Listed below are the numbers of words spoken in a day by each member of six different couples. Use a 0.05 significant level to test the claim that amount couples, males speak more words in a day than females. Male56382131917572164294697825835Female 51982166119624133974155328667

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Asked Nov 25, 2019
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Listed below are the numbers of words spoken in a day by each member of six different couples. Use a 0.05 significant level to test the claim that amount couples, males speak more words in a day than females. 

Male 5638 21319 17572 16429 46978 25835
Female  5198 21661 19624 13397 41553 28667
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Expert Answer

Step 1

Given Data

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17572 Male 5638 21319 16429 46978 25835 Female 19624 13397 21661 41553 28667 5198 For male Σχ = 22295.2 теап х, п (x-x)2 std dev s1 13834.07 п — 1 For Female ΣΧ теап Xz = 21683.3 п (х — х)2 std dev s2 = 12555.84 п — 1

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Step 2

Formulation of Hypothesis

Null Hypothesis:- There is no difference in the no of words spoken by male and female

i.e. H0: µ1= µ2

Alternative Hypothesis: - males speak mor...

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22295.2 21683.3 х — х1 = 0. 080 t = 13834.072 12555.842 6 6 + П2 d.o.f 6+6-2 = 10 Calculating the p-value p-value 0.468 (From Excel-T.DIST.RT (0.080,10)) p-value 0.05

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Hypothesis Testing

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