mean of the total volume of the beverage in the case.
b. Find the standard deviation of the total volume of the beverage in the case.
c. Find the mean of the average volume per bottle of the beverage in the case.
d. Find the standard deviation of the volume per bottle of the beverage in the case.
e. How many bottles must be included in a case for the standard deviation of the average volume per bottle to be \(0.0025 \text { ounces }\) ounces?
Equation Transcription:
Text Transcription:
20.01 ounces
0.02 ounces
0.0025 ounces
ANSWER:
Problem 8
A machine that fills bottles with a beverage has a fill volume whose mean is 20.01 ounces, with a standard deviation of 0.02 ounces. A case consists of 24 bottles randomly sampled from the output of the machine. a. Find the mean of the total volume of the beverage in the case. b. Find the standard deviation of the total volume of the beverage in the case. c. Find the mean of the average volume per bottle of the beverage in the case. d. Find the standard deviation of the volume per bottle of the beverage in the case. e. How many bottles must be included in a case for the standard deviation of the average volume per bottle to be 0.0025 ounces?
Step by step solution
Step 1 of 6
Given Information:
* Mean volume filled of beverage in one bottle
* Standard deviation of the volume filled
* Total number of bottles (n) = 24.
Let X denote the filled volume of beverage.