ACTIVITY 4-3 QUESTIONS AND
ANSWERS 2024 WITH COMPLETE
ANSWERS
For sseach ssof ssthe ssfollowing ssproblems, sschoose ssif ssa ssresearcher ssshould ssuse ssa
ssz ssfor ssan ssindividual ssscore, ssz ssfor ssa sssample ssmean, ssor sssingle sssample sst.
ssJust sschoose sswhich ssstatistic ssis ssappropriate. ssDo ssnot sscompute ssthe ssstatistic
ssyet. ssYou sswill ssdo ssthat ssat ssthe ssend ssof ssthe ssactivity.
A ssschool sspsychologist sswants ssto ssidentify ssstudents sswho ssmay ssneed ssextra sshelp
ssin sstheir ssmath sscourse ssand ssso ssgives ssthe ssstudents ssa ssstandardized ssmath
sstest. ssThe ssscores ssare ssnormally ssdistributed ssand sshave ssa ssmean ssof ss500 ssand
ssa ssstandard ssdeviation ssof ss100. ssStudents sswho ssscore ssbelow ss400 ssare ssgiven
ssadditional sstutoring. ssWhat sspercentage ssof ssstudents sswould ssyou ssexpect ssto
ssreceive ssscores ssat ssor ssbelow ss400? ssChoose ssthe sscorrect ssstatistic. ss- ssAnswer
ssz ssfor ssan ssindividual ssscore
15.87%
A ssresearcher ssknows ssthat sspoverty ssis ssoften ssassociated sswith sspoor ssnutrition.
ssThe ssresearcher sswants ssto ssdetermine ssif sspoverty ssis ssalso ssrelated ssto ssheight.
ssTo sstest ssthis ssassociation, sshe ssobtains ssa sssample ssof ss25 sswomen sswho sshave
ssincomes ssbelow ssthe sspoverty ssline. ssAssuming ssthat ssthe ssaverage ssheight ssof
sswomen ssin ssthe sspopulation ssis ss64.5 ssinches sswith ssa ssstandard ssdeviation ssof ss2
ssinches, sswhat ssis ssthe ssprobability ssthat sssampling sserror sswould ssresult ssin
ssobtaining ssa sssample ssmean ssthat ssis ssbelow ss63 ssinches ssfor ssa sssample ssof ss25
sswomen? ssChoose ssthe sscorrect ssstatistic. ss- ssAnswer ssz ssfor ssa sssample ssmean
.0001
A sscar ssseat ssmanufacturer ssdevelops ssa ssseat ssthat ssis sssafest ssfor sspeople sswho
ssare ssbetween ss62 ssinches ssand ss68.5 ssinches. ssIf ssthe ssaverage ssheight ssof
sswomen ssin ssthe ssUnited ssStates ssis ss64 ssinches sswith ssa ssstandard ssdeviation ssof
ss2 ssinches, sswhat sspercentage ssof sswomen ssfall ssoutside ssof ssthe sssafest ssrange?
ssChoose ssthe sscorrect ssstatistic. ss- ssAnswer ssz ssfor ssan ssindividual ssscore
17.09%
ANSWERS 2024 WITH COMPLETE
ANSWERS
For sseach ssof ssthe ssfollowing ssproblems, sschoose ssif ssa ssresearcher ssshould ssuse ssa
ssz ssfor ssan ssindividual ssscore, ssz ssfor ssa sssample ssmean, ssor sssingle sssample sst.
ssJust sschoose sswhich ssstatistic ssis ssappropriate. ssDo ssnot sscompute ssthe ssstatistic
ssyet. ssYou sswill ssdo ssthat ssat ssthe ssend ssof ssthe ssactivity.
A ssschool sspsychologist sswants ssto ssidentify ssstudents sswho ssmay ssneed ssextra sshelp
ssin sstheir ssmath sscourse ssand ssso ssgives ssthe ssstudents ssa ssstandardized ssmath
sstest. ssThe ssscores ssare ssnormally ssdistributed ssand sshave ssa ssmean ssof ss500 ssand
ssa ssstandard ssdeviation ssof ss100. ssStudents sswho ssscore ssbelow ss400 ssare ssgiven
ssadditional sstutoring. ssWhat sspercentage ssof ssstudents sswould ssyou ssexpect ssto
ssreceive ssscores ssat ssor ssbelow ss400? ssChoose ssthe sscorrect ssstatistic. ss- ssAnswer
ssz ssfor ssan ssindividual ssscore
15.87%
A ssresearcher ssknows ssthat sspoverty ssis ssoften ssassociated sswith sspoor ssnutrition.
ssThe ssresearcher sswants ssto ssdetermine ssif sspoverty ssis ssalso ssrelated ssto ssheight.
ssTo sstest ssthis ssassociation, sshe ssobtains ssa sssample ssof ss25 sswomen sswho sshave
ssincomes ssbelow ssthe sspoverty ssline. ssAssuming ssthat ssthe ssaverage ssheight ssof
sswomen ssin ssthe sspopulation ssis ss64.5 ssinches sswith ssa ssstandard ssdeviation ssof ss2
ssinches, sswhat ssis ssthe ssprobability ssthat sssampling sserror sswould ssresult ssin
ssobtaining ssa sssample ssmean ssthat ssis ssbelow ss63 ssinches ssfor ssa sssample ssof ss25
sswomen? ssChoose ssthe sscorrect ssstatistic. ss- ssAnswer ssz ssfor ssa sssample ssmean
.0001
A sscar ssseat ssmanufacturer ssdevelops ssa ssseat ssthat ssis sssafest ssfor sspeople sswho
ssare ssbetween ss62 ssinches ssand ss68.5 ssinches. ssIf ssthe ssaverage ssheight ssof
sswomen ssin ssthe ssUnited ssStates ssis ss64 ssinches sswith ssa ssstandard ssdeviation ssof
ss2 ssinches, sswhat sspercentage ssof sswomen ssfall ssoutside ssof ssthe sssafest ssrange?
ssChoose ssthe sscorrect ssstatistic. ss- ssAnswer ssz ssfor ssan ssindividual ssscore
17.09%
