Confidence Intervals for the Coefficient of Variation in a Normal Distribution with a Known Population Mean

Table 1

The values of 𝑎 and 𝑏 for the shortest-length confidence interval for 𝜅₀.

df	Confidence levels
	0.90		0.95		0.99
	𝑎	𝑏	𝑎	𝑏	𝑎	𝑏
2	0.2065	12.5208	0.1015	15.1194	0.0200	20.8264
3	0.5654	13.1532	0.3449	15.5897	0.1140	20.9856
4	1.0200	14.1800	0.6918	16.5735	0.2937	21.8371
5	1.5352	15.3498	1.1092	17.7432	0.5461	22.9867
6	2.0930	16.5807	1.5776	18.9954	0.8567	24.2618
7	2.6828	17.8391	2.0851	20.2863	1.2143	25.6017
8	3.2981	19.1099	2.6235	21.5953	1.6107	26.9749
9	3.9343	20.3848	3.1874	22.9118	2.0394	28.3643
10	4.5883	21.6598	3.7729	24.2303	2.4958	29.7602
11	5.2573	22.9325	4.3768	25.5476	2.9760	31.1580
12	5.9397	24.2016	4.9967	26.8618	3.4771	32.5543
13	6.6337	25.4666	5.6308	28.1717	3.9968	33.9474
14	7.3382	26.7269	6.2776	29.4769	4.5329	35.3358
15	8.0521	27.9825	6.9357	30.7770	5.0840	36.7192
16	8.7745	29.2334	7.6042	32.0720	5.6487	38.0968
17	9.5047	30.4796	8.2820	33.3619	6.2256	39.4688
18	10.2421	31.7212	8.9685	34.6467	6.8139	40.8347
19	10.9861	32.9585	9.6629	35.9266	7.4126	42.1952
20	11.7362	34.1915	10.3647	37.2016	8.0209	43.5498
21	12.4919	35.4205	11.0733	38.4720	8.6383	44.8989
22	13.2530	36.6455	11.7882	39.7379	9.2640	46.2426
23	14.0191	37.8668	12.5092	40.9995	9.8976	47.5810
24	14.7899	39.0844	13.2357	42.2570	10.5385	48.9144
25	15.5650	40.2986	13.9675	43.5105	11.1864	50.2428
26	16.3443	41.5095	14.7043	44.7601	11.8408	51.5665
27	17.1275	42.7171	15.4458	46.0060	12.5014	52.8856
28	17.9144	43.9217	16.1917	47.2483	13.1678	54.2002
29	18.7049	45.1234	16.9419	48.4872	13.8397	55.5107
30	19.4987	46.3222	17.6961	49.7229	14.5170	56.8169
40	27.5919	58.1755	25.4233	61.9217	21.5331	69.6808
50	35.9012	69.8342	33.4085	73.8920	28.8879	82.2534
60	44.3661	81.3479	41.5794	85.6914	36.4863	94.6063
70	52.9501	92.7487	49.8923	97.3573	44.2711	106.7867
80	61.6290	104.0584	58.3183	108.9153	52.2044	118.8272
90	70.3860	115.2925	66.8374	120.3839	60.2597	130.7514
100	79.2086	126.4628	75.4347	131.7767	68.4177	142.5771
150	124.0372	181.6128	119.2737	187.9079	110.3262	200.6194
200	169.6646	235.9748	164.0642	243.1025	153.4834	257.4375
250	215.8057	289.8273	209.4667	297.6910	197.4440	313.4620
300	262.3132	343.3155	255.3057	351.8461	241.9776	368.9185