a) A company bought a new machine that pack jars into a carton because supposedly it packs faster, on average, than the machine currently used. To test that hypothesis, they had each machine pack 10 cartons and recorded how long it took (in seconds) to pack each carton. A summary of the results are shown in the table below. Assume the packing times are normally distributed and the population standard deviations are approximately equal Old New Machine Machine Sample mean (in 43 42.4 seconds) Sample standard 0.90 0.70 deviation Does the data provide enough evidence to conclude that the new machine packs faster, on average? Test the hypothesis at the 5% level of significance. Note: the above information is applicable to all questions below. Select the correct null and alternative hypotheses. O a . Ho: Mnew - Mold = 0 HA : Mnew - Hold > 0 O b . Hold = 0 HA:Md 0 O e . Ho:Mnew - Mold = 0 HA: Mnew - Hold