Find the critical value for H 0 : 𝜇=20 , H a : 𝜇<20,𝛼=0.10
Question
Find the critical value for H 0 : 𝜇=20 , H a : 𝜇<20,𝛼=0.10
Solution
To find the critical value for this one-tailed test, we need to follow these steps:
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Identify the significance level, which is given as 𝛼=0.10.
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Since this is a left-tailed test (because Ha: 𝜇<20), we will be looking for the critical value in the left tail of the standard normal distribution.
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Look up the critical value corresponding to 𝛼 in the standard normal distribution table or use a calculator with a normal distribution function.
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The critical value that corresponds to 𝛼=0.10 in the left tail of the standard normal distribution is approximately -1.28.
So, the critical value for this hypothesis test is -1.28.
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