Solve it in Matlab

Prior experimentation has shown that the value of MFI for eNOS expression in rat fat pad endothelial cells exposed to normal blood flow is 1.9. In this experiment, n=18 rat fat pad endothelial cells were exposed to disturbed flow and the eNOS MFI was recorded.

2.403489

1.846371

2.048407

2.884661

3.403858

1.972348

2.57683

1.925953

2.464036

2.705998

1.490604

2.516062

2.891267

2.306154

4.189318

1.500159

1.352381

0.187639

1. Visualize the disturbed flow data in any manner you deem appropriate. Insert your figures here and explain why you chose to make the visualizations you did.
2. Test whether exposure to disturbed flow changed eNOS expression in these cells. Use =0.05.
3. Provide a 95% CI on the mean eNOS expression under disturbed flow conditions.
4. Create a figure that shows each eNOS expression data point and the confidence interval superimposed on one another.
5. Suppose a new study is considered to compare eNOS expression under disturbed flow with that expected in normal blood flow (i.e., 1.9). How many samples need to be taken to have a 90% chance of detecting a difference of 0.5 MFI if a two-sided test is used with a type I error of 0.05?
6. Write a MATLAB script to simulate running the experiment proposed in question 8 using the sample size you determined. Simulate the experiment 10,000 times and calculate the percentage of tests that rejected the null hypothesis. Is this ratio what you expected? Explain your reasoning.