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Chapter 6-2 & 6-3 Questions (STAT-200)

Chapter 6-2 & 6-3 Questions (STAT-200) - Tommy Y Choi...

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Tommy Y. Choi STAT-200 OL1 Chapter 6-2 Questions: Problem 4, 12, 32, 38, 44, 48 4) Notation: What does the notation z a indicate? a) Answers : The notation z a indicates the z-Score with an area of α to it’s right. 12) Standard Normal Distribution: Find the area of the shaded region. The graph depicts the standard normal distribution with mean 0 and standard deviation 1 a) z = -0.90 and z = 1.60 a. P(-0.09 < z < 1.60) = P(-0.90) – P(1.60) i. 0.9452 – 0.1841 = 0.7611 32) Standard Normal Distribution : Assume that thermometer readings are normally distributed with a mean of 0°C and a standard deviation of 1.00°C. A thermometer is randomly selected and tested. In each case, draw a sketch, and find the probability of each reading. (The given values are in Celsius Degrees.) If using technology instead of Table A-2, round answers to four decimal places. a) Between -4.50 and 1.00 a. P(-4.50 < z < 1.00) = P(-4.50) – P(1.00) i. 0.9999 – 0.8413 = 0.1586 38) Basis for the Range Rule of Thumb and the Empirical Rule: Find the indicated area under the curve of the standard normal distribution,
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Tommy Y. Choi STAT-200 OL1 then convert it to a percentage and fill in the blank.
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