At a large automobile factory,four different machines are used to produce disc brakes.To make sure that the disc brakes are all being produced with comparable diameters,daily samples of 16 disc brakes are taken from the production lines of each of the four machines and their diameters measured.The deviation from the goal diameter of 322 micrometers is measured to the nearest micrometer.Assume that the distribution of these deviations is approximately Normal with a common standard deviation.Does it appear that disc brakes made on the four machines are made with equal mean diameters? SPSS output is included below. At the 5% significance level,do we reject the null hypothesis of equality of the four population means?
A)Yes
B)No
C)This cannot be determined from the information given.

Question

At a large automobile factory,four different machines are used to produce disc brakes.To make sure that the disc brakes are all being produced with comparable diameters,daily samples of 16 disc brakes are taken from the production lines of each of the four machines and their diameters measured.The deviation from the goal diameter of 322 micrometers is measured to the nearest micrometer.Assume that the distribution of these deviations is approximately Normal with a common standard deviation.Does it appear that disc brakes made on the four machines are made with equal mean diameters? SPSS output is included below.  At the 5% significance level,do we reject the null hypothesis of equality of the four population means?
A)Yes 
B)No 
C)This cannot be determined from the information given.

Quizplus · Accepted Answer

The ANOVA output shows that the p-value for the null hypothesis of equality of the four population means is 0.025 which is less than the significance level of 0.05. Therefore, we reject the null hypothesis and conclude that there is evidence to suggest that the disc brakes made on the four machines are not made with equal mean diameters.

At a Large Automobile Factory,four Different Machines Are Used to Produce