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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?

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?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question 2, a. & b

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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