QUESTION 17 Suppose an unfair die is rolled 100 times to investigate whether it fits a specific probability model. After tossing, the specific model and the observed numbers are shown in the following table: Number (X) 2 3 4 5 6 P(X) 0.17 0.08 0.25 0.1 020 102 Observed frequencies 18 20 14 23 16 (0;) Expected frequencies ? ? (E.) The expected frequency that a "TWO" appears is OAg O B. 50/3 Ocg OP. 18QUESTION 27 The diameter of cork of a Champagne bottle is supposed to be 1.5 cm. If the cork is either too large or too small, it will not fit in the bottle. The random sample data don't show strong evidence that the true mean diameter has moved away from the target, at significance level a = 0.05. Which of the following intervals could be the 95% confidence interval of the true mean based OA (1.343cm, 1.461cm) O B. (1.528cm, 1.604cm) O c. (1.488cm, 1.501cm) O D. (1.458cm, 1.499cm) O D. (1.458cm, 1.499cm) QUESTION 28 Consider a test of significance of Ho VS. HA . If He is not rejected at 5% level of significance, then Ho is also not rejected at OA 1% level O B. 10% level O C. Both (A) and (B) O D. None of the above QUESTION 29 Which of the following statements about type I and type II errors is TRUE? O AP(Type I error) + P(Type II error) = 1. O B. P(Type II error) = a (the significance level used). C.Type I error is the decision of rejecting Ho when HA is true. O D. With a large enough sample size, both types of errors can be made small by selecting a small a