Question

Conduct a hypothesis test (showing ALL 4 steps involved) to answer the question, "Does the amount o sleep affect how well someone does on a quiz?", using the following data:

$\sum x^2$

	4 hours	6 hours	8 hours	10 hours
	1	1	1	7
	4	1	2	6
	9	4	2	5
	5	3	1	8
T	19	9	6	26
n	4	4	4	4
M	4.75	2.25	1.5	6.5
SS	32.75	6.75	1	5

Answer 1

" To test H_0: Amount of sleep does not affect how well Someone does on quiz ? ie mu_1 = mu_2 = mu_3 = mu_4 H_1: Amount of sleep affects ""how well someone does on quiz ? ie Not all 4 means equal mu_i notequalto mu_j: i notequalto j Test statistics is F = 5.5824 At alpha = 0.05 Critical value = 3.4909 Decision rule is Reject H_0 if F > Critical value implies Reject H_0 at alpha = 0.05 Conclusion: rightarrow Amount of sleep does affect how well someone does on quiz at alpha = 0.05"