Ononot — Consider testing H0: \mu = \mu0 against Ha: \mu > \mu0 using

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Inferential Statisticshard

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Consider testing $H_0: \mu = \mu_0$ against $H_a: \mu > \mu_0$ using a sample mean $\bar{X}_n$ from a population with known variance $\sigma^2$ . If the power of the test at a specific alternative $\mu_a$ is $0.80$ with a sample size $n_1$ , what is the effect on the power if the sample size is increased to $n_2 > n_1$ while keeping $\alpha$ constant?