SOLUTION: 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

Question 856514: 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.

6.1
6
6.3
6.6
7.7
7.7
7.8
6.3
6.4
6.2

(a) Find t. (Give your answer correct to two decimal places.)
(this is what I answered but it was counted wrong) -12.91 .
(ii) Find the p-value. (Give your answer correct to four decimal places.)

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
what did You get for sample mean and use for standard deviation?
re Reply:

 

Hi,

Yes, mean = 6.71

	x	x - 6.71	(x-6.71)^2

	6.1	-0.61	0.3721

	6	-0.71	0.5041

	6.3	-0.41	0.1681

	6.6	-0.11	0.0121

	7.7	0.99	     0.9801

	7.7	0.99	     0.9801

	7.8	1.09	     1.1881

	6.3	-0.41	0.1681

	6.4	-0.31	0.0961

	6.2	-0.51	0.2601

sum     	67.1		4.729

sum/10	6.71	   sum/9	0.525444444

		   sqrt(sum/9)	0.724875468

Sample SD = .725

a)  t = 

ii) p-value =  NORMSDIST(-1.2664) =  .1027>.05  Sample does NOT show mean is <7

 

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