Question

Question 5 4 pts A Montgomery Hospital experiment involves two different waiting line configurations for patients arriving for admission. The waiting times in seconds) are recorded with a single-line configuration that feeds four stations and another configuration with individual lines at the four stations. Determine whether there is a difference in variation between the two data sets. Keep your numerical answers rounded to 3 decimal places. Single Line Individual Lines 390, 396, 402, 408, 426, 438, 444, 462, 462, 462 252, 324, 348, 372, 402, 462, 462, 510, 558, 600 Identify the standard deviations for each waiting line configuration: Α. Single Line B. Individual Lines: C. What is the largest significance level (a) that will yield a finding of no difference in the variation between the two data sets? BIVAA. IK EE311 X HTML Editor

Answer 1

$H_0:\sigma_1=\sigma_2$

$H_a:\sigma_1\neq\sigma_2$

E F G Н - K 1 ? X 2 3 F-Test Two-Sample for Variances Input Variable 1 Range: $A$1:$A$11 Variable 2 Range: $B$1:$B$11 OK 4 Cancel 5 A Single line 390 396 402 408 426 438 444 462 462 462 B с D Individual Lines F-Test Two-Sample for Variances 252 324 Single line 348 Mean 429 372 A-B) Variance 818 402 Observations 10 462 df 9 462 0.0685 510 P(F) Two-tail 0.0005 558 F Critical one-tail 0.3146 600 Individual Lines 429 11946 10 9 6 Help Labels Alpha: 0.05 7 8 9 C) 10 SF$1 Output options Output Range: New Worksheet Ply: O New Workbook 11 OO 12 13

P value for two tailed test is 0.0005, we fail to reject the null for significance level $\alpha<P-value$

hence $\alpha=0.0004$ that will yield a finding of no difference in variation.