A research team compared two methods of measuring tread wear on tires. Eleven ti

Question

A research team compared two methods of measuring tread wear on tires. Eleven tires were each measured for tread wear (in thousands of miles) by two different methods: one method was based on weight while the second method was based on groove wear. For convenience, each tire was measured first by the complicated weight method and then second by the tedious groove wear method. What is the (experimental/individual) unit? What is the response variable? How many measurement(s) are made on each (experimental/individual) unit? So these two samples are? independent dependent (paired) Which picture is appropriate for this data? Picture A Picture B This study is: randomized experiment observational What is the explanatory (grouping) variable? Using your previous answers as your basis: could the "carryover effect" be a possible problem with this study? Provide reasoning. Is blocking (pairing) used in this problem? If so, identify the unwanted variation could be reduced by using blocking. The variation What variation are we trying to explain? The variation between the Can "cause and effect" conclusions be made in this study?

Explanation / Answer

1) IN THIS EXPERMENTS THE EXPERIMENT IS BEING CARRIED ON TIRES THEREFORE THE EXPERIMENT UNIT = TIRES

2) RESPONSE VARIABLE WILL BE THE DIFFERENT TREAD WEAR ON DIFFERENT TIRES

3) THERE ARE TOTAL 11 UNITS AND FOR EACH UNIT THERE ARE 2 OBSERVATION TAKEN ONE BY METHOD A AND ONE BY METHOD B

4) THE SAMPLE WILL BE INDEPENDENT OF THE OTHER UNIT AND ALSO BOTH THE METHODS ARE INDEPENDENT OF EACH OTHER AS THERE IS NO INFLUENCE OF ONE EVENT ON THE OTHER.

6) THIS STUDY IS RANDOMIZED VECAUSE RANDOM WE HAVE CHOOSEN 11 TIRES.

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