The unique colors of the cashmere sweaters your firm makes result from heating u
ID: 3206255 • Letter: T
Question
The unique colors of the cashmere sweaters your firm makes result from heating undyed yarn in a kettle with a dye liquor. The pH (acidity) of the liquor is critical for regulating dye uptake and hence the final color. There are 5 kettles, all of which receive dye liquor from a common source. Past data show that pH varies according to a Normal distribution with = 4.16 and = 0.122. You use statistical process control to check the stability of the process. Twice each day, the pH of the liquor in each kettle is measured, giving a sample of size 5. The mean pH x is compared with "control limits" given by the 99.7 part of the 689599.7 rule for normal distributions, namely
x ± 3x.
What are the numerical values of these control limits for x? (Round your answers to three decimal places.)
=(larger value)
=(larger value)
Explanation / Answer
control limits for x=x ± 3x. =4.16 ± 3*0.122
=(3.794,4.526)
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