A sample of size n=68 is taken from a population of size N=644
a-1) We use the finite population correction factor when the sample size is 5% or more than the population
The sampling fraction in this case is
This sampling fraction is greater than 0.05. Hence we need to use the finite population correction factor
ans: Yes
a-2) Let be a sample of size n=68 taken from a population of size N=644, having a mean and variance
We can say that the expected value of is
the standard deviation of (ir the standard error of mean ) is
ans:
b) Since the sample size n=68 is greater than 30, using the central limit theorem, we can say that has a normal distribution with mean and standard deviation (or is called the standard error of mean)
The probability that the sample mean is less than 228 is
ans: The probability that the sample mean is less than 228 is 0.0000
c) The probability that the sample mean is between 236 and 251 is
ans: probability: 9265
A random sample of size n=68 is taken from a finite population of size N=644 with...
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