Question

Asked Nov 6, 2019

Step 1

**Solution:**

**a.The 99% confidence interval for the difference between true average load for the fiberglass beams and that for the carbon beams are obtained below:**

From the given information, fiberglass grid sample size is 26, sample mean is 33.4 and sample standard deviation is 2.2. The commercial carbon grid sample size is 26, sample mean is 42.8 and sample standard deviation is 4.3.

The level of significance=1-0.99=0.01.

The degrees of freedom= n_{1}+n_{2}-2=26+26-2=50

The critical value is,

From the EXCEL, using the formula, =T.INV.2T(0.01,50), the critical value is 2.678.

The required confidence interval is,

Step 2

**Interpretation:**

There is 99% confident that the difference between true average load for the fiberglass beams and that for the carbon ...

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