The sample statistic s is the point estimator of a. mu b. lambda c. x d. The ___
ID: 3229894 • Letter: T
Question
The sample statistic s is the point estimator of a. mu b. lambda c. x d. The ______ states in selecting random samples of size n from a population, the sampling distribution of the sample mean x can be approximated by a normal distribution as the sample size becomes large. a. binomial theorem b. central limit theorem c. normal distribution theorem d. deviation about the mean The expected value of the sample mean E(x) is: a. lambda b. theta c. rho d. mu A simple random sample of size n from an infinite population is a sample selected such that the following conditions are satisfied: a. Each element selected is from the same population; Each element is selected independently b. Each element selected is from different population; Each element selected is dependent on the previous element selectedExplanation / Answer
Q-1-Part-d
Sample statistic s is the sample standard deviation which is used as point estimate of population standard deviation
Q-2-Part-b
The central limit theorem states that as sample size increases the sampling distribution of mean is normal with mean same as population mean and standard deviation equals to population standard deviation divided by square root of sample size.
Q-3-Part-d
As sample mean is unbiased estimated of population mean, so E(xbar)=µ
Q-4-Part-a
This is because simple random sample means independently selecting individuals from population with equal propbability.
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