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Question

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: H_o: = 7, H_a: < 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

Comment

Solution

H_o: = 7, H_a: < 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.