distributed and has a standard deviation of 80 milliliters. The company wishes to test Hoμ = 500 versus H₁ < 500, using the results of n = 20 independent samples. Let X be the sample mean of these 20 samples. Find type I error probability if the rejection region is X < 450.

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A children’s goods company is formulating a new diapers filler and is interested

in the volume of absorbed liquid (in milliliters). The volume of absorbed liquid is approximately normally
distributed and has a standard deviation of 80 milliliters. The company wishes to test H₁ : µ = 500 versus
H₁ : µ < 500, using the results of n = 20 independent samples. Let X be the sample mean of these 20
samples.
Find type I error probability if the rejection region is X < 450.
Transcribed Image Text:in the volume of absorbed liquid (in milliliters). The volume of absorbed liquid is approximately normally distributed and has a standard deviation of 80 milliliters. The company wishes to test H₁ : µ = 500 versus H₁ : µ < 500, using the results of n = 20 independent samples. Let X be the sample mean of these 20 samples. Find type I error probability if the rejection region is X < 450.
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