Questions 1 and 2 refer to the following scenario: In a factory which produces a particular electronic component, they wish to estimate 3;: the pro portion of components which are awed. A random sample of 200 components is taken, and it is found that 15 of the components are awed. 1. Find the upper condence limit of an 85% condence interval for p. Ans wer: 2. If we test the hypothesis H0 : 3) = 0.05 versus H1 : p 7i [1.051 what is the px-"alue Answer: 3. The lifespans of lightemitting diodes are known to be exponentially dist.ributed._ with a mean lifespan of 12 years. Suppose that 45 diodes are selected at random. What is the probability that the average lifespan for this sample is between 11.5 and 12.3 years? Questions 6 and 7 refer to the following scenario: Let u denote the mean height of Andean flamingos. The heights are known to be normally distributed. In a sample of 6 flamingos, we find an average height of 100 cm with a standard deviation of 3.5 cm. 6. What is the upper confidence limit of an 80% confidence interval for ? Answer: 2 7. Using this data as a pilot study, estimate the sample size needed to construct a 99% confidence interval to estimate / within 0.5 cm