PLEASE ANSWER ALL QUESTIONS FOR THUMBS UP Given the standard normal curve below

Question

PLEASE ANSWER ALL QUESTIONS FOR THUMBS UP

Given the standard normal curve below and the indicated area region, determine z.| A. 0.3328 B. 1.49 C. 0.18 D. 0.57 IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15. An individual's IQ score is found to be 110. Find the z-score corresponding to this value. A. -0.67 B. 1.33 C.-1.33 D. 0.67 Given the standard normal curve below and the indicated area region, determine z. A. z = 0.58 B. z = 729 C. z = -0.58 D.z = -2.58Given the standard normal curve below and the indicated area region, determine z. A. -1.71 B. -0.58 C.1.71 D.0.58For a sampling distribution, find P(z > 1.48) 0.4306 0.5694 0.9306 0.0694

Explanation / Answer

a) P(-z < Z < z) = 0.4314

or, P(Z < z) - P(Z < -z) = 0.4314

or, P(Z < z) - [1 - P(Z < z)] = 0.4314

or, 2 * P(Z < z) - 1 = 0.4314

or, P(Z < z) = 0.7157

or, z = 0.57

Option-D) 0.57

14) = 100

= 15

Z = (X - ) /

X = 110

Z = (110 - 100) / 15 = 0.67

Option-D) 0.67

11) P(Z < z) = 0.2810

or, z = -0.58

Option-C) -0.58

12) P(Z > z) = 0.9564

or, 1 - P(Z < z) = 0.9564

or, P(Z < z) = 0.0436

or, z = -1.71

Option-A) -1.71

21) P(Z > 1.48) = 1 - P(Z < 1.48)

                         = 1 - 0.9306

                         = 0.0694

Option-D) 0.0694

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