Quiz: Week 7 Quiz Time Remaining: 01:55.40 Submit Quiz This Question: 4 pts 1 01

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Quiz: Week 7 Quiz Time Remaining: 01:55.40 Submit Quiz This Question: 4 pts 1 0119 (0 complete) This Quiz: 60 pts possible A machine used to fill gallon-sized paint cans is regulated so that the amount of paint dispensed has a mean of 135 ounces and a standard deviation of 0.40 ounce You randomly select 35 cans and carefully measure the contents The sample mean of the cans is 134.9 ounces. Does the machine need to be reset? Explain your reasoning I, it is | that you would have randomly sampled 35 cans with a mean equal to 134 9 ounces, because it within the range of a usual event, namely within I of the mean of the very unlikely likely 1 standard deviation 2 standard deviations 3 standard deviations Yes lies No does not lie

Explanation / Answer

No need ti reset machine.

No. It is likely that you would have randomly sampled 35 cans with a mean equal to 134.9 onces becase it lies within the range of usual event namely within 2 standard deviations of the mean.

mean = 135

standard deviation = 0.40

Minimum usual value = - 2 = 135 - (2*0.40) = 134.2

Maximum usual value =+2 = 135 + (2*0.40) = 135.8

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