Question

In: Statistics and Probability

The owner of a fish market has an assistant who has determined that the weights of...

The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean of 3.2 pounds and standard deviation of 0.8 pound. If a sample of 4 fish is taken. What is the probability that the sample means will be between 3.1 and 4.0 pounds?

A

0.5759
B

0.9772
C

0.4972
D

0.6687

Solutions

Expert Solution

As this follows a Normal Distribution we use the formula mentioned and calculate the required probability. The probability value is obtained from STATKEY (image attached for reference).

orchestra answered 3 years ago
Next > < Previous

Related Solutions

The owner of a fish market has an assistant who has determined that the weights of...
The owner of a fish market has an assistant who has determined that the weights of catfish are normally distributed, with mean of 3.2 pounds and standard deviation of 0.8 pound. A)  If just one fish is taken, what would the standard error of the mean weight equal? B) If a sample of 4 fish is taken, what would the standard error of the mean weight equal?
9. If a fishing boat owner brings 10,000 fish to market and the market price is...
9. If a fishing boat owner brings 10,000 fish to market and the market price is $7 per fish, she will have $70,000 in total revenue. If the average variable cost of 10,000 fish is $4 and the fixed cost of the boat is $20,000, what is her profit? a. $1. b. $3. c. $1,000. d. $3,000. e. $10,000. 10. A firm is currently operating where the MC of the last unit produced = $64, and the MR of this...
Fish weights: A fish hatchery raises trout to stock streams and lakes. The weights, in ounces,...
Fish weights: A fish hatchery raises trout to stock streams and lakes. The weights, in ounces, of a sample of 18 trout at their time of release are as follows. 9.9 11.3 11.4 9.0 10.1 8.2 8.9 9.9 10.5 8.6 7.8 10.8 8.4 9.6 9.9 8.4 9.0 9.1 Construct a stem-and-leaf plot for this sample. Is it reasonable to treat the sample as coming from an approximately normal population? Explain. Include support for your decision. Graphical displays should be formatted...
Joseph Czerniakow is the owner of a fish market. To better understand his business, Joseph asked...
Joseph Czerniakow is the owner of a fish market. To better understand his business, Joseph asked his assistant, Rachel Hirsh, to record how customers make their payments. After several months of data collection, Rachel reported to Joseph that 30 percent of all fish market sales are cash, 30 percent are paid with a debit card, and the remaining sales are paid with a credit card. However, 20 percent of cash purchases, 90 percent of credit card purchases and 60 percent...
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?
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT