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e. The weight that divides the distribution such that 1% of the weights are above it. f. Beyond what weights do the most extreme 5% of the scores lie? g. If 15,000 infants have been born at the hospital, how many weighed less than 3.5 kilograms?

e. The weight that divides the distribution such that 1% of the weights are above it. f. Beyond what weights do the most extreme 5% of the scores lie? g. If 15,000 infants have been born at the hospital, how many weighed less than 3.5 kilograms?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Letters - d,e,f,g

Below is a screenshot of a normal curve table: % Mean to Z % in Tail % Mean to Z % in Tail .00 .00 50.00 45 17.36 32.64 .01 .40 49.60 .46 17.72 32.28 .02 .80 49.20 .47 18.08 31.92 .03 1.20 48.80 48 18.44 31.56 .04 1.60 48.40 49 18.79 31.21 .05 1.99 48.01 .50 19.15 30.85 .06 2.39 47.61 .51 19.50 30.50 .07 2.79 47.21 .52 19.85 30.15 .08 3.19 46.81 .53 20.19 29.81 .09 3.59 46.41 .54 20.54 29.46 .10 3.98 46.02 .55 20.88 29.12 .11 4.38 45.62 .56 21.23 28.77 .12 4.78 45.22 .57 21.57 28.43 .13 5.17 44.83 .58 21.90 28.10 .14 5.57 44.43 .59 22.24 27.76 .15 5.96 44.04 .60 22.57 27.43 .16 6.36 43.64 .61 22.91 27.09 .17 6.75 43.25 .62 23.24 26.76 .18 7.14 42.86 .63 23.57 26.43 .19 7.53 42.47 .64 23.89 26.11 20 7.93 42.07 .65 24.22 25.78 21 8.32 41.68 .66 24.54 25.46 - Write the solutions of Question 1 A to G. - Show complete steps of the solution. Make sure that your solution is in order. Show the shaded normal curve and where the score is located. - Encircle/box your final answers. - Round off to the nearest hundredth place only on your final answer. Question 1: A hospital in a large city records the weight of every infant born at the hospital. The distribution of weights is normally shaped with a mean u = 2.9 kg, and a standard deviation of 0.45. Determine the following: a. The percentage of infants who weighed less than 2.1 kilograms b. The percentile rank of a weight of 4.2 kilograms c. The percentage of infants who weighed between 1.8 and 4.0 kilograms d. The percentage of infants who weighed between 3.4 and 4.1 kilograms
Transcribed Image Text:Below is a screenshot of a normal curve table: % Mean to Z % in Tail % Mean to Z % in Tail .00 .00 50.00 45 17.36 32.64 .01 .40 49.60 .46 17.72 32.28 .02 .80 49.20 .47 18.08 31.92 .03 1.20 48.80 48 18.44 31.56 .04 1.60 48.40 49 18.79 31.21 .05 1.99 48.01 .50 19.15 30.85 .06 2.39 47.61 .51 19.50 30.50 .07 2.79 47.21 .52 19.85 30.15 .08 3.19 46.81 .53 20.19 29.81 .09 3.59 46.41 .54 20.54 29.46 .10 3.98 46.02 .55 20.88 29.12 .11 4.38 45.62 .56 21.23 28.77 .12 4.78 45.22 .57 21.57 28.43 .13 5.17 44.83 .58 21.90 28.10 .14 5.57 44.43 .59 22.24 27.76 .15 5.96 44.04 .60 22.57 27.43 .16 6.36 43.64 .61 22.91 27.09 .17 6.75 43.25 .62 23.24 26.76 .18 7.14 42.86 .63 23.57 26.43 .19 7.53 42.47 .64 23.89 26.11 20 7.93 42.07 .65 24.22 25.78 21 8.32 41.68 .66 24.54 25.46 - Write the solutions of Question 1 A to G. - Show complete steps of the solution. Make sure that your solution is in order. Show the shaded normal curve and where the score is located. - Encircle/box your final answers. - Round off to the nearest hundredth place only on your final answer. Question 1: A hospital in a large city records the weight of every infant born at the hospital. The distribution of weights is normally shaped with a mean u = 2.9 kg, and a standard deviation of 0.45. Determine the following: a. The percentage of infants who weighed less than 2.1 kilograms b. The percentile rank of a weight of 4.2 kilograms c. The percentage of infants who weighed between 1.8 and 4.0 kilograms d. The percentage of infants who weighed between 3.4 and 4.1 kilograms
e. The weight that divides the distribution such that 1% of the weights are above it. f. Beyond what weights do the most extreme 5% of the scores lie? g. If 15,000 infants have been born at the hospital, how many weighed less than 3.5 kilograms? Question 2: At the end of the last semester, Samantha took four final exams. The mean and standard deviations for each exam along with Samantha's grade for each are listed below. Assume that the grades are normally distributed. Exam Mean Standard Deviation Samantha's grade Physics 75.4 6.3 78.2 World History 85.6 4.1 83.4 General 88.2 3.5 89.2 Psychology Behavioral 70.4 8.6 82.5 Statistics a. On which exam did Samantha do her best, relative to the other students taking the exam? b. What is her percentile rank on that exam that she did her best?
Transcribed Image Text:e. The weight that divides the distribution such that 1% of the weights are above it. f. Beyond what weights do the most extreme 5% of the scores lie? g. If 15,000 infants have been born at the hospital, how many weighed less than 3.5 kilograms? Question 2: At the end of the last semester, Samantha took four final exams. The mean and standard deviations for each exam along with Samantha's grade for each are listed below. Assume that the grades are normally distributed. Exam Mean Standard Deviation Samantha's grade Physics 75.4 6.3 78.2 World History 85.6 4.1 83.4 General 88.2 3.5 89.2 Psychology Behavioral 70.4 8.6 82.5 Statistics a. On which exam did Samantha do her best, relative to the other students taking the exam? b. What is her percentile rank on that exam that she did her best?
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