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TV would like to test the hypothesis that the average length of an online video watched...

TV would like to test the hypothesis that the average length of an online video watched by a user is more than 8 minutes. A random sample of 37 people watched online videos that averaged 8.7 minutes in length. It is believed that the population standard deviation for the length of online videos is 2.5 minutes. TV would like to set α =  0.02. The correct hypothesis statement for this hypothesis test would be _________________________.

H0: = 8.0; H1: > 8.0

H0: μ = 8.0; H1: μ > 8.0

H0: μ = 8.0; H1: μ ≠ 8.0

H0: μ = 8.0; H1: μ < 8.0

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Answer #1

Let \mu denote the population mean length of online videos. We need to test if the length is more than 8 minutes.

Hence the appropriate hypothesis are given by:

H​​​​​​0: \mu =8.0 ; H​​​​​​1: \mu >8.0

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