Use the specified values of assigned Confidence Level  95% and assigned Margin of Error ± 3 points. Then use the appropriate formula to calculate a sample size to meet those criteria. In order to use the equation for determining sample size “n” for a population mean estimate, the equation uses σ but the true value of σ will not be known so you will need to identify a reasonable working value to calculate an appropriate n. You will simulate conducting a pilot survey of the first small (npilot = 30) number of data points in your list and use this to calculate a rough working estimate of σ. Do not be confused that this is the true σ, it is just a preliminary working estimate purely for the purpose of determining your full sample size. Show how you calculated your working value and clearly interpret your result in brief one-line statement. Now calculate you full sample size (n). Provide the data values you used for your pilot and clearly show how you calculated your full sample size. Note that the data points from the pilot survey will also be included in your full survey data is:

115,95,93,104,102,86,113,112,94,93,98,137,95,89,93,97,91,82,98,125,118,100,99,113,87,95,90,108,91,85,105,73,101,104,86,107,112,71,95,75,94,103,100,103,

93,100,100,92,114,105,93,86,92,83,67,117,109,97,120,110,103,81,102,91,116,96,94,91,110,115,96,106,107,83,73,82,83,99,93,93,90,104,100,87,121,129,102,94,90,110,113,151,101,91,105,110,115,118,107,80,94,108,99,99,91,117,75,106,81,103,114,81,111,104,90,104,125,69,96,101,86,111,60,89,103,125,82,76,112,93,116,113,89,78,138,81,101,107,91,105,92,107,105,124,106,124,105,117,117,91,95,124,75,130,116,107,104,104,91,86,71,110,93,110,114,116,99,136,95,131,106,92,113,122,106,114,106,67,82,113,81,91,109,117,99,102,132,108,105,107,82,106,114,80,79,112,102,87,121,92,80,89,105,98,115,72,103,90,126,122,116,93,98,93,108,99,99,125,104,112,107,95,113,85,113,111,76,112,108,82,99,92,100,104,114,81,93,106,98,92,89,127,74,84,101,90,100,97,90,116,111,116,116,83,94,93,106,154,98,113,104,84,110,62,103,120,114,87,80,88,105,106,115,106,76,100,81,120,102,91,95,78,81,88,115,107,115,115,102,88,129,123,108,102,108,97,117,109,94,100