Thread: Normal distribution

Hi! I really, really need some help with a question on an assignment i have to do for quantitative analysis. The question is as follows: "What is the chance that a sample of 5 pies will have a mean less than 275 gm given the current machine setting?"
The machine setting is to produce pies with a mean weight of 285 gms. The standard deviation is 5 gms and weights are normally distributed. The probability of one pie being under 275 gms is 2.28% and there are 12,000 pies in one group from which a sample is taken.
Pleeeease could someone help me out with this?
/Vicky

Originally Posted by vicky86

Hi! I really, really need some help with a question on an assignment i have to do for quantitative analysis. The question is as follows: "What is the chance that a sample of 5 pies will have a mean less than 275 gm given the current machine setting?"
The machine setting is to produce pies with a mean weight of 285 gms. The standard deviation is 5 gms and weights are normally distributed. The probability of one pie being under 275 gms is 2.28% and there are 12,000 pies in one group from which a sample is taken.
Pleeeease could someone help me out with this?
/Vicky

The mean of a sample of size taken from a population has a distribution. Hence and the standard deviation of is So the score corresponding to is:



which is off the bottom of my normal distribution table so the reqired probability is essentialy .

RonL