Question

# A "sleep habits" survey answered by 23 randomly selected New Yorkers contained the question "How much...

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:

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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