You are the manager of a production company. The production manager comes to you with the idea to change an old laser machine in your plant with a new one, and he claims that the new one will increase the performance of the production process. You asked him to record the cutting time in seconds for each item with the new and the old machine. The production manager reported the following results in seconds for one cut: New machine Old machine 42.1 41.3 42.4 43.2 41.8 42.7 43.8 42.5 43.1 44.0 41.0 41.8 42.8 42.3 42.7 43.6 43.3 43.5 41.7 44.1 a) Construct the 95% confidence intervals for the differences of the means. b) Do you believe that the new machine increased the performance of the company and do you plan to allow the production manager to buy the new machine

Suppose that the free states of eldricia, a small nation, has consumption, investment, government purchases, imports, and exports as follows. consumption $140 investment $50 government purchases $45 imports $30 exports $15 calculate the free states of eldricia's gdp

Grant, inc., acquired 30% of south co.’s voting stock for $200,000 on january 2, year 1, and did not elect the fair value option. the price equaled the carrying amount and the fair value of the interest purchased in south’s net assets. grant’s 30% interest in south gave grant the ability to exercise significant influence over south’s operating and financial policies. during year 1, south earned $80,000 and paid dividends of $50,000. south reported earnings of $100,000 for the 6 months ended june 30, year 2, and $200,000 for the year ended december 31, year 2. on july 1, year 2, grant sold half of its stock in south for $150,000 cash. south paid dividends of $60,000 on october 1, year 2. before income taxes, what amount should grant include in its year 1 income statement as a result of the investment?

Suppose an economy has only two sectors: goods and services. each year, goods sells 80% of its outputs to services and keeps the rest, while services sells 62% of its output to goods and retains the rest. find equilibrium prices for the annual outputs of the goods and services sectors that make each sector's income match its expenditures.