Question: 3.10.4. Consider that I am collecting (normally distributed) data with a variance of 4 and I want to test a null hypothesis of H0 :

3.10.4. Consider that I am collecting (normally distributed) data with a variance of 4 and I want to test a null hypothesis of H0 : μ = 10. What sample size should I take according to Cox’s rule if I want a reasonable chance of rejecting H0 when μ = 13? What if I want a reasonable chance of rejecting H0 when μ = 12? What sample size should I take if I want a 95% confidence interval that is no more than 2 units long?What if I want a 99% confidence interval that is no more than 2 units long?

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