..il T-Mobile 11:44 PM 61% ezto.mheducation.com connect. 2 1000 ponts Problem 6-

Question

..il T-Mobile 11:44 PM 61% ezto.mheducation.com connect. 2 1000 ponts Problem 6-3 Rachel loves to bake cookies, but she has an old oven that has trouble maintaining a constant temperature. Assume the acceptable temperature range for making the cookies is 350 plus or minus 5 degrees. Six Sigma quality (3.4 defects per million units produced) is probably a bit much to ask of Rachel's old oven a. What would the standard deviation in the temperature of her oven need to be if she settled for a Three Sigma" level of quality? (Round your answer to 2 decimal places.) b. If her oven exactly meets this quality level, what percentage of the time would her oven be operating at a temperature outside the acceptable range? Use Table 6-5. (Round your answer to 2 decimal places.) Problem 3 Leaming Oive06-06 Apply the Si Sigma e qualty

Explanation / Answer

(a)

Upper Specification Limit (USL) = 350+5 = 355 degrees
Lower Specification Limit (LSL) = 350 - 5 = 345 degrees

For a 3 quality level, the variation around mean should not be mote than 3.

Assuming that the process is centered at 350 degrees

(USL - LSL) / (2 x 3) 1
or, 10 / 6 1
or, 10/6
or, 1.67

So, for achieving a 3 process, the should be less than or equal to 1.67

(b)

% error-free products (or time) = NORMSDIST(Sigma Level – 1.5)

So, % error-free products (or time) = NORMSDIST(3.0 – 1.5) = NORMSDIST(1.5) = 93.319%

So, % of time the oven operates outside the specification = 100% - 93.319% = 6.68%

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