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ID: 3437271 • Letter: H
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The recommended number of hours of sleep per night is 8 hours, but everybody "knows" that the average college student sleeps less than 7 hours. The number of hours slept last night by 10 randomly selected college students is listed below. Complete the following hypothesis test: Ho: = 7, Ha: < 7, = 0.05.
(a) Find t. (Give your answer correct to two decimal places.)
(ii) Find the p-value. (Give your answer correct to four decimal places.)
state decision
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7.2 5.2 7.6 6.7 6 7.6 7.5 7.6 8 7.5Explanation / Answer
Ho: = 7, Ha: < 7, = 0.05.
Sample mean = 7.09
Std dev = 0.8736
Std error = 0.8736/rt 10 = 0.2763
df = 9
Mean difference = 7.09-7=0.09
t statistic = 0.3258
= 0.33
p value = 0.6255
As p >0.05, acept null hypothesis
Decision there is no significant difference between sample mean.
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