Question

In: Economics

A firm produces cans of soup. The can weights are normally distributed with a mean of...

A firm produces cans of soup. The can weights are normally distributed with a mean of 451 grams and a standard deviation of 13 grams. a) If a single can is randomly selected during a production run, find the probability the can weight is less than 438 grams. (4 decimal places) b) The quality control inspector randomly selects a sample of 42 cans for testing. Find the probability that the sample average weight will be more than 455 grams. (4 decimal places)

Solutions

Expert Solution


Related Solutions

A manufacturing process produces bags of cookies that have Normally distributed weights with a mean of...
A manufacturing process produces bags of cookies that have Normally distributed weights with a mean of μ = 15.5 oz. and a standard deviation of σ = 0.4 oz. What is the probability that a randomly selected bag weighs more than 15.2 oz? What is the probability that 16 randomly selected bags have a mean weight that exceeds 15.2 oz?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 20 lb and a standard deviation of 9. If 9 fish are randomly selected, what is the probability that the mean weight will be between 17.6 and 23.6 lb? Write your answer as a decimal rounded to 4 places.
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 9.4 lb and a standard deviation of 2.3. If 42 fish are randomly selected, what is the probability that the mean weight will be more than 9.7 lb?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 13 pounds and a standard deviation of 6. If a sample of 9 fish are randomly selected, what is the probability that the mean weight will be between 10.2 and 16.6 pounds?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 9.9 lb and a standard deviation of 2.1. If 75 fish are randomly selected, what is the probability that the mean weight will be between 7.7 and 10.4 lb?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 15.2 pounds and a standard deviation of 4 pounds. If 6 fish are randomly selected, find the probability that the mean weight is between 13.6 and 17.6 pounds. Round your answer 4 places after the decimal point.
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 20 lb and a standard deviation of 9. a. If one fish is randomly selected, what is the probability that the mean weight will be between 17.6 and 23.6 lb? b. If 9 fish are randomly selected, what is the probability that the mean weight will be between 17.6 and 23.6 lb?
The weights of the fish in a certain lake are normally distributed with a mean of...
The weights of the fish in a certain lake are normally distributed with a mean of 15.9 pounds and a standard deviation of 5.1 pounds. If 5 fish are randomly selected, find the probability that the mean weight is between 11.4 and 18.6 pounds. Round your answer 4 places after the decimal point.
The weights of a certain brand of candies are normally distributed with a mean weight of...
The weights of a certain brand of candies are normally distributed with a mean weight of 0.8541 g and a standard deviation of 0.0517g. A sample of these candies came from a package containing 440 candies and the package label stated that the net weight is 375.6 ( If every package has 440 candies, the mean weight of the candies must exceed 374 / 440= 0.8536 g for the net contents to weigh at least 375.6 g)g.) a. If 1...
The population of weights of a particular fruit is normally distributed, with a mean of 483...
The population of weights of a particular fruit is normally distributed, with a mean of 483 grams and a standard deviation of 20 grams. If 15 fruits are picked at random, then 8% of the time, their mean weight will be greater than how many grams? ROUND ANSWER TO NEAREST GRAM!!!!!!
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT