Question

weight	feed
309	1
229	1
181	1
141	1
260	1
203	1
148	1
169	1
213	1
257	1
244	1
271	1
243	3
230	3
248	3
327	3
329	3
250	3
193	3
271	3
316	3
267	3
199	3
171	3
158	3
248	3
423	4
340	4
392	4
339	4
341	4
226	4
320	4
295	4
334	4
322	4
297	4
318	4
325	2
257	2
303	2
315	2
380	2
153	2
263	2
242	2
206	2
344	2
258	2

A 1948 study in Biometrika investigated the effects of several different diets on the weight of chickens. In this study, chickens were randomly assigned to one of several different groups, and each group of chickens received a different type of feed. The data provided represent a subset of data from this study and show the weights (in grams) of chickens receiving the sunflower, linseed, soybean, and meatmeal feeds.

Use software to conduct an analysis of variance (ANOVA) ?‑test to test the claim that the mean weights of chickens receiving sunflower, linseed, soybean, and meatmeal are equal. What are the ?‑statistic and ?-value for this test? Please round your ?‑statistic to the nearest two decimal places and your ?-value to the nearest five decimal places.

?‑statistic :

?-value:

Answer 1

Data:

Sunflower	Iinseed	Soybean	meatmeal
309	325	243	423
229	257	230	340
181	303	248	392
141	315	327	339
260	380	329	341
203	153	250	226
148	263	193	320
169	242	271	295
213	206	316	334
257	344	267	322
244	258	199	297
271		171	318
		158
		248

Using Excel function,

The OUTPUT Using Excel is:

Anova: Single Factor
SUMMARY
Groups	Count	Sum	Average	Variance
Sunflower	12	2625	218.75	2728.568
Iinseed	11	3046	276.9091	4212.091
Soybean	14	3450	246.4286	2929.956
meatmeal	12	3947	328.9167	2384.992
ANOVA TABLE
Source of Variation	SS	df	MS	F	P-value	F crit
Between Groups	80940.9	3	26980.3	8.90	0.00010	2.8115
Within Groups	136459.5	45	3032.433
Total	217400.4	48

F statistic (F) = 8.90

P-value = 0.00010

Conclusion:

P-value < , i.e. 0.00010 < 0.05, That is Reject Ho at 5% level of significance.

Therefore, Fail to claim that the mean weights of chickens receiving sunflower, linseed, soybean, and meat meal are equal.