total workers survived ith a 3% significance le er produces a new cooker -. Now design decision rul

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Solve these 3 questions.
4. In a factory there were 300 workers under flu infection, 75% of the workers were hospitalized.
If half of the total workers survived after the treatment, find the confidence interval of the
proportion with a 3% significance level. Is the treatment effective? Why?
5. A manufacturer produces a new cooker and they claimed that it will reduce the fuel cost in half with
90% accuracy. Now design decision rule for the process with significance 0.05 by testing the cooker
to 50 customers.
6. A company produces mosquito killing bat whose average lifetime is 360. days and average variation
60 days. It is claimed that in a newly developed process the mean lifetime can be increased. Design a
decision rule for 100 samples with 0.1 significance. If the new process has increased the mean lifetime
to 375 days, assuming a sample of 120 bulbs with estimated lifetime 370 days, find a and ß. Again, a
sample of 80 cables is tested and it is found that the average lifetime is 368 days. Find the p-value of
the test.
Transcribed Image Text:4. In a factory there were 300 workers under flu infection, 75% of the workers were hospitalized. If half of the total workers survived after the treatment, find the confidence interval of the proportion with a 3% significance level. Is the treatment effective? Why? 5. A manufacturer produces a new cooker and they claimed that it will reduce the fuel cost in half with 90% accuracy. Now design decision rule for the process with significance 0.05 by testing the cooker to 50 customers. 6. A company produces mosquito killing bat whose average lifetime is 360. days and average variation 60 days. It is claimed that in a newly developed process the mean lifetime can be increased. Design a decision rule for 100 samples with 0.1 significance. If the new process has increased the mean lifetime to 375 days, assuming a sample of 120 bulbs with estimated lifetime 370 days, find a and ß. Again, a sample of 80 cables is tested and it is found that the average lifetime is 368 days. Find the p-value of the test.
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