Question

Rachel loves to bake cookies, but she has an old oven that has trouble maintaining a constant temperature. If the acceptable temperature range for making the cookies is 350 plus or minus 18 degrees, what is the allowable standard deviation in the temperature of her oven in order to achieve a Six Sigma level of quality? (Round your answer to 3 decimal places.) Standard deviation

Answer 1

Answer :

Given data :-

the acceptable temperature range of making the cookies = 350

mean = 350

standard deviation = 18

$\sigma$ = 18

now we need to fin out the allowable standard deviation

for rechel in order to sigma level of quality is

we know that

six sigma level of quality

= 6*standard deviation

= 6*$\sigma$

= 6*7

= 42 degrees

$\therefore$ the six sigma level of quality = 42 degrees