On average, a library patron reads 42 books each year, with a standard deviation of 12 books. The library would like to reward its top 25% of patrons, as judged by the number of books read each year. How many books must a library patron read to be eligible for the reward if the library is only examining 100 patrons? Use the z-table below:

z	0.00	0.01	0.02	0.03	0.04	0.05	0.06	0.07	0.08	0.09
0.3	0.618	0.622	0.626	0.629	0.633	0.637	0.641	0.644	0.648	0.652
0.4	0.655	0.659	0.663	0.666	0.670	0.674	0.677	0.681	0.684	0.688
0.5	0.691	0.695	0.698	0.702	0.705	0.709	0.712	0.716	0.719	0.722
0.6	0.726	0.729	0.732	0.736	0.739	0.742	0.745	0.749	0.752	0.755
0.7	0.758	0.761	0.764	0.767	0.770	0.773	0.776	0.779	0.782	0.785
0.8	0.788	0.791	0.794	0.797	0.800	0.802	0.805	0.808	0.811	0.813
0.9	0.816	0.819	0.821	0.824	0.826	0.829	0.831	0.834	0.836	0.839

Round the z-score andx to two decimal places.Round x up to the nearest whole number.

Provide your answer below:

$z$z -score =

$\sigma_{\overline{x}}$x = books

$\overline{x}$x = books