3. (10 points) You want to explore the impact of chicken feed on chicken weights. You believe that the average weight of all chickens is 243 grams One Sample t-test data: chickwts$weight t = 1.9761, df = 70, p-value = 0. 05209 alternative hypothesis: true mean is not equal to 243 95 percent confidence interval: 242. 8301 279. 7896 sample estimates : mean of x 261. 3099 a. (5 points) What is the correct hypothesis test for this question? b. (5 points) What is the conclusion you draw from the t-test?4. (10 points) Does Horsepower predict Miles Per Gallon? Run the simple regression for the model MtCars? Call: 9lm(formula = mpg ~ hp, family = gaussian, data = mtcars) Deviance Residuals: Min 1Q Median 3Q Max -5. 7121 -2. 1122 -0. 8854 1.5819 8. 2360 Coefficients : Estimate Std. Error t value Pr (>|t[) (Intercept) 30. 09886 1. 63392 18. 421