RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

TESTS OF SIGNIFICANCE

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
When performing a test about the population mean, what distribution would you need to use?
A
z
B
t
C
chi-square
D
cannot determine
Explanation: 

Detailed explanation-1: -Perform tests of a population mean using a normal distribution or a Student’s t-distribution. (Remember, use a Student’s t-distribution when the population standard deviation is unknown and the distribution of the sample mean is approximately normal.)

Detailed explanation-2: -You must use the t-distribution table when working problems when the population standard deviation () is not known and the sample size is small (n<30). General Correct Rule: If is not known, then using t-distribution is correct.

Detailed explanation-3: -The One Sample t Test compares a sample mean to a hypothesized value for the population mean to determine whether the two means are significantly different.

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