1. The scores of individual students on a national test have a normal distribution with mean 18.6 and standard deviation 5.9. At Federico Ramos Rural High School, 76 students took the test. If the scores at this school have the same distribution as national scores, what are the mean and standard of the sample mean for 76 students?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 19PPS
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Practice C
Solve the following problems. Assume that the population is infinite in each case.
1. The scores of individual students on a national test have a normal distribution with
mean 18.6 and standard deviation 5.9. At Federico Ramos Rural High School, 76
students took the test. If the scores at this school have the same distribution as national
scores, what are the mean and standard of the sample mean for 76 students?
2. A molding machine prepares a certain kind of car spare part with a target diameter u
= 40.265 millimeters. The machine has some variability, so the standard deviation of
the diameter is O = 0. 004 millimeters. A sample of 6 spare parts is inspected each
hour for process control purposes and records are kept of the sample mean diameter.
What will be the mean and standard deviation of the numbers recorded?
Transcribed Image Text:Practice C Solve the following problems. Assume that the population is infinite in each case. 1. The scores of individual students on a national test have a normal distribution with mean 18.6 and standard deviation 5.9. At Federico Ramos Rural High School, 76 students took the test. If the scores at this school have the same distribution as national scores, what are the mean and standard of the sample mean for 76 students? 2. A molding machine prepares a certain kind of car spare part with a target diameter u = 40.265 millimeters. The machine has some variability, so the standard deviation of the diameter is O = 0. 004 millimeters. A sample of 6 spare parts is inspected each hour for process control purposes and records are kept of the sample mean diameter. What will be the mean and standard deviation of the numbers recorded?
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