Plating of gold on wrist watches requires a chemical called AiCl3.&nbs

Question

Plating of gold on wrist watches requires a chemical called AiCl₃. Concentration of the chemical that is added to the solution is an important factor. The objective is to choose that concentration for which plating is uniform. Three concentration of AiCI₃ chosen were 5%, 15% and 20%. These were added in the solution and plating was done and thickness (in units) measured on 5 samples is gives below.

Sample → ------------------------- ↓ Conc. of `A_iCl₃`	1	2	3	4	5
5%	3	2	4	2	4
15%	4	4	3	2	4
25%	3	3	4	4	2

Use ANOVA to comment on whether the concentration of AiCI₃ gives same result or 3 not. (Use $\alpha=0.05$ )

09 Jan 2026

Answer :

Word Count : 312

For the three concentrations the observed thickness values are 5% : 3, 2, 4, 2, 4 15% : 4, 4, 3, 2, 4 25% : 3, 3, 4, 4, 2 First find totals and means. For 5% : total = 3+2+4+2+4 = 15, mean = 15/5 = 3 For 15% : total = 4+4+3+2+4 = 17, mean = 17/5 = 3.4 For 25% : total = 3+3+4+4+2 = 16, mean = 16/5 = 3.2 Grand total = 15+17+16 _______ ____ __________ ____ ________ ___ ______.
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	भौतिकी (X_i)	गणित (Y_i)	`X_i²`	`Y_i²`	`X_iY_i`
1	18	21	324	441	378
2	20	23	400	529	460
3	11	14	121	196	154
4	20	23	400	529	460
5	14	17	196	289	238
6	15	18	225	324	270
7	13	16	169	256	208
8	16	19	256	361	304
9	17	20	289	400	480
10	20	23	400	529	460
कुल जोड़	164	194	2780	3854	3412

No.	Physics (X_i)	Mathematics (Y_i)	`X_i²`	`Y_i²`	`X_iY_i`
1	18	21	324	441	378
2	20	23	400	529	460
3	11	14	121	196	154
4	20	23	400	529	460
5	14	17	196	289	238
6	15	18	225	324	270
7	13	16	169	256	208
8	16	19	256	361	304
9	17	20	289	400	480
10	20	23	400	529	460
Total	164	194	2780	3854	3412