Question: Here are the weights, in pounds, of a sample of 13 adult female Golden Retriever dogs: 59.0, 54.1, 53.7, 51.6, 57.5, 58.7, 58.0, 53.8, 48.9, 53.9, 51.6, 55.9, 57.4.

A. What are the degrees of freedom, and what's the critical value of t needed to construct a 95% confidence interval for the population mean weight of adult Golden Retrievers? (4 points)

B. Can we use t procedures to do inference for the mean weight of the population of adult Golden Retrievers? Explain, and include a sketch of a data plot. (6 points)

C. Construct a 95% confidence interval for the mean weight of the population of adult Golden Retrievers. Show your work. (8 points)

D. Suppose someone was to do a test of the hypothesis H₀: \(\mu \) = 52. Interpret the

confidence interval you obtained in part c of this problem as it pertains to this hypothesis.