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: μ = 7, Ha: μ < 7, α = 0.05.
6 5.5 6.9 7.6 6.3 7.4 5.3 6.1 5.5 7.6
(a) Find t. (Give your answer correct to two decimal places.)
(ii) Find the p-value. (Give your answer correct to four decimal places.)
From sample data,
= 6.42
S = 0.8954
a)
Test statistics
t = - / S / sqrt(n)
= 6.42 - 7 / 0.8954 / sqrt(10)
= -2.05
b)
From T table,
With test statistics t = -2.05 and df = 9,
p-value = 0.0353
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