## Calculate

This text snippet provides various statistical information and tables related to t-values and z-values for different confidence levels and degrees of freedom. It explains that when sample size is less than 30, a t-score should be used instead of a z-score. The tables show critical values for t-intervals and t-distributions at different confidence levels, and provide instructions on how to find the critical t-value for a given confidence level and sample size. The text also explains the concept of one-tail and two-tail probabilities and how they relate to t-values. Finally, it presents an example problem to demonstrate the use of t-values in a statistical test.

Having searched the appropriate t-score, the t-score for a 98% confidence level with 8 degrees of freedom is approximately 3.355.

Now, we can use this t-score to calculate the 98% confidence interval for the mean nicotine content of the new brand of cigarettes:

[ 24.3 \pm 3.355 \left( \frac{2.6}{\sqrt{9}} \right) ]

Calculating this expression yields the 98% confidence interval for the mean nicotine content. Let's solve it.

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