So in R, am i just plugging in the 0.5 as a variable or how would i go about solving part a.

1. Simulate one random sample with sample size 50 from /V(0.5, 1). You can use the following command to simulate data rnorm (50,0.5,1) (a) Now pretend you don't know the mean of the data is 0.5, Calculate 95% confidence interval for u. (b) Simulate 1000 random samples with the same setting, construction confidence intervals for each sample. (c) Calculate the proportion of confidence intervals that include the true mean