A group of students (large group) took a test in mathematics and the final scores have a mean of 68 and a variance of 100. If the distribution of these scores is approximately normal, then what percent of the students: Scored higher than 75? Should pass the test (scores > 65)? Should fail the test (scores < 65)? i. ii. iii.

A group of students (large group) took a test in mathematics and the final scores have a mean of 68 and a variance of 100. If the distribution of these scores is approximately normal, then what percent of the students: Scored higher than 75? Should pass the test (scores > 65)? Should fail the test (scores < 65)? i. ii. iii.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 22PFA

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Concept explainers

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.

Question

A group of students (large group) took a test in mathematics and the final scores have a
mean of 68 and a variance of 100. If the distribution of these scores is approximately
normal, then what percent of the students:
i.
Scored higher than 75?
Should pass the test (scores > 65)?
Should fail the test (scores < 65)?
ii.
iii.

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