A "sleep habits" survey answered by 27 randomly selected New
Yorkers contained the question "How much sleep do you get per
night?" The sample average was 7.68 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 ---Select--- provides statistically significant
does not provide statistically significant evidence to suggest that
New Yorkers on average get less than 8 hours of sleep per
night.
You have one attempt for this question, so you should verify that
your answer to part b. is correct before submitting an answer to
this.
TOPIC:One sample t-test for the population mean.
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