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In: Statistics and Probability

Answer the following questions with clear explanation. a. Explain intuitively what does population mean and variance...

Answer the following questions with clear explanation.

a. Explain intuitively what does population mean and variance tells you about the distribution of a random variable?

b. Can you think of a reason why do we mostly only care about mean and variance a random variable since the distribution function could involve more than the two parameters?

c. Explain why we could use a sample data to draw conclusions about a population parameter?

d. Is p-value of a hypothesis test a random variable, why? e. If you reject your null hypothesis, you have proved that the null hypothesis is wrong. Is this a correct statement, why?

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