Suppose you are planning to collect a set of data in an experiment where the null hypothesis states that the population mean will be 15. You plan to collect 30 observations, and you expect the population standard deviation to be 6.5. Use the Statistical Applet: P-value of a Test of Significance to caleulate the P-value for your final test of significance, considering the possibilities that your sample mean comes out to 12, 13, or 14, and considering the two possible alternative hypotheses u < 15 and a 15. Find the missing P-values in the table. The P-value for one cell in the table, where the sample mean is 12 and H, is u < 15, is filled in for you. Report your answers to four decimal places. P- value if H: < 15 P- value If Ha: u 15 12 0.0057 13 B. 14 D E