nstructor-created question Question Help An industrial oven used to cure sand co

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nstructor-created question Question Help   
An industrial oven used to cure sand cores for a factory manufacturing engine blocks for small cars is able to maintain fairly constant temperatures. The temperature range of the oven follows a normal distribution, with a mean of 450°F and a standard deviation of 25°F. If the oven gets hotter than 475°F, the core is defective, and the ideal range (i.e., that which yields the best quality output) is between 460° and 470°F.

What proportion of the output is expected to be of the "best" quality?
nothing% (round to 1 decimal place)

urk Qually Malagément Exercises (B) 2 (3) 4 (5) 6 7 (8 (9 Instructor-created question 1 of 9 complete Exercise Score: O of 1 pt Assignment Score: 7.69% (1 of 13 pts) An industrial oven used to cure constant temperatures. The temperature r standard deviation of 25°F. If the oven gets hotter than 475°F, the core is defective, and the ideal range (ie, that w yields the best quality output) is between 4600 and 4700F sand cores for a factory manufacturing engine blocks for small cars is able to maintain fairly tures. The temperature range of the oven follows a normal distribution, with a mean of 450°F and a is defective, and the ideal range (ie, that which yields the best quality output)is between 4609 and 470°F What proportion of the output is expected to be of the best" quality? % (round to 1 decmal place) Enter your answer in the answer box, then click Check Answer Save

Explanation / Answer

The best quality is the ideal range of 460 to 470 which is within one standard deviation from the mean of 450 on the upper side. The 68-95-99.7 rule of normal distribution states that 68% of the values lie within one standard deviation from the mean both upper side (34%) and the lower side (34%). Hence the proportion of the output is expected to be of best quality is 34%.

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