Imagine that you are writing a grant proposal in which you plan to give a new, year-long professional development workshop to n = 16 middle school science teachers for one week (teachers will be randomly selected from schools in Seattle). At the end of the year, you plan to measure teachers' self-reported teaching self-efficacy using the TSE measure, which has a true mean of 50 (0 =50) and a population variance of 64 (2 = 64). You believe that your workshop will likely increase teachers' scores by 4 points (1 = 54).(c) Imagine you planned to increase your sample size to n = 64 (instead of 16). Compute the new standard error. Then repeat steps (i)-(iv) in part 4(a). (d) Examine your sketch in #4(c). i. What is your approximate power now (this is the shaded area)? ii. What is your approximate Type II error rate now? iii. What is your Type I error rate now