One Sample Mean: II George plans to take simple random sample of size 50 from a population, and to compute the mean x-bar of the weights of the people in the sample. Unknown to George, the mean of the...

One Sample Mean: II

George plans to take simple random sample of size 50 from a population, and to compute the mean x-bar of the weights of the people in the sample. Unknown to George, the mean of the population is 145 and the SD of the population is 23.

Using the normal-curve approximation from Central Limit Theorem, compute the approximate probability that x-bar will turn out to be more than 147 pounds.

Write your answer as a decimal between 0 and 1, not as a percentage, and make sure that it is correct to at least two decimal places.