Question

Wind Mountain is an archaeological study area located in southwestern New Mexico. Potsherds are broken pieces of prehistoric Native American clay vessels. One type of painted ceramic vessel is called Mimbres classic black-on-white. At three different sites the number of such sherds was counted in local dwelling excavations.



Shall we reject or not reject the claim that there is no difference in population mean Mimbres classic black-on-white sherd counts for the three sites? Test given

Given that P-Value > 0.1, will you reject or fail to reject the null hypothesis?

The P-Value is less than the level of significance and so we fail to reject the null hypothesis that all three means are equal. At 0.01 level of significance, we conclude that not all of the means are equal.

The P-Value is greater than the level of significance and so we fail to reject the null hypothesis that all three means are equal. At 0.01 level of significance, we conclude that all of the means are equal.

The P-Value is greater than the level of significance and so we reject the null hypothesis that all three means are equal. At 0.01 level of significance, we conclude that all of the means are equal.

The P-Value is less than the level of significance and so we reject the null hypothesis that all three means are equal. At 0.01 level of significance, we conclude that not all of the means are equal.

The P-Value is greater than the level of significance and so we reject the null hypothesis that all three means are equal. At 0.01 level of significance, we conclude that not all of the means are equal.

Sitel SiteⅡ Site 62 26 30 22 61 19 41 40 43 51 19 54 60 30 64 54 α 0,01

Answer 1

The following table is obtained:

	Group 1	Group 2	Group 3
	62	26	30
	22	61	19
	41	40	43
	51	19	54
	16		60
	30		64
	54
Sum =	276	146	270
Average =	39.429	36.5	45
∑Xij2=	12682	6358	13722
St. Dev. =	17.319	18.52	17.731
SS =	1799.7142857143	1029	1572
n =	7	4	6

The total sample size is N = 17

Source of variation	sum of square	degree of freedom	mean sum of square
Between	192.815	2	96.408
Error	4400.714	14	314.337
Total		16

F = (96.408)/(314.337)

F = 0.307

P-value = 0.7407

conclusion :-

  The P-Value is greater than the level of significance and so we fail to reject the null hypothesis that all three means are equal. At 0.01 level of significance, we conclude that all of the means are equal.