You wish to test the following claim (HaHa) at a significance
level of α=0.10α=0.10.
Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha:μ1>μ2
You obtain the following two samples of data.
Sample #1  Sample #2  



What is the test statistic for this sample? (Report answer accurate
to three decimal places.)
test statistic =
What is the pvalue for this sample? For this calculation, use the
degrees of freedom reported from the technology you are using.
(Report answer accurate to four decimal places.)
pvalue =
For Sample 1 :
∑x = 2851
∑x² = 192739
n1 = 46
Mean , x̅1 = Ʃx/n = 2851/46 = 61.9783
Standard deviation, s2 = √[(Ʃx²  (Ʃx)²/n)/(n1)] = √[(192738.52(2851)²/46)/(461)] = 18.8789
For Sample 2 :
∑x = 2676.4
∑x² = 159627
n2 = 50
Mean , x̅2 = Ʃx/n = 2676.4/50 = 53.5280
Standard deviation, s2 = √[(Ʃx²  (Ʃx)²/n)/(n1)] = √[(159626.78(2676.4)²/50)/(501)] = 18.2748

Null and Alternative hypothesis:
Ho : µ1 = µ2
H1 : µ1 > µ2
Test statistic:
t = (x̅1  x̅2)/√(s1²/n1 + s2²/n2) = (61.9783  53.528)/√(18.8789²/46 + 18.2748²/50) = 2.225
df = ((s1²/n1 + s2²/n2)²)/[(s1²/n1)²/(n11) + (s2²/n2)²/(n21) ] = 92.7363 = 93
pvalue = T.DIST.RT(2.2247, 93) = 0.0143
Decision:
pvalue < α, Reject the null hypothesis
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