Question

Ten oil tins are taken at random from an automatic filling machine. The mean weight of the tins is 15.8 kg and standard deviation is 0.50 kg. Does the sample mean differ significantly from the intended weight of 16 kg

Answer 1

Giventhat10(n)oil tins are taken at randomfrom an automatic fillingmachine. The mean weight of the tins is15.8kg (x-bar)and the standard deviation is 0.50(s)kg.

Null Hypothesis:The sample mean does not differ significantlyfrom the intended weight of 16kg

AlternativeHypothesis: The samplemean differsignificantly from the intended weight of 16kg

The test statistic is given by

=

=-1.26

The critical value of 't'at 0.05level of significance is given by 2.262

Since the calculated value of 't'is less than the critical value of 't' so we accept the nullhypothesis and conclude the sample mean doesnot differ significantly from the intended weight of 16kg

Hope this will help you

answered by: Andrew's mom