Question

6. + 1.69/3.35 points | Previous Answers ASWSBE 13 18.Е.024 You may need to use the appropriate appendix table or technology to answer this question A certain brand of microwave oven was priced at 10 stores in Dallas and 13 stores in San Antonio. The data follow Dallas San Antonio 466 457 435 445 484 405 485 434 474 475 445 430 426 436 424 432 416 423 425 454 436 405 Use a 0.05 level of significance and test whether prices for the microwave oven are the same in the two cities. State the null and alternative hypotheses H0: Median price for Dallas-Median price for San Antonio Ha: Median price for Dallas - Median price for San Antonio 0 Ho: The two populations of microwave prices are identical Ha: The two populations of microwave prices are not identical O Ho: The two populations of microwave prices are not identical Ha: The two populations of microwave prices are identical : Median price for Dallas-Median price for San Antonio Ha: Median price for Dallas Median price for San Antonio 0 HO: Median price for Dallas-Median price for San Antonio 0 Ha: Median price for Dallas Median price for San Antonio 0 0 Find the value of the test statistic. Find the p-value. (Round your answer to four decimal places.) p-value

Answer 1

wilxocon rank sum test , n1,n2>=10

Dallas	San Antanio	rank for sample 1	rank for sample 2
445	466	15.5	19
484	457	22	18
405	435	1.5	11
485	474	23	20
434	475	10	21
444	445	14	15.5
430	424	8	5
426	432	7	9
436	416	12.5	3
405	423	1.5	4
	425		6
	454		17
	436		12.5

Dallas      
sample size ,    n1 =    10
sum of ranks ,    R1 =    115
      
San Antanio      
sample size ,    n2 =    13
sum of ranks ,   R2 =    161
      
R=sum of ranks for smaller sample size =       115

W=115
      
mean ,µ =    n1(n1+n2+1)/2 =    120
      
std dev,σ =    √(n1*n2*(n1+n2+1)/12) =   16.1245
      
Z-stat =    (R - µ)/σ =    -0.3101
      
  
P-value =       0.7565
Conclusion:         P-value>α , Do not reject null hypothesis