The Food and Drug Administration (FDA) is asked to approve a new drug. The new drug...

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The Food and Drug Administration (FDA) is asked to approve a newdrug. The new drug should contain less than 25mg of the activeingredient â€œtoxinâ€, which is assumed to have dangerous sideeffects. The FDA would like to restrict the error of â€œapproving thedrug despite its too high content of toxinâ€ to a maximum risk of 5%(Î± â‰¤ 0.05). Let Xi : â€œ The content of toxin in the i-th pill [inmg].â€ âˆ¼ N(Âµ, Ïƒ2 ) âˆ¼ N(Âµ, 4). A simple random sample of n = 50 pills( Xi âˆ¼ i.i.d.) will be used for the test.
7. Given a significance level of Î± = 5% what is the highestprobability of making a type II error?
8. In the sample, xÂ¯ = 24.6. Compute the p-value. What do youconclude? [Write down the probability that you computed.]
9. Has a type I error occurred? Explain your answer.
10. Has a type II error occurred? Explain your answer.

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7 Given is the probability of type 1 error that is error of rejecting atrue null hypothesisType 2 error is the error of accepting a false nullhypothesisThe highest probability See Answer

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