Question

Question 4 10 pts Percentage of scores falling between z's of 50 and 1.25. Question 5 10 pts Percentage of scores falling between z's of -53 and +84 Question 6 10 pts On a normal distribution with a mean of 200 and a standard deviation of 50, what percentage of cases will fall between a raw score of 185 and 195?

Answer 1

Solution-4: Percentage of z-scores falling between a z of 0.50 and 1.25 P(0.50 s z s 1.25) P(0.50 s z s 1.25) P(z s 1.25) P(zs 0.50) From normal distribution table; P(z s 1.25)- P(z s 0.50) 0.8944 0.6915 0.2029 Hence, percentage of z-scores falling between a z of 0.50 and 1.25-0.2029-: 20.29% Solution-5: Percentage of z-scores falling between a z of -0.53 and +0.84 P(-0.53 z 0.84) P(-0.53 s z s 0.84) P(z s 0.84) P(zs-0.53) From normal distribution table; P(z s 0.84)- P(zS-0.53) 0.7995 0.2981 0.5014 Hence, percentage of z-scores falling between a z of-0.53 and +0.84 0.50 14 50.14% Solution-6: Mean u 200 Standard deviation σ 50 Z-score for(x18 185 200 50 Z0.30

Z-score for (x195): 195-200 50 Percentage of cases falling between raw scores of 185 and 195 P(185 S x s 195) P(185 Sx s 195)- P(-0.30 s z s -0.10) P(zs -0.10) P(z -0.30) From normal distribution table; P(z-0.10) P(z s -0.30) 0.4602 0.3821 0.0781 Hence, percentage of cases falling between raw scores of 185 and 195-0.0781-7.8190