A "sleep habits" survey answered by 23 randomly selected New
Yorkers contained the question "How much sleep do you get per
night?" The sample average was 7.72 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 α=0.05.
a. The t test statistic is:
Round your answer to 3 decimal places
b. What is probability that we would obtain a test statistic at
least this extreme if the population mean sleep time for New
Yorkers was not less than 8 hours per night?
Hint: the phrasing of this question is based on the definition of a
particular statistic. Round your answer to 3 decimal places
c. Using a level of significance of 0.05, the data: provides
statistically significant OR does not provide statistically
significant evidence to suggest that New Yorkers on average get
less than 8 hours of sleep per night.
thank you
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