The Diameter of 3 $\alpha$ = 005, the Appropriate Decision Is ___

Multiple Choice

The diameter of 3.5 centimetre discs is normally distributed.Periodically, quality control inspectors at Winnipeg Discs randomly select a sample of 16 discs.If the mean diameter of the discs is too large or too small the disc punch is shut down for adjustment; otherwise, the punching process continues.The last sample showed a mean and standard deviation of 3.55 and 0.08 centimetres, respectively.Using $\alpha$ = 0.05, the appropriate decision is ___.

A) reject the null hypothesis and shut down the punch
B) reject the null hypothesis and do not shut down the punch
C) do not reject the null hypothesis and shut down the punch
D) do not reject the null hypothesis and do not shut down the punch
E) do nothing