Jayla is given the model N(361, 18) for a set of 75 data values and wants to determine if a normal model would be a good fit for her set What are the - sigma; plus/minus 1 * sigma and - sigma + 1sigma values for her set? How many data points should she expect to fall within the and values ?
Given the normal model N(361, 18) for a set of 75 data values, we can determine the various sigma values:
-1 sigma value: 361 - 18 = 343
+1 sigma value: 361 + 18 = 379
Within 1 sigma of the mean (343 to 379), we would expect approximately 68% of the data points to fall within this range. This means Jayla should expect approximately 51 data points to fall within the range of 343 to 379.