An economist is studying the rise and fall of the stock market. He finds that the average stock price is $63, with a standard deviation of $19. Suppose he wants to identify stocks that are priced in the bottom 35% of all stocks. If he only looks at 100 stocks, what is the highest stock price that he will include in his study? 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 -0.7 0.242 0.239 0.236 0.233 0.230 0.227 0.224 0.221 0.218 0.215 -0.6 0.274 0.271 0.268 0.264 0.261 0.258 0.255 0.251 0.248 0.245 -0.5 0.309 0.305 0.302 0.298 0.295 0.291 0.288 0.284 0.281 0.278 -0.4 0.345 0.341 0.337 0.334 0.330 0.326 0.323 0.319 0.316 0.312 -0.3 0.382 0.378 0.374 0.371 0.367 0.363 0.359 0.356 0.352 0.348 -0.2 0.421 0.417 0.413 0.409 0.405 0.401 0.397 0.394 0.390 0.386 -0.1 0.460 0.456 0.452 0.448 0.444 0.440 0.436 0.433 0.429 0.425 Round the z-score, x and x to two decimal places. Provide your answer below: $z$ -score : $\sigma_{\overline{x}}=\$$ $\overline{x}=\$$