Question

In: Statistics and Probability

Cans of regular Coke are labeled as containing 12 oz. Statistics students weighted the content of...

Cans of regular Coke are labeled as containing 12 oz. Statistics students weighted the content of 8 randomly chosen cans, and found the mean weight to be 12.14. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.09 oz. Find the probability that a sample of 8 cans will have a mean amount of at least 12.14 oz.

Solutions

Expert Solution

Solution :

Given that ,

mean = = 12

standard deviation = = 0.09

n = 8

= / n = 0.09 / 8  

P( 12.14) = 1 - P( 12.14)

= 1 - P[( - ) / < (12.14 - 12) / 0.09 / 8  ]

= 1 - P(z < 4.40)

= 1 - 1

0

Probability = 0

orchestra answered 2 years ago
Next > < Previous

Related Solutions

Cans of regular Coke are labeled as containing 12 oz. Statistics students weighed the contents of...
Cans of regular Coke are labeled as containing 12 oz. Statistics students weighed the contents of 7 randomly chosen cans, and found the mean weight to be 12.12 ounces. Assume that cans of Coke are filled so that the actual amounts are normally distributed with a mean of 12.00 oz and a standard deviation of 0.09 oz. Find the probability that a sample of 7 cans will have a mean amount of at least 12.12 oz.
Cans of regular coke are labled to indicate they contain 12 oz. Lets say we have...
Cans of regular coke are labled to indicate they contain 12 oz. Lets say we have a sample n=36 with mean 12.19 oz. Assuming u=12oz and zigma=0.11oz, find the probablity that a sample of 36 cans will have a mean of 12.19 oz or greater. Do the results indicate an unusual event?
A random sample of 36 cans of regular Coke had a sample mean of 12.19 oz...
A random sample of 36 cans of regular Coke had a sample mean of 12.19 oz with a standard deviation of 0.11 oz. A sample of 36 cans of regular Pepsi had a sample mean of 12.29 oz with a standard deviation of 0.09 oz. Find a 90% confidence interval for the difference in volume between cans of regular Coke and cans of regular Pepsi.
I compared Coke and Pepsi cans.   For Coke I have n= 36 sample mean = 12.19 oz....
I compared Coke and Pepsi cans.   For Coke I have n= 36 sample mean = 12.19 oz. and s = .11.  For the Pepsi cans I have n=36 sample mean = 12.29 oz. and s =.09.  I wish to determine if the two brands provide the same volume per can. Is it reasonable to pool the sample variances?  Why or why not? How many degrees of freedom for this problem Compute spool Compute the margin of error for the confidence interval Test the claim...
A Coca-Cola bottling plant's product line includes 12-ounce cans of Coke products. The cans are filled...
A Coca-Cola bottling plant's product line includes 12-ounce cans of Coke products. The cans are filled by an automated filling process that can be adjusted to any mean filll volume and that will ll cans according to a normal distribution. However, not all cans will contain the same volume due to variation in the filling process. Historical records show that regardless of what the mean is set at, the standard deviation in ll will be 0.035 ounce. Operations managers at...
A twelve pack of your favorite beverage (12 fl. oz. cans) is placed in a cooler...
A twelve pack of your favorite beverage (12 fl. oz. cans) is placed in a cooler at 70o F. How much heat must be removed (kJ) to cool the beverages to 37o F?
A soda bottling plant fills cans labeled to contain 12 ounces of soda. The filling machine...
A soda bottling plant fills cans labeled to contain 12 ounces of soda. The filling machine varies and does not fill each can with exactly 12 ounces. To determine if the filling machine needs adjustment, each day the quality control manager measures the amount of soda per can for a random sample of 50 cans. Experience shows that its filling machines have a known population standard deviation of 0.35 ounces. In today's sample of 50 cans of soda, the sample...
The old machine filled 12 soda cans with an average of 11.9 oz of soda with a standard deviation of 0.3 ounces.
The old machine filled 12 soda cans with an average of 11.9 oz of soda with a standard deviation of 0.3 ounces. The new machine still fills them (11 cans) with an average of 12.1 ounces, with a standard deviation of 0.3 oz. Is the new machine filling with significantly more than the old machine? (α=.05)
A random sample of 12 second-year university students enrolled in a business statistics course was drawn....
A random sample of 12 second-year university students enrolled in a business statistics course was drawn. At the course's completion, each student was asked how many hours he or she spent doing homework in statistics. The data are listed below. 40, 41, 29, 30, 31, 31, 34, 29, 37, 41, 37, 40 It is known that the population standard deviation is 8. The instructor has recommended that students devote 3 hours per week for the duration of the 12-week semester,...
A random sample of 12 second-year university students enrolled in a business statistics course was drawn....
A random sample of 12 second-year university students enrolled in a business statistics course was drawn. At the course's completion, each student was asked how many hours he or she spent doing homework in statistics. The data are listed below. 281726262620292823271820282626292318172620282720 It is known that the population standard deviation is 9. The instructor has recommended that students devote 2 hours per week for the duration of the 12-week semester, for a total of 24 hours. Test to determine whether there...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT