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MATH 533 WEEK 6 COURSE PROJECT PART B, HYPOTHESIS TESTING

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MATH 533 Week 6 Course Project Part B: Hypothesis Testing and Confidence Intervals Your manager has speculated the following: a. The average (mean) sales per week exceeds 41.5 per salesperson. b. The true population proportion of salespeople that received online training is less than 55%. c. The average (mean) number of calls made per week by salespeople that had no training is less than 145. d. The average (mean) time per call is greater than 15 minutes. 1.Using the sample data, perform the hypothesis test for each of the above situations in order to see if there is evidence to support your manager’s belief in each case A–D. In each case, use the five-step hypothesis testing procedure, with α = .05, and explain your conclusion in simple terms. Also, be sure to compute the p-value and interpret. 2. Follow this up with computing 95% confidence intervals fo

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Running IHead: ICourse IProject I- IB




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

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