In: Statistics and Probability
At a local manufacturing plant, employees must complete new machine set ups within 40 minutes. New machine set-up times can be described by a normal model with a mean of 27 minutes and a standard deviation of 5 minutes. a. What percent of new machine set ups take more than 35 minutes? b. The typical worker needs ten minutes to adjust to their surroundings before beginning their duties. What percent of new machine set ups are completed within 30 minutes to allow for this?
As this follows a Normal Distribution, the formula of Z is mentioned above. We use this formula and calculate the required percentages. The p value are obtained from STATKEY (image attached for reference).