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A random sample of 50 students is selected and it is found that the mean of...

A random sample of 50 students is selected and it is found that the mean of daily internet usage is 70.8 minutes with standard deviation of 13.8 minutes. A hypothesis test was performed to determine whether the true mean usage, µ equal to 72.0 minutes or not. What is the p-value of the test?

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Answer #1

H0: \mu = 72

Ha: \mu \neq 72

Test statistics

t = ( \bar{x} - \mu ) / ( S / sqrt(n) )

= ( 70.8 - 72) / (13.8 / sqrt(50) )

= -0.61

From T table.

With test statistics of 0.61 and df of 49,

two tailed p-value = 0.5447

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