Solve the following questions with proper answer
1. At a college a popular achievement test is used for advanced college placement. Counselors selected a random sample of 16 students from the college and scored their tests by hand before sending them in for computer processing. For this sample, the mean was 520 and s = 20. Construct a 95% confidence interval for the mean. Circle the correct answer
(A) (509.4, 530.6)
(B) (508.8, 531.2)
(C) (510.1, 530.0)
(D) (509.6, 530.4)
2. Dental Anxiety Study: Study of adults who completed the Dental Anxiety Scale scored from 0 ( no anxiety) to 20 (extreme anxiety). The Summary statistics for the scores of 25 adults who completed the questionnaire are ¯x = 10.2 and s = 3.6. Conduct a test of Hypothesis to determine whether the mean anxiety scale score for the population of College students is less than 12. Let H0 : µ = 12, and Ha : µ < 12.
(A). P-value is in (0.005, 0.01), so, we reject H0 at α = 0.01.
(B). P-value is in (0.005, 0.01), so, we accept H0 at α = 0.01.
(C). P-value is in (0.05, 0.10), so, we reject H0 at α = 0.05.
(D). P-value is in (0.05, 0.10), so, we accept H0 at α = 0.05.
3.A poker player pick five cards randomly, and he gets ♥6, ♣6, ♦6 ♥9, ♠Q. He pick one more card. What is the probability that he can have a house (that is, a triple and a pair, like 666QQ,,66699)? (
A)47 × 46 52 × 51 (
B) 8 47
(C) 6 47
D) 10 52
(E) 8 51 .
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