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A paper company has about 50 paper mills distributed over 3 provinces. The 50 papermills have a total of 600 machines. Lately it was found that some of the paper the company produces has a thickness above the specification of 2mm. From historical data it was found that the mean paper thickness 1.3mm the variance of 2. Answer the following questions. 1.1. A sample (without replacement) from 10 papermills across the two provinces was taken which have a total of 80 machines in the sample. From the sample it was determined that the average thickness of the paper produced by the machines was 1.2mm and the standard error of the thickness was 1.3 mm. Find the variance of the mean and the estimated standard error of the mean thickness of the paper of the sample. 1.2. Further investigation found that the proportion of machines that produces thickness over the limit in the 50 paper mills is 60%. If this proportion was to be estimated form the sample of machines from the 10 paper mills as p, find the standard error of this proportion.

A paper company has about 50 paper mills distributed over 3 provinces. The 50 papermills have a total of 600 machines. Lately it was found that some of the paper the company produces has a thickness above the specification of 2mm. From historical data it was found that the mean paper thickness 1.3mm the variance of 2. Answer the following questions. 1.1. A sample (without replacement) from 10 papermills across the two provinces was taken which have a total of 80 machines in the sample. From the sample it was determined that the average thickness of the paper produced by the machines was 1.2mm and the standard error of the thickness was 1.3 mm. Find the variance of the mean and the estimated standard error of the mean thickness of the paper of the sample. 1.2. Further investigation found that the proportion of machines that produces thickness over the limit in the 50 paper mills is 60%. If this proportion was to be estimated form the sample of machines from the 10 paper mills as p, find the standard error of this proportion.

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
Section10.5: Comparing Sets Of Data
Problem 14PPS
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Question 1 A paper company has about 50 paper mills distributed over 3 provinces. The 50 papermills have a total of 600 machines. Lately it was found that some of the paper the company produces has a thickness above the specification of 2mm. From historical data it was found that the mean paper thickness 1.3mm the variance of 2. Answer the following questions. 1.1. A sample (without replacement) from 10 papermills across the two provinces was taken which have a total of 80 machines in the sample. From the sample it was determined that the average thickness of the paper produced by the machines was 1.2mm and the standard error of the thickness was 1.3 mm. Find the variance of the mean and the estimated standard error of the mean thickness of the paper of the sample. 1.2. Further investigation found that the proportion of machines that produces thickness over the limit in the 50 paper mills is 60%. If this proportion was to be estimated form the sample of machines from the 10 paper mills as p, find the standard error of this proportion.
Transcribed Image Text:Question 1 A paper company has about 50 paper mills distributed over 3 provinces. The 50 papermills have a total of 600 machines. Lately it was found that some of the paper the company produces has a thickness above the specification of 2mm. From historical data it was found that the mean paper thickness 1.3mm the variance of 2. Answer the following questions. 1.1. A sample (without replacement) from 10 papermills across the two provinces was taken which have a total of 80 machines in the sample. From the sample it was determined that the average thickness of the paper produced by the machines was 1.2mm and the standard error of the thickness was 1.3 mm. Find the variance of the mean and the estimated standard error of the mean thickness of the paper of the sample. 1.2. Further investigation found that the proportion of machines that produces thickness over the limit in the 50 paper mills is 60%. If this proportion was to be estimated form the sample of machines from the 10 paper mills as p, find the standard error of this proportion.
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