Question

Q-3) 6 marks Hypothesis test for μ when σ is known. Suppose that the time it takes an electronic device in a car to respond to a signal from the toll plaza is normally distributed with mean 160 microseconds and standard deviation 30 microseconds. We would like to simulate 20 samples of size 25 to test the alternative hypothesis of the mean response time different from 160 microseconds at the level of significance 5%. MTB > random 20 cl-c25; SUBC> normal 160 30. MTB ztest 160 30 cl-c25 a) (2 pts) In how many tests did you reject Ho? (b) (1 pt) Are the p-values the same for all 20 tests? (c) (2 pts) If the alternative was set to be Ha : μ < 160, would it increase or decrease the p-values for each of the 20 samples? Justify your answer. (d) (1 pt) In how many tests would you reject Ho for Ha : μ < 160?

Answer 1

Roger's Theory- Diffusion of Innovation deals with the idea of how an innovation finds its space among the individual participants and the institutions as a whole. Roger proposes that Innovation needs four key elements or participants to influence its spread among the stakeholders. The four elements are 1. The Innovation itself: Anything that solves a human problem or reduces the effort to reach output from the input is called innovation. It can be process innovation, a service innovation or a product innovation. It is meant to reduce the effort to achieve an end result. 2. The Communication Channel: The medium of propagation of innovation is very crucial as information flow is very crucial for an innovation to propagate and increase participation and hence increase the life cycle of innovation. 3. Time: An innovation needs to pass the test of time. For a change to be accepted by all, take time and iterations. The telephone required participation from all adopters for the network to be successful and it took a fair amount of time 4. Social System: Roger's suggests that external participants such as Mass media, government regulations, and internal stakeholders' family, relationships etc. determine the social system and everyone must participate for innovations to flourish.