a large tank of fish from a hatchery is being delivered to a lake. the hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 2 inches. A random sample of 36 fish is taken from the tank. let x bar be the sample length of these fish. what is the probability that x bar is within .5 inches of the claimed population mean?

Question

a large tank of fish from a hatchery is being delivered to a lake. the hatchery claims that the mean length of fish in the tank is 15 inches, and the standard deviation is 2 inches. A random sample of 36 fish is taken from the tank. let x bar  be the sample length of these fish. what is the probability that x bar is within .5 inches of the claimed population mean?

zarkon · Answer

so you want $$P(14.5\le \overline{x}\le 15.5)$$

zarkon · Answer

do you know how to find the distribution of $\overline{x}$

anonymous · Answer

nvm i got it