Answer the following short questions: Insert the picture of the work done. (Keep in mind questions are not related to each other.) a) The mean age of graduate students at a University is at most 31 years with a standard deviation of two years. A random sample of 15 graduate students is taken. The sample mean is 32 years and the sample standard deviation is three years. Are the data significant at the 1% level? The p-value is 0.0264. State the null and alternative hypotheses and interpret the p-value. Write information given with correct symbols. Write Hypothesis Draw the p-value. b) A bottle of water is labeled as containing 16 fluid ounces of water. You believe it is less than that. What type of test would you use? c) Assume the null hypothesis states that the mean is at most 12. Write a hypothesis and Is this a left-tailed, right-tailed, or two-tailed test? d) What should you do if a = p-value