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New York is known as "the city that never sleeps." Twenty-five (n=25) New Yorkers were randomly...

New York is known as "the city that never sleeps." Twenty-five (n=25) New Yorkers were randomly sampled and asked how much sleep they get per night and the sample mean was 7.3 hours. To test if New Yorkers sleep less than 8 hours a night on average (H0: μ = 8 v.s. Ha: μ < 8, where μ is the mean number of hours New Yorkers sleep a night), the P-value is

a) the probability of getting a random sample of 25 New Yorkers that on average slept 7.3 hours a night, when New Yorkers actually slept less than 8 hours per night on average.

b) the probability of getting a random sample of 25 New Yorkers that on average slept 7.3 hours or less a night, when New Yorkers actually slept 8 hours per night on average.

c) the probability that New Yorkers on average slept 8 hours per night, given that the 25 randomly sampled New Yorkers on average slept 7.3 hours a night

d) the probability that New Yorkers on average slept less than 8 hours per night, given that the 25 randomly sampled New Yorkers on average slept 7.3 hours a night.

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