Time Remaining: 01.03.52 Submit Qu 12 of 19 (5 complete) This Quiz: 60 pts possi

Question

Time Remaining: 01.03.52 Submit Qu 12 of 19 (5 complete) This Quiz: 60 pts possible A machine used to fill galion-sized paint cans is regulated so that the amount of paiet dspensed has a mean of 137 ounces and a standard deviation of 0 20 ounce You randomily select 40 cans and caretuly measure the contents The sample mean of the cans is 136 9 cunces Does the machine need to be reset? Explain your reasoning it is | that you would have randomly sampled 40 cans with a mean equal to 136 9 ounces, because it wthin the range of a usual event, namely within sample means cx to select your answes TOSHIBA

Explanation / Answer

here std error of mean =std deviation/(n)1/2 =0.2/(40)1/2 =0.0316

therefore test statistic z =(X-mean)/std deviation =(136.9-137)/0.0316=-3.16

therefore Answer is:

Yes ; it is unusual that ...................because it not within the range............namely within 2 std deviation of the mean of the sample means

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