Stats 151 - Estimation Population Mean from the Sample Mean

Question	Answer
what is P^?	values used to predict the structure of a graph that all lie on the bell curve distribution. they are known from the sample
P^ values are used as estimate of u? How are some good and some bad?	only estimates that are near the center count as good.
what is 1-alpha?	the confidence interval for u
to find the probability that a value will be near u you need to find m. how do you do this?	P(u-m < x bar < u+m) = 1-alpha. subtract u from both sidesand divide each portion by sigma over square root of n. P(-m/sigma/square root of n < Z < m/sigma/square root of n)= 1- alpha. this is equal to - M = Za/2(sigma/ square root of n). this is only used when the sample is greater then 30
how do we find the probability for the values if the sample is less then 30?	X bar + or – ta/2 (sigma/ square root of n)
how do you find the probability for graph with a confidence level of 95%	calculate the outter sections by finding alpha over 2 which gives you 0.005. add this to 0.99 to find the area of the main section. which is 0.995. use this value to find the z score and then plug in for Za/2

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	Created by jennabarnes12387 almost 11 years ago