You have designed a new guidance system for minimally invasive endovascular surgery, which you believe will greatly reduce x-ray exposure. Current x-ray exposure during these operations is 1200...

You have designed a new guidance system for minimally invasive endovascular surgery, which you believe will greatly reduce x-ray exposure. Current x-ray exposure during these operations is 1200 Gy·cm2. You estimate that your new guidance system should be able to reduce this to 1000 Gy·cm2.From a small pilot study you estimate the standard deviation of your results to be 500 Gy·cm2. Use MATLAB to determine how many patients you would need to include in your experiment to test your new system using a significance level of 0.05 and a power of 90%.