To answer the following questions, you will need to access the DCMP inference for a population mean tool at https://dcmpdatatools.utdanacenter.org/inference_mean/ . Scenario: Zika is a disease caused by a virus that is spread through mosquito bites. Suppose researchers are interested in comparing the average head circumference of babies born in brazil to mothers who were zika positive during 205 to the average head circumference for all babies born in brazil in 2015. In 2015, Brazil had almost three million births.This population of births had an average head circumference of 14.25 inches. Researchers would like to determine if there is evidence that the average head circumference of babies born to mothers with zika is different than the population average head circumference of 14.25 in. Suppose we take a random sample of 100 babies born to zika-positive mothers and we get a mean head circumference of 14 inch and a standard deviation of 1.05. Use a significance level of 0.05. Part A: What type of test is appropriate to answer the researchers' hypothesis? Part B: What are the knoll and alternative hypotheses for the test? Part C: Are the assumptions/conditions for the test met? Explain. Part D: What is the value of the test statistic? (three decimal places) Part E: What is the p value for this test statistic? ( four decimal places) Part F: What is the conclusion of the test in the context of the data