Question

Rate Dining Servare emparing two lotet mupplies for next vear's King Neptune Night Supplier i dins that there is a variability in the weights of their lesbiters than is the weights of Supplier oftens Supplier claim that the true average weight of these lobsters exceeds that of Supplier by more than 0.25 pounds Two random samples of 16 and ny - 25 are weleted from each supplierre spectively. Each beter's chistered with the following summary values (pounds) JMP wormal qutile plots, listen and soffit test results are shown in the ext page Supplier 1 Supplier 2 Sample Sue Sample Mens Sample Standard Deviation 1 10 0.12 25 0.20 (1) What distribut i on is ded to perform a statistical hypothesis-testing procedure to determine whether the data support Supplier is claim' (I point) (2) Is there strong evidence to support Supplier is claim Carry out a test of hypothes at significance level 005 and interpret your conclusion (5 points) (3) Is there strong evidence to support Suppliers claim Carry out a test of hypotheses at significance level 005 me interpret your conclusion (10 points) (4) Find the Pale for the best in part (3) (2 points)

Answer 1

ANSWER. Rotgern DPning seaupcen are Suppltera a lobater comproting for nent year's King Neptone Night- Two random Samplea of Siaen ni = 16 & n2=25 Prom each Supplies, geapectively. Selected Sample Slandard Deviation Sample Size Sample Mean Supplien ! li10 16 O' 12 Suppliea z l.u0 O:20 25 ) Dentributional annumption Pn needed to penform a Slatntical hypokenia - teating proceduve to deteamine whetuer kue data suppolt soppliesis Clafm. a samplea a) The populationa from which tue dentibuted. drauon appoutimately normelty hoo populationa ηΟΥm Poskependent of b) The each Oker. 8) Tent ot hypentierin! Test and ci fol 2 Vaiancea.

Me-kod : 0: standard deviation of Sample 1 0;: standard deviation of Sarmple 2 Ralic: o/o, F method was used. This method is accurate for normal data only. DeacrPptive etakaken: 955 Upper Sermple StDev Variance Bound for |аозо Sample 1 0 120 16 0014 0.030 25 Sample 2 0200 0040 0.065 Ratio ot Variawea : Estimated 95% Upper Bound for Ratio Ratio using F 0.36 0.824 Teat : Nul hypothesis Hại o,'/a,'- H; of/o<1 Alternative hypothesis Signilkance level a= 005 Method Test Satistic СГI ог2 P-Value 24 |15 036 0022 Co. 022-) 9n < ke gniticance. SAnce, -ts p- vabie level Co es), we. Con Drject te no : ple have Suftkcient evidence. -to sigporl Supplien'A Clam. 3) Sm ple: T- Tent imean of Sample 1 H: mean of Sample 2 Difererce p Eawal Vantancea ane. a.nnumed fa tun aualytn Deacptive. ctatkatica: StDev SE Mean Sample Mean Sample 1 16 1100 0.120 0.030 25 1.400 Sample 2 0.200 0.040

for Difference: Estimation Pooled 95% Upper Bound Difference StDev for Difference 0.1736 -0.3000 -0.2063 Teat: Null hypothesis Họ: H1 - H2 = 0.25 Alternative hypothesis Н: , - На < 0.25 T-Value P-Value DF -9.89 39 0.000 Sence, tue P-vawe (0.000) ^< the Significance level hypotuenin. Co.05), we Can seject tue nou .: We have sofficient evidence to Suppalt Supplie Claim. fR teat : 4) p- vaue p- Vawe fel the teat in part (3) 9n o'000· Ir. THe