Question: Complete Table 11.7. Are there any substantial changes to the original 95% credible interval (0.289, 0.516) when the beta(20, 40) and beta(25, 50) prior distributions

Complete Table 11.7. Are there any substantial changes to the original 95% credible interval (0.289, 0.516) when the beta(20, 40) and beta(25, 50) prior distributions are used? What does this suggest about the amount of data collected?
Table 11.7

Properties of the Prior Distributiorn Posterior Posterior Mean Variance 95% Credible Interval 5 10 0.0139 0.20 0.50 10 | 20 |0.0072| 0.23 | 0.45 0.4000 0.3882 0.0034 0.289 0.5163 0.0028 0.2880 04934 15 30 0.0048 0.25 0.42 0.38000.0023 0.2878 0.4767 20 40 25 50 0.26 0.41 0.26 0.40

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