State whether the following statements are True or False 5 m

State whether the following statements are True or False. (5 marks, 1 Mark Each)

Mean value over an infinite number of observations of the variables is the expected value of a random variables.

Data that are influenced by many small and unrelated random effects are approximately normally distributed.

A critical value is a z score separating unlikely values from those that are likely to occur.

It is 90% (or 0.90) confidence level for corresponding value of = 0.20

Solution

1. TRUE: Mean value over an infinite number of observations of the variables is the expected value of a random variables.

2. FALSE: A standard normal distribution has the mean equal to the variance.

3. TRUE: Data that are influenced by many small and unrelated random effects are approximately normally distributed.

4. TRUE: A critical value is a z score separating unlikely values from those that are likely to occur.

5. FALSE. It is 90% (or 0.90) confidence level for corresponding value of = 0.20. [It is 1 - 0.20 = 0.80 confidence]

State whether the following statements are True or False. (5 marks, 1 Mark Each) Mean value over an infinite number of observations of the variables is the expe

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