Daphnia pulicaria is a water flea - a small crustacean that lives in lakes and is a major food supply for many species o

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Daphnia Pulicaria Is A Water Flea A Small Crustacean That Lives In Lakes And Is A Major Food Supply For Many Species O 1 (73.95 KiB) Viewed 104 times

Daphnia pulicaria is a water flea - a small crustacean that lives in lakes and is a major food supply for many species of fish. When fish are present in the lake water, they release chemicals called kairomones that induce water fleas to grow long tail spines that make them more difficult for the fish to eat. One study of this phenomenon compared the relative length of tail spines in Daphnia pulicaria when Kairomones were present to when they were not. Below are data on the relative tail spine lengths, measured as a percentage of the entire length of the water flea. S Fish Kairomone present|185 41.974.57 Fish Kairomone absent 16037.534.34 Do the data provide convincing evidence that the average relative tail spine length of Daphnia is longer in the presence of fish kairomones? Assume the conditions for inference have been met. Use up for the average relative tail spine length of all Daphnia when kairomones are present and uA for the average relative tail spine length of all Daphnia when Kairomones are absent. a) Write a pair of hypotheses. 0 Ho: XP - XA = 0 [XP = XA Hạ: XP - XA > 0 [XP > Xe] O Ho: Mlp - MA = 0 [up = MA] Hai Mp - MA # 0 [up MA] O Ho: Mp - MA = 0 [Mp = MA] Hai Mp - MA < 0 [up<MA] Ho: Mp - MA = 0 [up = MA] Hai Mp - MA> 0 [up > MA] b) Calculate the standardized test statistic. (3 decimal places) t = c) Determine the p-value. (4 decimal places) p-value = d) What is your conclusion at a = 0.005? Because the p-value is so small (p-value < 0.005) we fail to reject Ho, there is not enough evidence to say that the average relative tail spine length for all Daphnia when Kairomones are present is greater than the average relative tail spine length for all Daphnia when kairomones are absent. O Because the p-value is so large (p-value > 0.005) we fail to reject Ho, there is not enough evidence to say that the average relative tail spine length for all Daphnia when kairomones are present is greater than the average relative tail spine length for all Daphnia when Kairomones are absent. O Because the p-value is so large (p-value > 0.005) we reject Ho, there is strong enough evidence that the average relative tail spine length for all Daphnia when kairomones are present is greater that the average relative tail spine length for all Daphnia when kairomones are absent. Because the p-value is so small (P-value < 0.005) we reject Ho, there is strong enough evidence that the average relative tail spine length for all Daphnia when kairomones are present is greater that the average relative tail spine length for all Daphnia when kairomones are absent.