To avoid difficulties with the Federal Trade Commission or state and local consumerprotection agencies, a beverage bottler must make reasonably certain that 12-ouncebottles actually contain 12 ounces of beverage. To determine whether a bottlingmachine is working satisfactorily, one bottler randomly samples 10 bottles per hourand measures the amount of beverage in each bottle. The mean of the 10 fillmeasurements is used to decide whether to readjust the amount of beveragedelivered per bottle by the filling machine.If records show that the amount of fill per bottle is normally distributed, with astandard deviation of .2 ounce, and if the bottling machine is set to produce a mean fillper bottle of 12.1 ounces, what is the approximate probability that the sample meanof the 10 test bottles is less than 12.2 ounces?

Given Mean=12.1, standard deviations=0.2, n=10

Answered: If records show that the amount of fill…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

A normal distribution has a mean of 54, and a sttandard deviation of 6. What is the probability of randomly selecting a score less than X = 51?
You are interested in how uniform the lengths of socks are that are produced at a factory. You measure the distribution and see that there is a normal distribution for the length of the socks. Given the mean = 20; standard deviation = 10.5, how likely is it that a sock is above 25 cm.
Suppose a sample of O-rings was obtained and the wall thickness (in inches) of each was recorded. Use a normal probability plot to assess whether the sample data could have come from a population that is normally distributed. Click here to view the table of critical values for normal probability plots. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Using the correlation coefficient of the normal probability plot, is it reasonable to conclude that the population is normally distributed? Select the correct choice below and fill in the answer boxes within your choice. (Round to three decimal places as needed.) O A. Yes. The correlation between the expected z-scores and the observed data, OB. No. The correlation between the expected z-scores and the observed data, O C. No. The correlation between the expected z-scores and the observed data, O D. Yes. The correlation between the expected z-scores and…
If a normal population has a mean of 20 and a standard deviation of 4, what is the z-value associated with 25
The quantitative data set under consideration has roughly a bell-shaped distribution. Apply the empirical rule to solve. The data set has size 80. Approximately how many observations lie within two standard deviations to either side of the mean?
A normal distribution has a mean of 3.7 and a standard deviation of 2.3. What is the median?
A professor at a university gives her large class an examination and finds that the scores follow very closely to a normal curve with a mean of 73 and a standard deviation of 8 a.....What is the probability that random student scores better than 85? b....What percent of students scored between 70 and 80? c...If taking random sample of 30 students, what is the probability that its mean grade is below 75?
For a normally distributed random variable, the stnadard deviation is 3.7. What us the mean if 10% of the distribution is less than 31?
The customer demand of a product follows a Normal distribution. Given the standard deviation of demand is 30, and the probability that the demand exceeds 100 units is 0.2, what is the mean customer demand?
At a large manufacturing company the mean age of workers is 38 years, and the standard deviation is 6.2. Assuming the variable is normally distributed. If a random of 44 workers is selected, find the probability that the mean age of the workers in the sample is between 36 and 40 years.
A grocer finds that the cantaloupes in his store have weights with mean 0.7 kg and standard deviation 53 grams. If this is true, then 99.7% of cantaloupes will have weights between how many grams?
A quantitative data set has size 50. At least how many observations lie within three standard deviations to either side of the mean?

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS