5. A company of 450 factories. Management is interested in average break downs (X) of production lines across all 450 factories per month because of the high cost of breakdowns. From historical data it was found that there was a mean of 120 breakdowns across all factories with a variance of 20. It was also found that about 20% of the factories had no break downs. Answer the following questions. 5.1. What does "a mean of 120 break downs" mean? 5.2. Give the standard deviation of the population. 5.3. Give the variance of the population proportions of the breakdowns. 6. Refer to Question 5. 6.1 With a month's worth of data, a simple random sample, without replacement, of 60 factories was drawn and the following result was determined: X = 100. Explain this in words and in detail. 6.2. Find the standard error of the number of breakdowns per month from the sample and interpret it. 6.3. Find the standard error of the proportion of breakdowns per month from the sample.
5. A company of 450 factories. Management is interested in average break downs (X) of production lines across all 450 factories per month because of the high cost of breakdowns. From historical data it was found that there was a mean of 120 breakdowns across all factories with a variance of 20. It was also found that about 20% of the factories had no break downs. Answer the following questions. 5.1. What does "a mean of 120 break downs" mean? 5.2. Give the standard deviation of the population. 5.3. Give the variance of the population proportions of the breakdowns. 6. Refer to Question 5. 6.1 With a month's worth of data, a simple random sample, without replacement, of 60 factories was drawn and the following result was determined: X = 100. Explain this in words and in detail. 6.2. Find the standard error of the number of breakdowns per month from the sample and interpret it. 6.3. Find the standard error of the proportion of breakdowns per month from the sample.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 24PFA
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