1. 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, and 57.4. A. What are the degrees of freedom, and what's the critical value of f 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 H;: p = 52. Interpret the confidence interval you obtained in part C of this problem as it pertains to this hypothesis. (8 points) 2. This table shows the weights of two groups of people after graduating from two different weight-control programs. | Program 1 | Program 2 | [ i ] Conduct a test of the hypothesis that Program 2 is more effective for maintaining a lower weight than Program 1. Be complete in your answer. Be sure to include all parts of the hypothesis testing procedure. (26 points)