Statistical Inference and Normal Distribution Quiz

This quiz assesses knowledge of statistical inference and normal distribution, key concepts in probability theory.

Dylan Price

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Statistical Inference and Normal Distribution QuizQuestion 1.1.Find the standardized variablezifxhas Mean 12 and standard deviation 4. (Points : 1)Z = (x-4)/12Z = (12-x)/4z = (x-12)/4Z = (x+12)/4Question 2.2.Find the area under the standard normal curve to the right ofz= 1.65. Round to fourdecimal places. (Points : 1).0495.9505.4505.0485Question 3.3.Find the area under the standard normal curve tothe left ofz= 2.63 (Points : 1).0043.0102.9957.9959Question 4.4.Find the area under the standard normal curve over the intervalz= −0.44 toz= 0.44.Compute probabilities using the standard normal table inAppendix B (Table 3). Round the answer tofour decimal places. (Points : 1)0.33000.34000.35000.3600Question 5.5.Scores on a certain nationwide college entrance examination follow a normal distributionwith amean of 550 and a standard deviation of 100. Find the probability that a student will score over680.Round your answer to four decimal places. (Points : 1)0.15870.09680.1459

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