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Applied Mathematics · 2022 · 3 marks

CBSE 2022 · Central · Set 4 · Q9

Ten cartons are taken at random from an automatic packing machine. The mean net weight of the ten cartons is 11.8 kg and standard deviation is 0.15…

Ten cartons are taken at random from an automatic packing machine. The mean net weight of the ten cartons is $\displaystyle 11.8$ kg and standard deviation is $\displaystyle 0.15$ kg. Does the sample mean differ significantly from the intended mean of $\displaystyle 12$ kg? [Given that for d.f. $\displaystyle =9, \mathrm{t}_{0.05}=2.26$]

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