A greenhouse experiment was carried out to test whether or not a certain fertili

Question

A greenhouse experiment was carried out to test whether or not a certain fertilizer increased soybean yield beyond a certain value. Five soybean plants were grown hydroponically in each of 5 flasks containing water and 50 grams of the new fertilizer. Using the data below, test the hypothesis that, when grown with the new fertilizer, mean soybean yield exceeds 239 grams/plant. Test at a = 0.05 Soybean yields (grams/plant). Flask 1: 276, 243, 254, 242, 265 252, 259, 241, 264, 244 231, 253, 265, 247, 221 258, 226, 231, 239, (one plant died)

Explanation / Answer

From the anova Table, p-value is 0.275517 >0.05(Level of significance). we can conclude that do not reject the null hypothesis. i.e.,  the mean soyabe

Anova: Single Factor SUMMARY Groups Count Sum Average Variance F1 5 1280 256 212.5 F2 5 1260 252 94.5 F3 5 1217 243.4 306.8 F4 4 954 238.5 197.6667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 866.7474 3 288.9158 1.421736 0.275517 3.287382 Within Groups 3048.2 15 203.2133 Total 3914.947 18

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