PT United Tractor Tbkis the largest distributor of heavy equipment in Indonesia. Their daily production follows a normal probability distribution with a population mean of 200 and a population standard deviation of 16. Recently, because the price of minerals product is getting higher due to Russia and Ukraine conflict, the demand for heavy equipment has also increased. Therefore, Edhie Sarwono, the CEO, decided to implement a new production method. He would like to investigate whether there has been an increase in the weekly production. Suppose, as production manager, you are assigned to do this task. From a random sample of 30 production days, the mean is found to be 205.3. In order to provide information for the CEO, you need to do several tasks below. a. Develop hypotheses to test whether there is an increase in production rate. b. Calculate the test statistics. c. Find the p-value and critical value from the table at 95% confidence level. d. Test the hypothesis using p-value approach and critical value approach. e. What conclusion can you give to the CEO?
PT United Tractor Tbkis the largest distributor of heavy equipment in Indonesia. Their daily production follows a normal probability distribution with a population mean of 200 and a population standard deviation of 16. Recently, because the price of minerals product is getting higher due to Russia and Ukraine conflict, the demand for heavy equipment has also increased. Therefore, Edhie Sarwono, the CEO, decided to implement a new production method. He would like to investigate whether there has been an increase in the weekly production. Suppose, as production manager, you are assigned to do this task. From a random sample of 30 production days, the mean is found to be 205.3. In order to provide information for the CEO, you need to do several tasks below. a. Develop hypotheses to test whether there is an increase in production rate. b. Calculate the test statistics. c. Find the p-value and critical value from the table at 95% confidence level. d. Test the hypothesis using p-value approach and critical value approach. e. What conclusion can you give to the CEO?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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
Transcribed Image Text:PT United Tractor Tbk is the largest distributor of heavy equipment in Indonesia. Their daily production
follows a normal probability distribution with a population mean of 200 and a population standard
deviation of 16. Recently, because the price of minerals product is getting higher due to Russia and
Ukraine conflict, the demand for heavy equipment has also increased. Therefore, Edhie Sarwono, the
CEO, decided to implement a new production method. He would like to investigate whether there has
been an increase in the weekly production. Suppose, as production manager, you are assigned to do
this task. From a random sample of 30 production days, the mean is found to be 205.3. In order to
provide information for the CEO, you need to do several tasks below.
a. Develop hypotheses to test whether there is an increase in production rate.
b. Calculate the test statistics.
c. Find the p-value and critical value from the table at 95% confidence level.
d. Test the hypothesis using p-value approach and critical value approach.
e. What conclusion can you give to the CEO?
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