avg manufacturing time


problem one:

product one being manufactured in a production line according to standard distribution with an average of 29 minutes of manufacturing time with 3 minutes standard deviation. the middle of 75% of all manufacturing times is considered as "average manufacturing time". the production engineer is interested to estimate the number of product one unites produced in the average manufacturing time. 

 
avg_manu_time = 29 #mins
std_dev = 2.89 #standard deviation 

right_tail = qnorm((1-.75)/2, mean = 0, sd = 1)
left_tail = qnorm(1 - ((1-.75)/2), mean = 0, sd = 1)

avg_range = avg_manu_time * c(left_tail, right_tail) + std_dev
avg_range


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