Hello, here is the question I need help with. I would appreciate it if you could show ALL work to get to the answer.

Show all work! You are designing a study to test the null hypothesis that u = 0 versus the alternative that u is positive. Assume o = 10. Suppose that it would be important to detect the alternative that u = 2. Perform power calculations to determine how large a sample size you need to detect this alternative with power of at least .80. Use a significance level of .05. Answer algebraically or perform power calculations for a variety of sample sizes to find the appropriate sample size