Question: 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

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

★★★★★

3.45 Rating (174 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

Let X 1 X 24 be the volumes of the 24 bottles Let S X 1 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Statistics Engineers Scientists Questions!

A quality-control engineer wants to find out whether or not a new machine that fills bottles with liquid has less variability than the machine currently in use. The engineer calibrates each machine...

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. Following are the amounts measured in a sample of 14 cans. Can you conclude that the median amount differs...

A machine that fills beverage cans is supposed to put 12 ounces of beverage in each can. The variance of the amount in each can is 0.01. The machine is moved to a new location. To determine whether...

Q5) 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...

A beverage company uses a machine to fill half-gallon bottles with fruit juice (see figure). The company wants to estimate the mean volume of water the machine is putting in the bottles within 0.25...

1) The makers of Mini-Oats cereal have an automated packaging machine that is set to fill boxes with 24 ounces of cereal.At various times in the packaging process, we select a random sample of 100...

CHAPTER 9 Hypothesis Tests CONTENTS 9.4 POPULATION MEAN: UNKNOWN One-Tailed Test Two-Tailed Test Summary and Practical Advice 9.5 POPULATION PROPORTION Summary 9.6 HYPOTHESIS TESTING AND DECISION...

Exam 2 Statistical Analysis Part 1 of 1 - Question 1 of 20 5.0/ 100.0 Points 0.0/ 5.0 Points The stacked bar chart below shows the percentages of death due to cancer in four geographic regions of the...

Need help with Accounting Discussion. The questions are attached along with the 10K Report to look for the answer in *Use the Coca Cola 10K Report to answer your questions along with any other...

National Tennis Racquet Co. produces and sells three models: Required (Round all percentages to 2 decimal places and monetary calculations to the nearest dollar.) a. What is the weighted average...

An open economy is described by the following equations: a. Write the equation for the aggregate demand curve. (Find the equations describing goods market equilibrium and asset market equilibrium....

3. Which of the following is recorded on an individual earnings record? a. Gross earnings each pay period b. Federal income tax withheld each pay period c. Social security tax withheld each pay...

Because the plan of nursing care is based on the client, the subject is the client.

In a sample of 100 steel wires the average breaking strength is 50 kN, with a standard deviation of 2 kN. a. Find a 95% confidence interval for the mean breaking strength of this type of wire. b....

The capacities (in ampere-hours) were measured for a sample of 120 batteries. The average was 178 and the standard deviation was 14. a. Find a 95% confidence interval for the mean capacity of...

In a sample of 80 ten-penny nails, the average weight was 1.56 g and the standard deviation was 0.1 g. a. Find a 95% confidence interval for the mean weight of this type of nail. b. Find a 98%...

Balance sheet effects of leasing Two textile companies, McDaniel-Edwards Manufacturing and Jordan-Hocking Mills, began operations with identical balance sheets. A year later both required additional...

PLEASE ANSWER BOTH USING A BA II FINANCE CALCULATOR AND SHOW KEY STROKES. Will rate all answers, thanks!! "ROOM FOR INTERPRETATION RELATIVE TO THIS INSTRUCTION, AND NO APPEALS WILL BE CONSIDERED. 1....

Assume that Valley Forge Hospital has only the following three payer groups: The hospital s fixed costs are $ 3 8 million.