Topic 4 Sampling Distributions (Solutions) PDF

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SamplingDistribution– Exercise

SamplingDistribution– Exercise Cont’d

2.

Willthechancebethesameifthesampleconsistsof30 individuals?Why?Ifyouransweris“NO”,whatthe chanceshouldbe? No.Asbyincreasingthesamplesize,thestandarderrorwill drop,leadingtoalarger value,andasmallerupper‐tail area.   ~ 140, 󰇛

3.

Ifthe20individualsarerandomlyselectedfromanon‐ Normalpopulation,whatistheprobabilitythatitsmean weightexceeds150lb.? Sincethepopulationisnon‐Normal,andthesamplesizeis small,weareunabletotellhowthesamplemeanisbeing distributed,andthecorrespondingprobability.

  󰇜 

󰇛  150󰇜    

150  140 20⁄ 30

    2.739  0.0031

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SamplingDistribution– Exercise Cont’d

4.

Cont’d

Forasampleconsistsof30individualsfromanon‐normal population,whatistheprobabilitythatitssamplemean weightfallsbetween135lb.and150lb.? Thepopulationdistributionisnon‐normal,butthesample sizeislarge( ,wecanconcludethat   according totheCentralLimitTheorem.    ⁄ 

  ⁄ 

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