Question

The average adult is supposed to get 8 hours of sleep a night. A "sleep habits" survey answered by 28 randomly selected New Yorkers contained the question "How much sleep do you get per night?" The sample average was 7.75 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 significance level α=0.05.

a. The null and alternative hypothesis are:
H₀:  --- μd μ1 - μ2 μ  --- > < ≠  =  
H_A:  --- μd μ1 - μ2 μ  --- >  < ≠ =  

b. The t test statistic is: t=  
Round your answer to 3 decimal places

c. What is probability that we would obtain a test statistic at least this extreme if the population mean sleep time for New Yorkers was equal to 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

d. 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.

Answer 1