Using the 1 percent significance level, is the process on control or necessary adjustments are required? (Use the five steps of hypothesis testing to test this hypothesis) b) Hence, construct a 95 percent confidence interval for the mean. (Critical t, or t- table = 3.106)

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In a production process the specified mean production rate 300. A random sample of 12 observations, were picked and the mean was found to be 307 and with a sample standard deviation 6. 

a) Using the 1 percent significance level, is the process on control or necessary adjustments are required? (Use the five steps of hypothesis testing to test this hypothesis) 

b) Hence, construct a 95 percent confidence interval for the mean. (Critical t, or t- table = 3.106)

Formula 

?=?(1−?)(??)2. 

?=?̅−??√?⁄. 

?=?−?√?(1−?)?. 

Z for 95% level of confidence is 1.96 

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