Question $2(40\%)$

Figure Q$2$: A sheet metal produced by a rolling mill

Figure Q$2$ illustrates the production record of sheet metal produced by a rolling mill. The sheet has a nominal thickness of $1$ mm $,$ with a specification of $1\mathrm{.}00+-0\mathrm{.}05mm.$ A quality inspector measures a sample of five sheets at the end of each day. The record of the past $10$ batches of samples collected is presented in Table $1.$

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