Question

Question Help A bank with branches located in a commercial district of a city and in a residential area has the business objective of developing an improved process for serving customers during the noon-to-1 PM lunch period Management decides to first study the waiting time in the current process. The waiting time is defined as the number of minutes that elapses from when the customer enters the line until he or she reaches the teller window. Data are collected from a random sample of 15 customers at each branch Complete parts (a) through () below Click the icon to view the bank branch data Waiting Time Data Hq. Hyh Oc. Ho: H, 712 H . 2 Comercial Residential 978 535 Find the test statistic 8.11 3.12 5.18 575 ISTAT -4.07 (Round to two decimal places as needed) Find the critical value(s) 230 223 07 82 457 6.90 609 0.46 urces (Use a comma to separate answers as needed Round to two decimal places as needed Enter your answer in the answer box and then click Check Answer 6.26 397 559 on Tools D bem de e here to search

Answer 1

To test null hypothesis Ho :|1 - M2 = 0 against alternative hypothesis H1 :41-42 + 0 Here, 21 = 4.3040, 81 = 1.6201, ni = 15, +2 = 6.6033, S2 = 2.7894, n2 = 15 The test statistic can be written as : (2.1 – C2) - 0 t= which under Ho follows a t distribution with 22 df. where df= SI Decision rule : We reject Ho at 0.05 level of significance if P-value < 0.05 or if tobs | > t0.025,df Now, The value of the test statistic = -2.760655 associated degrees of freedom = 22 The critical value =+ 2.07387 P-value = P(|t22/> tobs) = 2* P(t22 > -2.760655) = 2 *(1 – 0.994296) = 0.01141 Since p-value < 0.05 and tobs | > tcritical = 2.07387, so we reject Ho at 0.05 level of significance Hence, we can conclude that there is significant difference between two population means. no population medienaicance