#GPT-4 Conversation #1098282568874467398
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whats the answer to this
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here is the question
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can you take images as input
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Let X₁,..., Xn
be a random sample from a N(u,0²) population where σ² = σ is known. A test
for H₁:μ= μ₁ vs. K₁ : µ = µ, where μ > μ is
(A) Reject H, if |√n (-µ0)| ≥ Zα/2
(B) Reject H₁ if √n (-μ) ≤-Za
(C) Reject H, if √n (*-Ho) ≥ Za
(D) Reject H₁ if(-) zσου z Za/2
what will be the answer to this question ...
The given question seems to have some typographical errors or missing information, but I can still help you understand the general concept. Let's restate the question properly:
Let X₁,..., Xn be a random sample from a N(μ, σ²) population where σ² (variance) is known. You want to perform a hypothesis test for H₀: μ = μ₀ vs. H₁ : μ > μ₀, where μ₀ is a specified value.
The correct decision rule should be:
(D) Reject H₀ if (x̄ - μ₀) / (σ / √n) ≥ zα, where x̄ is the sample mean, σ is the known standard deviation, n is the sample size, and zα represents the critical value from the standard normal distribution corresponding to the desired significance level α.
Here, we are using a one-tailed test because we are specifically testing if the population mean is greater than the specified value (μ > μ₀).
what is the input size you can take
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