Course IProject IPart I- IB
Math-533 IApplied IManagerial IStatistics
Professor; ILeroy IMiller
I
DATE
, 2
Course IProject I– IB
Speculation IA: IThe Iaverage I(mean) Isales Iper Iweek Iexceed I41.5 Iper Isalesperson:
It Ihas Ibeen Ispeculated Ithat Ian Iaverage Isales Iper I week Iexceeds I41.5 Iper
I salesperson. IFrom Iour Isample Idata Ithe Iaverage I(mean) Isales Iper Iweek Ifor Ithe Igiven
I period Iwas I42.34 Isales. IThe Ianalysis Iof Ithe Isample Idata Ishowed Ithat Ithere Iis Isufficient
I evidence Ito Isupport Ithe Iclaim Ithat Ithe Itrue Iaverage Isale Iper Iweek Iis Igreater Ithan I41.5 Iper
I salesperson. IThis Iconclusion Iis Ifurther Isupported Iby Ithe Idata Iwhich Iindicated I(with I95%
I confidence), Ithe Iactual Iaverage Isales Iper Iweek Iis Isomewhere Ibetween I41.6 Iand I43.2 Iper
I salesperson. IThe Idetail Istatistical Ianalysis Iand Imethods Iused Ito Isupport Ithese Iconclusions
are Iprovided Iin Ithe Iappendix.
I
Key IStatistics
Mea SE Media Mod St. Rang
N Variance Min Max
n Mean n e Dev e
42.3
100 0.417 42 44 4.17 17.39 20 32 52
4
Step I1: IHypotheses
Ho: Iμ I≤ I41.5
Ha: Iμ I> I41.5
I
Step I2: ILevel Iof ISignificance
α I= I0.05
Z IValue
Z0.05 I= I1.645
Step I3& I4: ICalculation
Z Iscore ITest I– ISingle ITail I(Result IAccording Ito IMinitab) IOne-Sample IZ
Snap IShoot Iof IMinitab Iis Iattached Iin IAppendix II
I