1.Listfourpropertiesofthestudent'sdistribution. [4Marks] 2.Mwangazalimiteddealsintheproductionofelectronicbulbs.Arandomsampleof10electronic bulbsproducedbythecompanyyieldedthefollowingresultsonthelifetimeofthebulbs. Lifetime(hours) 400 , 5 000 , 4 100 , 4 700 , 3 000 , 4 500 , 5 900 ,
1.Listfourpropertiesofthestudent'sdistribution.
[4Marks]
2.Mwangazalimiteddealsintheproductionofelectronicbulbs.Arandomsampleof10electronic
bulbsproducedbythecompanyyieldedthefollowingresultsonthelifetimeofthebulbs.
Lifetime(hours)
400
,
5
000
,
4
100
,
4
700
,
3
000
,
4
500
,
5
900
,
3
700
,
3
800
,
4
400
,
4
Required:
Testata%
5
percentlevelofsignificance,whetherthereisasignificantdifferencebetweenthe
samplemeanandthepopulationmean.
[6Marks]
3.Supposethatarandomsampleof100studentsisselectedtoestimatetheaverageamountoffees
arrears.ThesamplemeanisKsh.
000
,
54
withastandarddeviationofKsh.
000
,
25
.
Calculate:
(i)
A
%
95
confidenceintervalforthemean.[3Marks]
(ii)
Thesamplesizethatwouldberequiredtoestimatethemeantowithin
200
witha
%
95
confidencelevel.
[3Marks]
4.ThenumberoftaskssenttoanofficeprinterperminutefollowsaPoissondistributionwitha
parameter30.UsingthenormalapproximationtothePoissondistribution,findtheprobability
thatinoneminutetherearemorethan35tasks.
[4Marks]
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Authors: Herbert B Mayo
9th Edition
324561385, 978-0324561388
