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Statistic & Probability Quarter 4 Lesson 2 (My Answers), Quizzes of Mathematics

Mathematics

z-Test on the Comparison Between the Population Mean and Sample Mean and t-Test on the Comparison Between the Population Mean and Sample Mean

Typology: Quizzes

2019/2020

Available from 10/16/2021

Mariecookie
Mariecookie 🇵🇭

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Statistics&ProbabilityGrade11
Quarter4-Module1
Lesson2:ExploringTestingHypothesis
Pre-test
A.Readandunderstandthestatementsbelowandidentifythetermdescribed.
Writeyouranswersinyouractivitynotebooks.
1.Itisaclaiminaresearchthatstatesnodifferencesamongthevariablesisinvolved.-(nullhypothesis)
2.Itisasetofvaluesthatcouldrejectaclaim ofaresearch.-(criticalregion)
3.Itistheprobabilityofrejectingatruenullhypothesis.-(a)
4.Itisalsoknownasnon-directionaltest.-(two-tailedtest)
5.Itisavaluecomputedfromthedataoftheentirepopulationwhichisdonebyaddingallthedataanddividedby
thenumberofdata.-(populationmean)
6.Itisthesquareofapopulationstandarddeviation.-(populationvariance)
7.Itiscommittedwhenacceptingafalsenullhypothesis.-(TpeIIerror)
8.Itiscommittedwhenrejectingatruenullhypothesis.-(TypeIerror)
9.Itisdonetothelevelofsignificancefornon-directionaltest.-(dividedby2)
10.Itistheconfidencelevelwhenthelevelofsignificanceis10%.-(90%)
Activity6
Determinethegivenoftheproblemsbelowandformulatethenulland alternativehypothesisbothinwordsand
symbols.Writeyouranswerinyournotebook.Pleasefollowtheformatintheexamples.
1.AjeepneydriverclaimsthathisaveragemonthlyincomeisPhp3000.00withastandarddeviationofPhp300.00.A
sampleof30jeepneydriversweresurveyedandfoundthattheiraveragemonthlyincomeisPhp3500.00witha
pf3

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Statistics&ProbabilityGrade 11

Quarter 4 - Module 1

Lesson 2 :ExploringTestingHypothesis

Pre-test

A.Readandunderstandthestatementsbelowandidentifythetermdescribed. Writeyouranswersinyouractivitynotebooks. 1 .Itisaclaiminaresearchthatstatesnodifferencesamongthevariablesisinvolved.-(nullhypothesis) 2 .Itisasetofvaluesthatcouldrejectaclaimofaresearch.-(criticalregion) 3 .Itistheprobabilityofrejectingatruenullhypothesis.-(a) 4 .Itisalsoknownasnon-directionaltest.-(two-tailedtest) 5 .Itisavaluecomputedfromthedataoftheentirepopulationwhichisdonebyaddingallthedataanddividedby thenumberofdata.-(populationmean) 6 .Itisthesquareofapopulationstandarddeviation.-(populationvariance) 7 .Itiscommittedwhenacceptingafalsenullhypothesis.-(TpeIIerror) 8 .Itiscommittedwhenrejectingatruenullhypothesis.-(TypeIerror) 9 .Itisdonetothelevelofsignificancefornon-directionaltest.-(dividedby 2 ) 10 .Itistheconfidencelevelwhenthelevelofsignificanceis 10 %.-( 90 %)

Activity 6

Determinethegivenoftheproblemsbelowandformulatethenulland alternativehypothesisbothinwordsand symbols.Writeyouranswerinyournotebook.Pleasefollowtheformatintheexamples. 1 .AjeepneydriverclaimsthathisaveragemonthlyincomeisPhp 3000. 00 withastandarddeviationofPhp 300. 00 .A sampleof 30 jeepneydriversweresurveyedandfoundthattheiraveragemonthlyincomeisPhp 3500. 00 witha

standarddeviationofPhp 350. 00 .Testthehypothesisat 1 %levelofsignificance. Given:samplesizen= 30 Parameter:populationmeanu= 3000 H 0 :TheaveragemonthlyincomeofajeepneydriverisPhp 3000 .Insymbol,u= 3000. H 1 :TheaveragemonthlyincomeofajeepneydriverisgreaterthanPhp 3000 .Insymbolu> 3000. 2 .AMathematicsteacherinseniorhighschooldevelopedaproblem-solvingtestforrandomlyselected 40 grade 11 students.Thesestudentshadanaveragescoreof 85 andastandarddeviationof 5 .Ifthepopulationhadameanscore of 90 andastandarddeviationof 3 ,use 5 %levelofsignificancetotestthehypothesis. Given:samplesizen= 40 Parameter:populationmeanu= 90 H 0 :Theaveragescoreofstudentsis 90 .Insymbol,u= 90. H 1 :Theaveragescoreofstudentsislessthan 90 .Insymbolu< 90. 3 .Akinderteacherdevelopedacoloringworksheetforherpupils.Usingthisworksheet,thepupils’performancehasa meanscoreof 90 andastandarddeviationof 10 .Fiftykinderpupilsfromacertainbarangaywereaskedtoanswerthe saidworksheetandfoundthattheirmeanscorewas 95 withastandarddeviationof 5 .Testthehypothesisat 1 % significancelevel. Given:samplesizen= 50 Parameter:populationmeanu= 90 H 0 :Themeanscoreofpupil'sperformanceis 90 .Insymbolu= 90. H 1 :Themeanscoreofpupil'sperformanceisgreaterthan 90 .Insymbolu> 90.

Activity 7

Determinethegivenoftheproblemsbelowandformulatethenullandalternativehypothesesbothinwordsand symbols.Writeyouranswerinyournotebook.Pleasefollowtheformatintheexamples. 1 .Ahealthspecialistwantstodeterminetheaveragenumberofhoursapersonexercisesinadayduringthe quarantineperiod.Shefoundoutthatthemeannumberofhoursapersonexercisesinadayduringthequarantine periodis 80 minutes.Arandomsampleof 29 personsweresurveyedandfoundthattheirmeanis 65 minutesanda

Statistic:samplemean= 3500

Populationstandarddeviation= 300

Statistic:samplemean= 85

Populationstandarddeviation= 3

Statistic:samplemean= 95

Populationstandarddeviation= 10