The mean age of graduate students at a University is thought to be 31 years old. A random sample of 15 graduate students is taken. The sample mean age is 33 years and the sample standard deviation is three years. Does the sample data indicate that the population mean age is actually greater than 31 years old? Use a 1% level of significance. a.) What is a? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? a=i:l Ho=u=[:l ElmC] The test is a v test b.) Identify the Sampling Distribution you will use. What is the value of the test statistic? The best sampling distribution to use is the distribution. The test statistic (z or t value) is = [:] c.) Find or estimate the P-value for the test. The p-value is = . d.) Conclude the test. Based on this we will the null hypothesis