Canned apples produced with traditional process have an average vitamin C content of $19$mg per can. After improving the processing technology, $16$ new

cans are randomly selected and checked, and the vitamin C content data are as follows: $23,20\mathrm{.}5,21,22,20,22\mathrm{.}5,19,20,23,20\mathrm{.}5,18\mathrm{.}8,20,19\mathrm{.}5,22,18,23$

Suppose the vitamin C content in the canned apples is governed by the Normal distribution N $(19,4),$ and the vitamin C content in the new canned apples is also governed by the Normal distribution and its variance remains the sa

me$.$ Do the newcanned apples have higher vitamin C content than the old

ones $($alpha $=0\mathrm{.}05)?$ Give your answer to two decimal places.

Answer rating: 100% (QA)

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