please help!

[statpr226]

The management of the milk farm agreed to do a descriptive study of the production process.
The farm now has 450 cows. The number of liters of milk produced per day by each of 50 randomly selected cows was registered. Assume the standard deviation of the population is 5 liters.
a. What is the chance that the survey mean is more than 2 liters higher than the population mean?
b. What is the chance that the survey mean is less than the population mean by more than 1 liter?

c. What is the chance that the sample mean varies from the population mean by more than one standard deviation?

Is it 1.5 liters?

 

[Deleted member 4993]

The management of the milk farm agreed to do a descriptive study of the production process.
The farm now has 450 cows. The number of liters of milk produced per day by each of 50 randomly selected cows was registered. Assume the standard deviation of the population is 5 liters.
a. What is the chance that the survey mean is more than 2 liters higher than the population mean?
b. What is the chance that the survey mean is less than the population mean by more than 1 liter?

c. What is the chance that the sample mean varies from the population mean by more than one standard deviation?

Is it 1.5 liters?

you say:

" Is it 1.5 liters"

Which part of the problem are you answering?

How did you get 1.5?

Please share your work!

 

[HallsofIvy]

The management of the milk farm agreed to do a descriptive study of the production process.
The farm now has 450 cows. The number of liters of milk produced per day by each of 50 randomly selected cows was registered. Assume the standard deviation of the population is 5 liters.
a. What is the chance that the survey mean is more than 2 liters higher than the population mean?
b. What is the chance that the survey mean is less than the population mean by more than 1 liter?

c. What is the chance that the sample mean varies from the population mean by more than one standard deviation?

Is it 1.5 liters?

Is WHAT 1.5 liters? All three questions as for a probability, not a quantity of milk!