A random sample 0.38,-0.49,0.03,0.21,0.12,0.14,-0.18,-0.34,0.46, -0.01 was selected from a Laplace distributionwith density f(z, b) = exp{ -212 – pi}.

A random sample 0.38,-0.49,0.03,0.21,0.12,0.14,-0.18,-0.34,0.46, -0.01 was selected from a Laplace distributionwith density f(z, b) = exp{ -212 – pi}. Use Monte Carlo simulations to estimate the p-value for testing hypothesis Ho : p = 0 against the alternative H1 : p > 0.

Arandom sample 1.138,1.103,3.007,1.307,1.885,1.153was obtainedfrom a distribution with density  and 0 otherwise. Find the

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A random sample 0.38,-0.49,0.03,0.21,0.12,0.14,-0.18,-0.34,0.46, -0.01 was selected from a Laplace distributionwith density f(z, b) = exp{ -212 – pi}.
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MLE of 6, and use it to test Ho : 6 = 1 against HI : 6 > 1. Find the p-value and compare it with the p-value based on 2000 Monte Carlo generations.

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