The mean ACT English score for 120 high school students is 20.1. Assume the population standard deviation is 6.8. The mean ACT reading score for 150 high school students is 21.3. Assume the population standard deviation is 6.5. At α = 0.10, can you support the claim that ACT reading scores are higher than ACT English scores?

(a) Identify the claim and state H₀, and H_a, 

(b) Find the critical value(s) and identify the rejection region(s), 

(c) Find the standardized test statistic z, 

(d) Decide whether to reject or fail to reject the null hypothesis, and 

(e) Interpret the decision in the context of the original claim. Assume the samples are random and independent, and the populations are normally distributed.