Part 2. (9 points) A winery bottles 1000's of bottles of wine per season. The winery has a machine that automatically dispenses the amount of wine per bottle. Each season the wine maker randomly samples 25 bottles of wine to ensure the amount of wine per bottle is 750 ml. If there is evidence that the amount is different than {less or more than) 750 ml the winery will need to evaluate the machine and perhaps rebottle or consider selling the wine at a discount. The sample yields a mean of E = 745.4 ml and standard deviation 5 = 9.9 ml. Assume the population is Normal. Use a significance level of 0.05. State: Is there sufficient evidence that the average fill of the wine bottles is different than 750 milliliters? Plan: a. (1 point) State the null and alternative hypotheses to answer the question of interest. b. (1.5 points) Check conditions for inference. List the conditions and state whether they are met. Solve: c. (1 point) Calculate the test statistic and degrees of freedom. Show work. d. (1 point) What is the p-value for the test? e. (2 points) Calculate a 95% confidence interval for u. Show work. Conclude: f. Write a fourpart conclusion describing the results. (1 point) Provide a statement in terms of the alternative hypothesis. (0.5 point) State whether (or not) to reject the null. (1 point) Give an interpretation of the point and interval estimate. (1 points) Include context