Golden Retrievers are one of the most popular dog breeds in America. A random sample of 20 Golden Retriever owners were asked about the weight of their dogs. The average weight was 70.1 pounds with a standard deviation of 5.4 pounds. According to breed recommendations for Golden Retrievers, the average weight of these dogs is 65 pounds. Test whether this sample provides evidence that the average weight of Golden Retrievers is greater than 65 pounds at the 5% level. (20 points) a. State whether the following variable is categorical or quantitative. Weight of Golden Retrievers (in pounds): b. State the null and alternative hypotheses. Ho H Calculate the appropriate test statistic. You must show all work for full credit! d. How many degrees of freedom are there for this test? df= 0.40 0.35 0.30 0.25 0.20 0.15 0.10 0,05 e AaBbCcD AaBbCcDdE AaB Normal No Spacing Heading 1 Heading 2 Tise Use the following t-distribution to find the associated p-value. 0.00023 0.00 4.0 3.0 2.0 00 1.6 30 4.220 State the conclusion by circling the appropriate bolded values. Because the p-value is (less than/greater than) the 5% significance level, we (reject H./ fail to reject Ha). Thus, (there is evidence / there is not evidence) to conclude that the average weight of Golden Retrievers is greater than the 65 pounds recommended for the breed. I