A sleep habits survey answered by 26 randomly selected New Y

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.

Solution

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]