La Leche League International reports that the mean age ofweaning a child from breastfeeding is age four to five worldwide.In America, most nursing mothers wean their children much earlier.Suppose a random survey is conducted of 21 U.S. mothers whorecently weaned their children. The mean weaning age was 9 months(3/4 year) with a standard deviation of 3 months. Conduct ahypothesis test to determine if the mean weaning age in the U.S. isless than four years old. Conduct a hypothesis test at the 5%level. Note: If you are using a Student's t-distribution for theproblem, you may assume that the underlying population is normallydistributed. (In general, you must first prove that assumption,though.) A.) State the distribution to use for the test. (Enteryour answer in the form z or tdf where df is the degrees offreedom.) B.) What is the test statistic? (If using the zdistribution round your answers to two decimal places, and if usingthe t distribution round your answers to three decimal places.) C.)What is the p-value? (Round your answer to four decimal places.)D.) Indicate the correct decision (\"reject\" or \"do not reject\" thenull hypothesis), the reason for it, and write an appropriateconclusion. (i) Alpha (Enter an exact number as an integer,fraction, or decimal.) E.) Construct a 95% confidence interval forthe true mean. Sketch the graph of the situation. Label the pointestimate and the lower and upper bounds of the confidence interval.(Enter your answers in years. Round your answers to four decimalplaces.)