A random sample of size n-477 is taken from a population of size N variance o2-1
ID: 3368194 • Letter: A
Question
A random sample of size n-477 is taken from a population of size N variance o2-177. Use Table 1. 9,800 with mean ?--65 and a-1. Is it necessary to apply the finite population correction factor? O Yes O No a-2. Caloulate the expected value and the standard error of the sample mean. (Negative values should be indicated by a minus sign. Round "standard error" to 2 decimal places.) Expected value Standard error b. What is the probability that the sample mean is between -67 and -637 (Round "2" value to 2 decimal places, and final answer to 4 decimal places Probability c.What is the probability that the sample mean is greater than-647 (Round "t value to 2 decimal places, and final answer to 4 decimal places.) ProbabilityExplanation / Answer
a-2)
expected value =-65
std error =sqrt(variance/n)=sqrt(177/477)=0.91
b)
P(-67<Z<-63)=P(-3.28<Z<3.28)=0.9995-0.0005=0.9990
c)
P(X>-64)=P(Z>1.64)=0.0505
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