RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If you are to find P (x̄ ≥ 10) that means
A
the probability that the sample mean is less than 10
B
the probability that the sample mean is no more than 10
C
the probability that the sample mean is at least 10
D
the probability that the sample mean is more than 10
Explanation: 

Detailed explanation-1: -For a variable x and a given sample size n, the distribution of the variable x̅(all possible sample means of size n) is called the sampling distribution of the mean. Note: The larger the sample size the smaller the sampling error tends to be in estimating a population mean, , by a sample mean x̅.

Detailed explanation-2: -The sample mean symbol is x̄, pronounced “x bar”. The sample mean is an average value found in a sample. A sample is just a small part of a whole.

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