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Mwangazalimiteddealsintheproductionofelectronicbulbs.Arandomsampleof10electronic bulbsproducedbythecompanyyieldedthefollowingresultsonthelifetimeofthebulbs. Lifetime(hours) 400 , 5 000 , 4 100 , 4 700 , 3 000 , 4 500 , 5 900 , 3 700

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] The hypothetical population mean of the lifetime of the electronic bulb is given as 4000 hours.

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