True or False. Please explain briefly. 1. If the p-value for an observed Z-stati

Question

True or False. Please explain briefly.

1. If the p-value for an observed Z-statistic (for a two sided test of the mean, say) is .5. The Z-statistic is equal to zero.

2. The CDF of a Uniform Random Variable is a linear function.

3. The Moment Generating Function for a Binomial Random Variable with parameters n and p is n times the MGF for a Bernoulli Random Variable with parameter p.

4. If the product of the expectation of two random variables is equals the expectation of their product, the random variables are independent.

5. If a random variable is degenerate, i.e. it has only one possible value, its conditional distribution can have more than one possible values.

Explanation / Answer

1. FALSE. The P value for a two tailed test is 1 if z = 0. z must be 0.674 to get a Pvalue = 0.5.

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2. TRUE. [ANSWER]

Integrating a constant function yields a linear function.

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