A group of scientists collected some radiation readings (wavelength in nm) from two stars in a 3-start stellar system by using 7 observation panels. The readings (panel 1, panel 2, panel 3, panel 4, panel 5, panel 6, and panel 7) are as follows:

Star 1 : 37.773, 40.851, 30.107, 27.898, 33.982, 34.577, 40.822

Star 2: 48.996, 519.24, 56.168, 24.290, 33.696, 41.413, 35.101

Help the scientists with the following (use R programming - your answer should contain the required code segments):

1. Define two named vectors ( names should be Panel 1, Panel 2, etc.) capturing this data, one for each star.
2. Calculate the mean value for radiation emitted by each star based on all 7 readings.
3. Can you recognize any anomaly in the data that affects the mean value? Recalculate the mean values to arrive at a realistic conclusion.
4. The scientists believe the radiation emitted by the third star is close to the average of the two medians of Start 1 and Star 2 readings. Calculate the anticipated radiation from Star 3.
5. The scientists believe that the radiation wavelengths are proportional to the luminosity of the stars and that the standard deviation of the readings is proportional to the size of the stars. What could be the brightest star of the system? What could be the largest star of the system? Justify your answer

Dimension Introduction Discussion Description Background and context are clear and well- developed. The purpose/aim and organization of the submission are clearly articulated. The submission is linked to the objectives. There is a significant level of critical analysis and an excellent understanding of the topic. Examples were provided and supported with evidence. Arguments/findings are highly relevant to the Project, presented clearly and logically, and supported with evidence. All implications are presented, as well as relevant and logically described. The link between theory and practice is clearly and logically presented.