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In: Statistics and Probability

Give a brief answer to each of the following four (4) questions: (a) (2 marks) Explain...

Give a brief answer to each of the following four (4) questions:

(a) Explain the difference between a Type 1 and a Type II error.

(b) If you want to reduce the margin of error of an estimate of a mean, what are the two things can you do?

(c) Explain the difference between an independent samples t-test and paired t-test.

(d) State and explain the Central Limit Theorem (CLT) for the sample mean when the population distribution is (i) symmetric and (ii) not symmetric.

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