A study is attempting to show that toddlers who listen to classical music always have better language skills. To test this, you take a random sample of toddlers, and divide them evenly into two groups of 45. Group 1 listens to classical music for an hour every day, while Group 2 is the control and does not listen to classical music at all. The results of your study are that x₁ = 61 and s,= 17, while x₂ = 54 and s₂ = 29 a. Express the claim that classical music results in better language skills mathematically (1) State the Null and Alternative Hypotheses (2) b. C. Find the z-score for your random sample (2) d. At a = 0.01, do you reject or fail to reject the null hypothesis? (2) Interpret the results in the context of the claim (3) e