Downloaded from https://www.everyspec.com AMCP 706198 Example No. 3 In a particular test, 4 events were observed. Assume that the process is Poisson. Estimate the true mean and investigate some 8-confidence statements for the true mean. Procedure xmle L State the test result. 1. k = 4 Find a good point estimate of p. k= k 4. 2. Investigate the a-confidence state- 2. Choose C 90%; so C' - 95% and mental use Eq . Choose the 1 - C' - 5%. The choice it largely a s-confidence level. Calculate the personal matter. degrees -of-freedom for the ohl- sur the Since k - 4, we have 2k a 8 and square tables. 2k + 2 = 10. 3. Pick the appropriate x3, values 3. From Table 2-7, we have from a table.
Xl%,S = 2.733 for Eq, 2-25e 3.940 for Eq. 2-25f 15.51 for Eq. 2-25n5o X15%,t0 18.31 for Eq. 2-25d. 4. The I and pu are calculated 4. p =1.37, ;* -1.97 from the appropriate xj,. in stepu 7. # ".76, ff 9. 16. step 3. 5. Make the two s-confidence state- 5. Cont{1.37 : I -S 9. 16} t 90% ments (from Eqs. 2-25a and Cord {1.97 S p 5' 7.761 % 90%. 2-25b). It is readily seen that the true mean is not known very well. .i. V..,..