At a High school, 70% of the seniors have taken an advance calculus course. Of those who have taken Advanced Calculus, 60% will apply for a Pre-Health

The following definition is discussed in advanced mathematics courses. $f(x)=\{\begin{array}{lll}0& \text{if xx is a rational number}1& \text{if xx is an irrational number}\end{array}$
Evaluate $f(-34)$, $-\sqrt{2}$, and ${\displaystyle f\left(\pi \right)}$.

Use the table to determine the total of the servicecharge. Service charges for Gary Baxter's account were the basic charge, 8 bills paid, 1 overdraft, $450 cash advance, and 3 regional ATM transactions.
$\begin{array}{|lc|}\hline \text{ Online Banking Service }& \text{ Service Charge }\\ \text{ Basic Monthly Charge }& \$6.95\\ \text{ Bill Payment-first 5 N/C }& 0.50\\ \text{ Printed Statement }& 4.00\\ \text{ Replace Lost Card }& 5.00\\ \text{ Overdraft }& 25.00\\ \text{ International Wire Transfer }& 20.00\\ \text{ ATM Transaction Charges }\\ \text{ Local Network }& \text{ N/C }\\ \text{ Regional Network }& 1.00\\ \text{ National Network }& 2.00\\ \text{ Out-of-Network }& 3.00\\ \text{ Cash Advance }-2.00\mathrm{\%}\text{ of }\text{ Amt }& \$10.00\mathrm{Max}\\ \hline\end{array}$

Although tea is the world’s most widely consumed beverage after water, little is known about its nutritional value. Folacin is the only B vitamin present in any significant amount in tea, and recent advances in assay methods have made accurate determination of folacin content feasible. Consider the accompanying data on folacin content for randomly selected specimens of the four leading brands of green tea.

\(\begin{array} \\ \text{Brand}& \text{Observations}\\ \hline 1&7.9&6.2&6.6&8.6&8.9&10.1&9.6\\ 2&5.7&7.5&9.8&6.1&8.4\\ 3&6.8&7.5&5.0&7.4&5.3&6.1\\ 4&6.4&7.1&7.9&4.5&5.0&4.0 \\ \hline \end{array}\)
(Data is based on “Folacin Content of Tea,” J. Amer. Dietetic Assoc., 1983: 627–632.) Does this data suggest that true average folacin content is the same for all brands? a. Carry out a test using α=.05α=.05 via the P-value method. b. Assess the plausibility of any assumptions required for your analysis in part (a). c. Perform a multiple comparisons analysis to identify significant differences among brands.