Consider a situation where a response equal to or greater than 12.5 was undesirable. The collection of data was very expensive and time consuming; however, a team was able to collect the following set of random measurements: 9.46, 10.61, 8.07, 12.21, 9.02, 8.99, 10.03, 11.73, 10.99, 10.56.
(a) Conduct an attribute assessment.
(b) Make a visual assessment of data normality using a histogram. From the plot, estimate the mean and percentage of time 12.5 or larger.
(c) Make a visual assessment of data normality using a normal probability plot. From this plot, estimate the median and percentage of time 12.5 or larger. Estimate the response level where 10% is below. Estimate the response level that 10% of the population does not exceed. Estimate the range of response exhibited by 80% (i.e., 40% from the median) of the population.
(d) Use the Z table to refine these estimates.