A \"sleep habits\" survey answered by 26 randomly selected New Yorkers contained

Question

A "sleep habits" survey answered by 26 randomly selected New Yorkers contained the question "How much sleep do you get per night?" The sample average was 7.79 hours, with a corresponding sample standard deviation of 0.8 hours. Conduct a hypothesis test to see if there is evidence that New Yorkers (who live, after all, in "the city that never sleeps") on average get less than 8 hours of sleep per night, using alpha =0.05. t critical value = -0.001 t test statistic = -1.346 At a level of significance of 0.05, the date evidence to suggest that New Yorkers on average get less than 8 hours of sleep per night.

Explanation / Answer

As this is a left tailed test ("sleep LESS THAN 8 hours), and with

df = n - 1 = 26 - 1 = 25

alpha = 0.05,

then using table/technology,

t critical = 1.708140761 [answer]

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