TV sets: According to the Nielsen Company, the mean number of TV sets in a U.S. household in 2013 was 2.24. Assume the standard deviation is 1.3. A sample of 85 households is drawn. Part: 0 / 5 Part 1 of 5 (a) What is the probability that the sample mean number of TV sets is greater than 2? Round your answer to at least four decimal places. The probability that the sample mean number of TV sets is greater than 2 isDetermine whether the outcome is a Type I error, a Type II error, or a correct decision. A test is made of H : u = 30 versus ] : u #30. The true value of u is 30, and H. is rejected. The outcome of the test is a (Choose one)Testing, testing: An instructor believes that the mean time that students will spend on the take home test is 3 hours. A test is made of Hi] :p. = E versus H1 :11 f;- 3. 111e null hypothesis is rejected. State an appropriate conclusion. 111ere {Choose one} 1r- enough evidence to conclude that the mean time spent is (Choose one} 'I' 3 hours. IQ: Scores on a certain IQ test are known to have a mean of 100. A random sample of 50 students attend a series of coaching classes before taking the test. Let u be the population mean IQ score that would occur if every student took the coaching classes. The classes are successful if u > 100. A test is made of the hypotheses } :u = 100 versus /7 :w >> 100. Consider three possible conclusions: (i) The classes are successful. (ii) The classes are not successful. (iii) The classes might not be successful. Part: 0 / 2 Part 1 of 2 Which of the three conclusions is best if 1, is rejected? The best conclusion is (Choose one)A test is made of Ho: u = 12 versus H, : u 12 The alternate hypothesis is (Choose one)