Question

A problem with a telephone line that prevents a customer from receiving or making calls is upsetting to both the customer and the telecommunications company. The accompanying table contains samples of 20 problems reported to two different offices of a telecommunications company and the time to clear these problems​ (in minutes) from the​ customers' lines.

At the 0.05 level of​ significance, is there evidence of a difference in the variability of the time to clear problems between the two central​ offices?

What test will you use?

What is the critical value?

What is the pvalue?

Reject Ho?

Difference in the variability?

Time	Location		Time	Location
1.39	1		8.21	2
1.63	1		4.06	2
0.77	1		0.08	2
2.65	1		1.04	2
0.52	1		0.55	2
1.38	1		0.61	2
3.69	1		3.89	2
4.16	1		2.19	2
1.25	1		0.62	2
3.04	1		3.93	2
1.01	1		3.66	2
0.55	1		0.62	2
0.99	1		2.15	2
1.51	1		0.59	2
0.75	1		1.33	2
1.09	1		4.82	2
7.04	1		0.08	2
3.36	1		1.73	2
4.69	1		1.72	2
1.04	1		0.66	2

Answer 1

From the given data

H0: There is no significance difference in the variability of the time to clear problems between the two central​ offices

H1: There is no significance difference in the variability of the time to clear problems between the two central​ offices

Test Statistic:

Critical Value: F_L = 0.396 and FU = 2.526

P-Value: 0.4273

since P-value > alpha 0.05 so we accept H0

Thus,