In a data management exam, the scores of 567 participants followed a continuous normal distribution. It is known that the mean from all of the students is 75, and to reach the top 1%, students need to score more than (exactly) 92. a) Estimate the number of students who scored between 60 and 70. b) 10 students are good friends. After knowing each other’s marks, they came up with a 95% confidence interval of 65 ± 12 for the population mean. Can you conclude that, with a 90% confidence level, that these students performed worse than average?
In a data management exam, the scores of 567 participants followed a continuous normal distribution. It is known that the mean from all of the students is 75, and to reach the top 1%, students need to score more than (exactly) 92. a) Estimate the number of students who scored between 60 and 70. b) 10 students are good friends. After knowing each other’s marks, they came up with a 95% confidence interval of 65 ± 12 for the population mean. Can you conclude that, with a 90% confidence level, that these students performed worse than average?
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 23PPS
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- In a data management exam, the scores of 567 participants followed a continuous
normal distribution . It is known that themean from all of the students is 75, and to reach the top 1%, students need to score more than (exactly) 92.
a) Estimate the number of students who scored between 60 and 70.
b) 10 students are good friends. After knowing each other’s marks, they came up with a 95% confidence interval of 65 ± 12 for the population mean. Can you conclude that, with a 90% confidence level, that these students performed worse than average?
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