Question 6: A hypothesis test results in the rejection of the null hypothesis at significance level a=0.05. What is the result if the test is redone at significance level a=0.01, with all other test parameters remaining the same? (a) The null hypothesis is still rejected with a higher power value (b) The null hypothesis is still rejected with a lower power value (c) The null hypothesis may not be rejected with a higher power value (d) The null hypothesis may not be rejected with a lower power value Question 7: Of the following scenarios, which produces the narrowest confidence interval? (a) 95% confidence level with n=20 (c) 90% confidence level with n=20 (b) 95% confidence level with n=100 (d) 90% confidence level with n=100 Question 8: Which of the following statements is true? (a) Mutually exclusive events are independent (b) According to Bayes' rule, P(B|A)P(B) = P(A|B)P(A) (c) If the true value of u approaches (but not attains) the hypothesized µ value, ß increases (d) If X and Y are independent random variables, then Cov (X, Y) = 0

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.