Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact...

Question

Question

Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is normally distributed

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

Solutim! Given thut M: 2.0 σ= 0.2 cli P (X<12). -0.8 0) 欣- o 0 28 2-ㄑㄧ-01-35 = 0.3632 prDbability-:-0-36 32

Add a comment

Answer 2

Similar Homework Help Questions

Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact...

Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact the fill volume is random with mean 12.01 oz and standard deviation 0.30 oz. What is the probability that the mean volume of a random sample of 144 bottles is less than 12 oz? If the population mean fill volume is increased to 12.03 oz, what is the probability that the mean volume of a sample of size 144 will be less than 12...
A brewery's filling machine is adjusted to fill bottles with a mean of 30.9 oz. of...

A brewery's filling machine is adjusted to fill bottles with a mean of 30.9 oz. of ale and a variance of 0.003. Periodically, a bottle is checked and the amount of ale noted. (a) Assuming the amount of fill is normally distributed, what is the probability that the next randomly checked bottle contains more than 30.94 oz? (Give your answer correct to four decimal places.) (b) Let's say you buy 92 bottles of this ale for a party. How many...
A soft drink company produces bottles of cola that are supposed to contain 10 ounces. When...

A soft drink company produces bottles of cola that are supposed to contain 10 ounces. When the bottling machine is working correctly, the number of fluid ounces per bottle is in fact normally distributed with mean 10 ounces and standard deviation 0.42 ounces. A customer buys nine bottles of this type of cola. What is the probability that the average volume of cola in the nine bottles is more than 9.7 ounces but less than 10.2 ounces? (A) 0.9074 (B)...

A bottling company uses a filling machine to fill plastic bottles with a popular cola. The...

A bottling company uses a filling machine to fill plastic bottles with a popular cola. The bottles are supposed to contain 300 milliliters (ml). In fact, the contents vary according to a normal distribution with mean µ=303 ml and standard deviation σ= 5 ml What is the probability that an individual bottle contains greater than 305 ml? What is the probability that the sample mean of 100 bottles is less than 302 ml?
#8. Bottles of a certain lubricant are designed to contain 6.0 oz. The amount in the container is...

#8. Bottles of a certain lubricant are designed to contain 6.0 oz. The amount in the container is actually a normal random variable with mean 6.1 oz and s.d. .08 oz. To check whether the machine doing the filling is actually meeting specs fill volumes of a sample of 4 bottles are measured. Call these Xi, X2, X3, X4; assume that they are independen. The true mean fill volume μ, is estim ated by tak ng (a) Is Y an...
Beer bottles are filled so that they contain an average of 440 ml of beer in...

Beer bottles are filled so that they contain an average of 440 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 8 ml. [You may find it useful to reference the z table. a. What is the probability that a randomly selected bottle will have less than 437 ml of beer? (Round intermediate calculations to at least 4 decimal places, "" value to 2 decimal places,...

Beer bottles are filled so that they contain an average of 475 ml of beer in...

Beer bottles are filled so that they contain an average of 475 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 8 ml. [You may find it useful to reference the z table.] a. What is the probability that a randomly selected bottle will have less than 470 ml of beer? (Round intermediate calculations to at least 4 decimal places, “z” value to 2 decimal places,...
The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz

The volumes of soda in quart soda bottles are normally distributed with a mean of 32.3 oz and a standard deviation of 1.2 oz. What percentage of bottles contain less than 32 oz of soda?
The contents of soft drink bottles are normally distributed with a mean of twelve ounces and a standard deviation of two ounce.

The contents of soft drink bottles are normally distributed with a mean of twelve ounces and a standard deviation of two ounce. a. What is the probability that a randomly selected bottle will contain more than ten ounces of soft drink? b. What is the probability that a randomly selected bottle will contain between 9.5 and 11 ounces? c. What percentage of the bottles will contain less than 10.5 ounces of soft drink?

3. Suppose that the amount of liquid in a bottle is normally distributed with a mean...

3. Suppose that the amount of liquid in a bottle is normally distributed with a mean of 16 oz and a standard deviation of 0.2 oz. If we take a random sample of 10 bottles from a production run, what is the probability that the sample mean is between 15.99 and 16.01?

Bottles filled by a certain machine are supposed to contain 12 oz of liquid. In fact...

Homework Answers