Recall Example 7.3 about the number of M&Ms taken with small versus large bowls. The example uses the following parameter of interest:

μ_d = Long-run mean difference for the number of M&Ms that will be taken when using a small bowl minus a large bowl.
The hypotheses are H₀: μ_d = 0 versus H_a: μ_d < 0. The example reports the theory-based p-value to be 0.1172 and the 95% confidence for μ_d to be (−29.54, 7.78). Suppose we defined the parameter of interest to be μ_new = Long-run mean difference for the number of M&Ms that will be taken when using a large bowl minus a small bowl.
a. State the hypotheses in terms of μ_new.
b. Without doing any calculations, report what the p-value would be for the hypotheses stated in part (a). Explain your reasoning.
c. Without doing any calculations, report what the 95% confidence interval μ_new would be. Explain your reasoning.