An aspirin manufacturer fills bottles by weight rather than by count. The weight

Question

An aspirin manufacturer fills bottles by weight rather than by count. The weight per tablet should be 5 grains. Each of 100 tablets taken from a very large lot is weighted resulting in a sample average weight per tablet of xbar= 4.63 grains and a sample standard deviation of s = 0.18 grain.

An aspirin manufacturer fills bottles by weight rather than by count. The weight per tablet should be 5 grains. Each of 100 tablets taken from a very large lot is weighted resulting in a sample average weight per tablet of xbar= 4.63 grains and a sample standard deviation of s = 0.18 grain when testing the hypotheses H0: = 5 against the alternative hypothesis HA:5, a type-II-error would be there is no error as long as the pvalue is less than ca concluding that the tablets weigh 5 grains, when in fact they do not concluding that the tablets do not weigh 5 grains, when in fact they do concluding that the tablets weigh 4.63 grains, when in fact they weigh 5 grains Submit Answer Tries 0/1 when testing the hypotheses H0: = 5 against the alternative hypothesis HA:5, a type-1-error would be concluding that the tablets do not weigh 5 grains, when in fact they do there is no error as long as the pvalue is less than ca concluding that the tablets weigh 4.63 grains, when in fact they weigh 5 grains concluding that the tablets weigh 5 grains, when in fact they do not Submit Answer Tries 0/1

Explanation / Answer

Type II error corresponds to fail to reject a false null hypothesis.

Ans: Concluding that the tablets weigh 5 grains, when in fact they do not.

Type I error refer to rejecting a tru enull hypothesis.

Ans: Concluding that the tablets do not weigh 5 grains, when in fact they do.

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