RESEARCH METHODOLOGY

STATISTICAL TECHNIQUES AND TOOLS

SAMPLING DISTRIBUTION

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
If za is “off the charts” negative, then P(x̄<a) is ____
A
Approximately 0
B
Approximately 1
C
Approximately 0.5
D
Impossible to calculate
Explanation: 

Detailed explanation-1: -A negative z-score says the data point is below average. A z-score close to 0 says the data point is close to average. A data point can be considered unusual if its z-score is above 3 or below −3 .

Detailed explanation-2: -A negative z-score reveals the raw score is below the mean average. For example, if a z-score is equal to-2, it is 2 standard deviations below the mean. Another way to interpret z-scores is by creating a standard normal distribution (also known as the z-score distribution or probability distribution).

Detailed explanation-3: -A z-score can be positive, negative, or equal to zero. A positive z-score indicates that a particular value is greater than the mean, a negative z-score indicates that a particular value is less than the mean, and a z-score of zero indicates that a particular value is equal to the mean.

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