3. A researcher investigated the effects of cold on hypertension in rats by randomly assigning six rats to a 26°C environment and six to a 5°C environment and recording their blood pressures. Rat 2 3 4 5 9. 10 11 12 5 5 Temp (C) 26 26 26 26 26 26 5 5 5 Blood 152 149 176 157 182 179 369 354 423 366 375 384 Pressure
A researcher investigated the effects of cold on hypertension in rats by randomly assigning six rats to a 26oC environment and six to a 5oC environment and recording their blood pressures. (See data in picture)
(a) Check the assumptions for running a t-test for the difference between the two treatment means. Which ones are satisfied and which aren’t? Explain.
(b) Regardless of your answer to part (a), run a t-test for the difference between the two treatment means at the α = 5% level of significance. Specifically, we are interested in knowing if there exists sufficient statistical evidence to support the claim that low temperatures increase blood pressure in rats. Be sure to state the null and alternative hypotheses, calculate the appropriate test statistic, calculate the p-value, and state your conclusions.
(c) Construct a t-interval for the difference between the blood pressures of the two treatment groups. Use 95% confidence.
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