Control charting your reaction times. Consider the following personal data-generating experiment. Obtain a stopwatch, a capability that many electronic watches offer. Alternatively, you can use one of many Web-based stopwatches easily found with a Google search (make sure to use a site that reports to at least 0.01 seconds). Attempt to start and stop your stopwatch as close as possible to 5 seconds. Record the result to as many decimal places as your stopwatch shows. Repeat the experiment 50 times. Input your results into a statistical software package.

(a) Construct a histogram of your measurements. How compatible is the histogram with the Normal distribution?

(b) Determine the mean and standard deviation estimates (μˆ and

ˆ σ) that will be used in the construction of an I chart.

(c) Compute the UCL and LCL of the I chart.

(d) Construct the I chart for your data series. Discuss the stability of your process. Are you in control? Were there any outof-

control signals? If so, provide an explanation for the unusual observation(s).