STAT-351 Homework 2 Due date: March 6, 2019 1. In recent years, the policy of lead production in the United States has been to produce at total capacity rate but with no overtime permitted. Thus the production in any month should be independent of production in the following month. A U.S. Senator has expressed concern over a suspected increase in the national production of lead, but the monthly production figures over the past few years have shown large variation. Before a large-scale investigation of production is launched, the monthly figures shown in the Table below will be studied for patterns in the fluctuations. Test for Ho : Monthly production is a random process versus /1 : Monthly production figures exhibit a pattern of clustering. Table 1: Mine Production (in thousands of short tons) Month 1969 1970 1971 Jan. 37.2 47.8 45.3 Feb. 35.1 46.9 41.9 Mar. 39.3 52.5 52.7 Apr. 42.6 49.7 47.1 May 44.2 51.3 45.6 June 45.5 47.4 45.4 July 44.4 46.6 Aug. 45.4 48.1 Sept 43.5 48.6 Oct. 41.7 46.5 Nov. 41.5 48.5 Dec. 41.4 45.3