The data below give the weights in ounces of randomly-selected bars of bath soap

Question

The data below give the weights in ounces of randomly-selected bars of bath soap produced by two different molding machines.

The question of interest is whether these two molding machines produce soap bars of differing average weight. The computed test statistic was found to be -2.75. Draw your conclusion using a 5% level of significance. Assuming weights are normally distributed with 16 degrees of freedom.

Machine 1 produces soap bars lighter than those that machine 2 produces.

Machine 1 produces soap bars heavier than those that machine 2 produces.

The two molding machines produce soap bars of differing weight.

There is not enough evidence that the two molding machines produce soap bars of differing weight.

Find the approximate P-value for the this test assuming that the weights for the two machines are approximately normal with 16 degrees of freedom.

between 0.01 and 0.02

between 0.02 and 0.05

between 0.05 and 0.10

between 0.005 and 0.01

Weights (ounces) Machine 1 11.4      12.4      12.1      11.8      11.8      11.7      12.3      12.0      11.8 Machine 2 13.0      12.4      12.4      12.1      12.3      12.1      12.5      12.0      12.1

Explanation / Answer

1)for 5% level and (n-1=15) dgree of freedom ; crtiical t =-/+ 2.131

as tst statistic is in critical region ;option C is correct

The two molding machines produce soap bars of differing weight.

2)

between 0.01 and 0.02

c.

The two molding machines produce soap bars of differing weight.

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