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For the given null (?0) and alternative (?1) hypotheses, compute the maximum value of ? that...

For the given null (?0) and alternative (?1) hypotheses, compute the maximum value of ? that leads to a rejection of the null for a one-sample left-tailed ?‑test for a mean with a significance level of ?=0.05.

?0:? = 20

?1:?<20

Use software to find the value of ?z to at least three decimal places. You may find one of these software manuals useful.

?=z=

math   Statistics-And-Probability   
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Answer #1

Here the alternative hypothesis is left tailed. The test for this test will be rejected if calculated value of Z is >-1.6449. and hence the maximum value of ? that leads to a rejection of the null for a one-sample left-tailed ?‑test for a mean with a significance level of ?=0.05.=-1.6449 (we can use the software EXCEL to get this value NORM.S.INV(.05)).

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