In: Statistics and Probability
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?