Chapter 4, Problem 4.21P

Interpretation Introduction

Interpretation:

Whether the standard deviation of the given hydrocarbons differ at the $95\%$ confidence level or at the $99\%$ confidence level has to be calculated.

Concept Introduction:

Comparing replicate measurements:

When the two standard deviations are not significantly different from each other, the equation used is:

$\begin{array}{l}t\text{ test for comparison of means: }\\ t=\frac{\left|\overline{x_1}-\overline{x_2}\right|}{\sqrt{(s_{\text{pooled}})}}\sqrt{\frac{n_1{n}_2}{n_1+n_2}}(\text{since }{s}_{\text{pooled}}=\sqrt{\frac{s_1^2(n_1-1)+s_2^2(n_2-1)}{n_1+n_2-2}})\end{array}$

To Calculate: Whether the standard deviation of the given hydrocarbons differ at the $95\%$ confidence level or at the $99\%$ confidence level