New York is known as “the city that never sleeps.” A random sample of 25 New Yorkers were asked how much sleep they get per night. Out of this sample, the man number of hours of sleep was 7.73 hours, with a standard deviation of 0.77 hours. Perform a hypothesis test at the α = 0.05 significance level to determine if this provides sufficient evidence that the average New Yorkers sleeps less than 8 hours per night. b) State the null and alternative hypotheses symbolically. c) Which test procedure (z- or t-) is appropriate to perform the required hypothesis test? What do we need to know in order to use this test? d) Compute the value of the test statistic. e) Determine the P-value. Please round your P-value to three decimal places. f) Should you reject the null hypotheses or not?
New York is known as “the city that never sleeps.” A random sample of 25 New Yorkers were asked how
much sleep they get per night. Out of this sample, the man number of hours of sleep was 7.73 hours, with a
standard deviation of 0.77 hours.
Perform a hypothesis test at the α = 0.05 significance level to determine if this provides sufficient evidence
that the average New Yorkers sleeps less than 8 hours per night.
b) State the null and alternative hypotheses symbolically.
c) Which test procedure (z- or t-) is appropriate to perform the required hypothesis test? What do we
need to know in order to use this test?
d) Compute the value of the test statistic.
e) Determine the P-value. Please round your P-value to three decimal places.
f) Should you reject the null hypotheses or not?
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