Activity 6 - More Motivating Questions: In this problem, we willbe exploring the distribution of sample means, x-bar when samplesof various sizes are taken from another population. For this, youwill need to upload the "UCWages" data into RStudio.

1. Construct a histogram of the "Total Wages" data inside theUCWages file and compute the mean and standard deviation of thisdataset. Sketch and label your results below.

2. Now, let x-bar be the mean of a sample of n = 10 wages takenfrom this dataset. Use the replicate() function to simulate 10,000values of . Make a histogram of your data (use 40 breaks) andcompute its mean and standard deviation. Sketch and label yourresults below.

3. Lastly, let x-bar be the mean of a sample of n = 30 wagestaken from this dataset. Use the replicate() function to simulate10,000 values of 2. Make a histogram of your data (use 40 breaks)and compute the mean and standard deviation. Sketch and label yourresults below.

4. How do all your results compare?