34, A 9u, Given that x 1410, Rs corresponding 2-score is (a) True b) False distr

Question

34, A 9u, Given that x 1410, Rs corresponding 2-score is (a) True b) False distributed with a mean of 1200 and a standard deviation 1.40 35. If x is a normall random variable with (a) True (b) False 3).Pu»7). wan mean of 2 and standard deviaton of 5, then P(x 2 and 36. Using the standard normal curve, the area between (a) True (b) False z 1.50 and z» 1.60 is 04332 37. Let x be a continuous random false? variable and let c be a constant. Which of the following statements is betweon x1 and s2ume a value in the interval x1 to x2 is the area under the probability density d. All of those. . None of these. 38. What mean? a. 0.4772 b. 0.3413 c. 0.6826 d. 0.9544 e. 0.8824 proportion of the data from a normall distribution is within two standard deviations from the isastandard normal random variable, the area between z-0.0and z-1,20 is 0.3849,while the area between a. 0.0808 b. 0.1151 c. 0.0343 d. 0.8041 o 0.1646 1 2-0.0 and z- 1.40 is 0.4192. What is the area between z--1.20 and z-1.407 Even though the normal probability distribution deals with continuous variables, under certairn circumstances, normal probability distribution is permissible: a in the case of binomial probabilities, when np > b. in the case of Poisson probabilities, when 100 c. in the case of hypergeometric probabilities d. in all of these e. in none of these we can use it to approximate various discrete probability distributions. Such use of the the case of binomial probabities, when np s 5 and also ng s when np> 1 and also n1> 1 41. If the correlation coefficient r-O, then there is no linear relationship whatsoever between the dependent variable y and the independent variable x. a) True b) False 42. A perfect straight line sloping upward would produce a correlation coefficient of +1. a) True b) False 43. A perfect straight line sloping downward would produce a correlation coefficient of-1. a) True b) False 44. The standard deviation is a measure of the linear relationship between two quantitative variables. a) True b) False 45. Generallyspeaking. if two quantitative variables are unrelated, the covariance will be a positive or negative number close to zero. a) True b) False

Explanation / Answer

34)a) Z = (1410 - 1200)/150 = 1.4

Option-A )true

35) P(X < 3) = P(Z < (3 - 2/5))

= P(Z < 0.2) = 0.5793

P(X > 7) = 1 - P(Z < (7 - 2)/5)

= 1 - P(Z < 1)

= 1 - 0.8413 = 0.158

Option-B) false

36) P(Z < -1.50 ) = 0.0668

P(Z < 1.50 )= 0.9332

0.9332 - 0.0668 =0.8664

Option-B)false

37) Option-C

38) Option-D

39)P(Z < -1.2) = 0.1151

P(Z < 1.4) = 0.9191

0.9192 - 0.1151 = 0.8041

Option-D

40) Option-D

41) Option-A

42 ) Option-A

43) Option-A

44) Option-A

45) Option-A

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