Question

Please show all work.

A researcher wishes to compare times it takes workers to assemble a certain computer component using different machines. Workers are randomly selected and randomly assigned to one of three different machines. The time (in minutes) it takes each worker to assemble the component is recorded, and the data is shown in the table: Use this data, and a significance level of α = 0.01 to test the claim that there is no difference in the mean assembly times for the three machines.
Machine 1: 32, 32, 30, 31, 33, 31

Machine 2: 40, 29, 38, 33, 36, 32, 35

Machine 3: 28, 25, 29, 31
  

Answer 1

solution:

claim:

There is no difference in the mean assembly times for the 3 macines

Test hypothesis:

H0: Null Hypothesis: (There is no difference in the mean assembly times for the 3 machines) (Claim)

HA: Alternative Hypothesis: (There is a difference in the mean assembly times for the 3 machines)

p value <0.01 reject H0 .there is sufficient evidence to claim the dats