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A new process for producing a type of novolac resin is supposed to have a mean cyclic time of 3.5 hours per batch. Six batches are produced, and their cyclic times, in hours, were 3.45 3.47 3.57 3.52 3.40 3.63 Can you conclude that the mean cyclic time is greater than 3.5 hours

Answer :

Given :

Six cyclic times :

3.45 3.47 3.57 3.52 3.40 3.63

To Find :

Can you conclude that the mean cyclic time is greater than 3.5 hours.

Solution :

We know, mean of n numbers are given by :

[tex]Mean = \dfrac{\text{Sum of all the elements}}{\text{Total numbers of element}}\\\\Mean = \dfrac{3.45+3.47+3.57+3.52+3.40+3.63}{6}\\\\Mean = 3.51[/tex]

Therefore, the mean cyclic time is greater than 3.5 hours.

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