# Question

State a theorem analogous to Theorem 11.1, which enables us to appraise the maximum error in using 1 – 2 as an estimate of µ1 – µ2 under the conditions of Theorem 11.4.

## Answer to relevant Questions

Show that S2p is an unbiased estimator of σ2 and find its variance under the conditions of Theorem 11.5. With reference to Exercise 12.12, if n = 100, θ0 = 0.40, θ1 = 0.30, and a is as large as possible with-out exceeding 0.05, use the normal approximation to the binomial distribution to find the probability of committing a ...Decide in each case whether the hypothesis is simple or composite: (a) The hypothesis that a random variable has a Poisson distribution with λ = 1.25; (b) The hypothesis that a random variable has a Poisson distribution ...When we test a simple null hypothesis against a composite alternative, a critical region is said to be unbiased if the corresponding power function takes on its minimum value at the value of the parameter assumed under the ...Rework Example 12.3 with (a) β = 0.03; (b) β = 0.01. 12.38. Example 12.3 With reference to Example 12.2, determine the minimum sample size needed to test the null hypothesis µ0 = 10 against the alternative hypothesis ...Post your question

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