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

question 34

Multiple Choice

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. Some summary measures for the four machines are given below. Suppose we are interested in the contrast that compares the average of machines 1,3,and 4 (the most recently purchased machines) to machine 2 (a slightly older model) .

SPSS output for multiple comparisons is given below,using the Bonferroni method with  = 0.05. What is the correct conclusion based on these comparisons?

Definitions:

Leaching

The process by which soluble materials are washed out from soil or wastes, often leading to contamination of waterways.

Nitrate Ions

An anionic form of nitrogen (NO3-) found in soil and water, often resulting from agricultural runoff, and crucial to the nitrogen cycle.

Phosphorus Reservoirs

Natural or artificial storage places for phosphorus, an essential nutrient for plants and animals.

Nitrogen Fixation

Nitrogen fixation is a process by which nitrogen gas from the atmosphere is converted into ammonia or related nitrogenous compounds in soil, making nitrogen accessible to living organisms.