Q2) Researchers at a paint manufacturer are trying to develop a new type of gloss paint with a shorter drying time than the current product. In order to test whether the drying time has been reduced, the researchers paint a square metre of each of the new and old paints on each of 10 different surfaces. The time, in hours, that each square metre takes to dry is recorded in the table below: Surface 1 2 3 4 5 6 7 8 9 10 Old paint 17.1 17.3 16.9 17.4 17.5 17.3 16.6 17.5 18.0 17.6 New paint 16.6 17.2 17.0 17.1 17.6 16.5 16.9 17.3 17.3 16.9 (a) Test, at the 0.05 level of significance, whether there is any reduction in the mean drying time. (b) State the assumption required to carry out the test in (a). (c) Find the p-value of the test in (a). (?? Marks)

Q2) Researchers at a paint manufacturer are trying to develop a new type of gloss paint with a shorter drying time than the current product. In order to test whether the drying time has been reduced, the researchers paint a square metre of each of the new and old paints on each of 10 different surfaces. The time, in hours, that each square metre takes to dry is recorded in the table below: Surface 1 2 3 4 5 6 7 8 9 10 Old paint 17.1 17.3 16.9 17.4 17.5 17.3 16.6 17.5 18.0 17.6 New paint 16.6 17.2 17.0 17.1 17.6 16.5 16.9 17.3 17.3 16.9 (a) Test, at the 0.05 level of significance, whether there is any reduction in the mean drying time. (b) State the assumption required to carry out the test in (a). (c) Find the p-value of the test in (a). (?? Marks)

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter59: Areas Of Rectangles, Parallelograms, And Trapezoids

Section: Chapter Questions

Problem 79A

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