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If you show your solution process on a piece of paper, you m…

If you show your solution process on a piece of paper, you may be given partial credit even if your answer is different.The researcher believes that a reasonable measure of discipline is performance on a statistics test regarding absolute and consistent scores. Seven male statistics students and seven female statistics students were randomly selected, and their scores on a statistics test were observed.Females65​​10075​85​​4573​​95​Males​7580​95​​82​85​72​49When the researcher calculated the average, the variance, and the standard deviation of test scores for the male and female students separately, he/she obtained the following results:​​Females​Males​mean​76.871​76.871​variation​350.81​205.81​standard deviation​18.73​14.35Do you think that the data tend to support the hypothesis that female college students are more disciplined than male college students based on the researcher’s measurement? (3 points)Calculate the mean and standard deviation for adjusted data of both female and male by adding 20. (3 points)Compare the adjusted data’s mean and standard deviation to the original data’s mean and standard deviation. (3 points)Describe the effect on the mean and standard deviation of adding a constant (20) to a data set. (3 points)You can refer to the following formula to calculate standard deviation. s2 = ∑(xi-x)2 n-1 , s = s2,  x = ∑xin