Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study was then done to see if the mean time has increased in the new century. A random sample of 26 first-time convicted burglars in a recent year was picked. The mean length of time in jail from the survey was 3 years. Suppose that it is somehow known that the population standard deviation is 1.5 years. Conduct a hypothesis test to determine if the mean length of jail time has increased. Assume the distribution of the jail times is approximately normal. 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 : Ho: H = H1: M Select an answer v The test is a Select an answer 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 Select an answer | 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