Question: R studio: using the library nortest to perform these tests. (a) Plot a histogram of the shoulder data using a number of breaks that you

R studio: using the library nortest to perform these tests.

(a) Plot a histogram of the shoulder data using a number of breaks that you think is appropriate. Draw the density of a normal distribution with the same mean and variance over the histogram for comparison.

(b) Use lillie.test, cvm.test, and ad.test to test whether or not this data is from a normal distribution. What do you conclude?

(d)calculate the mean for the male subjects and the mean for the female subjects. Then, subtract these means from the data points so that we move the two populations on top of each other. (This is like taking the residuals from an ANOVA model.) Try the normality tests on this new set of data. What do you conclude?

Data.txt contains two column

Shoulder,Gender 106.2,Male 110.5,Male 115.1,Male 104.5,Male 107.5,Male 119.8,Male 123.5,Male 120.4,Male 111,Male 119.5,Male 117.1,Male 123.5,Male 116.5,Male 113,Male 107.5,Male 112,Male 112.2,Male 120,Male 109,Male 118.5,Male 116,Male 111,Male 117.7,Male 123.9,Male 120.6,Male 129.5,Male 115,Male 116,Male 107.8,Male 100.2,Male 113,Male 117.9,Male 112.5,Male 110.5,Male 112,Male 104,Male 114.8,Male 108,Male 111.2,Male 118.3,Male 115.2,Male 129.9,Male 112.9,Male 112.2,Male 117.1,Male 118.7,Male 109.2,Male 128.1,Male 113.3,Male 108.4,Male 118.7,Male 126.3,Male 124.2,Male 126.7,Male 103.3,Male 101.2,Male 104.3,Male 113.2,Male 121.9,Male 113.1,Male 108.5,Male 113.9,Male 112.6,Male 110.2,Male 108.7,Male 104,Male 115.2,Male 111.9,Male 127,Male 111.2,Male 122,Male 114.5,Male 109.5,Male 110.8,Male 118.8,Male 108,Male 114.3,Male 105.4,Male 115,Male 119.5,Male 130,Male 113.3,Male 113.2,Male 106.9,Male 113.8,Male 117.3,Male 124.2,Male 123,Male 117.8,Male 118.8,Male 112,Male 113,Male 116,Male 112.8,Male 125,Male 108.3,Male 108.2,Male 113,Male 115,Male 123,Male 120.2,Male 114,Male 102.9,Male 112.5,Male 104.5,Male 111.3,Male 117.2,Male 112.8,Male 104.8,Male 117.7,Male 107.7,Male 125.2,Male 109.1,Male 122.6,Male 117.3,Male 109.1,Male 116.7,Male 124.9,Male 118.6,Male 108.8,Male 121.9,Male 117.3,Male 115,Male 134.8,Male 113.8,Male 119.4,Male 117.9,Male 127.3,Male 118.8,Male 122.4,Male 111.5,Male 113.2,Male 115.3,Male 122.5,Male 114.4,Male 112.8,Male 112.2,Male 119.4,Male 108.4,Male 122.4,Male 128.8,Male 118,Male 116.5,Male 120.4,Male 123.1,Male 117.2,Male 113,Male 109.4,Male 105.7,Male 119.7,Male 118,Male 104.3,Male 114.1,Male 119,Male 113.8,Male 118,Male 116,Male 108.3,Male 129.2,Male 109.2,Male 124.3,Male 122.6,Male 122.4,Male 114.9,Male 111.1,Male 126,Male 115.5,Male 124.7,Male 125.3,Male 118.2,Male 124.3,Male 118.3,Male 122.3,Male 116.5,Male 123,Male 117.6,Male 117.5,Male 117.3,Male 114.5,Male 122.9,Male 115.5,Male 116.1,Male 121.6,Male 131.6,Male 124.5,Male 115.6,Male 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99.2,Female 104.7,Female 98.9,Female 98.5,Female 102.2,Female 100.2,Female 85.9,Female 99.8,Female 93.3,Female 107.3,Female 90,Female 101.5,Female 105.1,Female 101,Female 91.9,Female 112.1,Female 98.2,Female 102.5,Female 98.4,Female 96.8,Female 103.9,Female 92.7,Female 105,Female 94,Female 101.5,Female 92,Female 108.5,Female 93.8,Female 99.8,Female 100.3,Female 101.5,Female 94.7,Female 103.1,Female 94.5,Female 97.1,Female 98,Female 102.4,Female 109.1,Female 94.7,Female 98.2,Female 101.5,Female 96.6,Female 106.1,Female 100.1,Female 105.3,Female 99.8,Female 103.9,Female 111,Female 99,Female 102.5,Female 105.6,Female 99.5,Female 106.5,Female 104.1,Female 99.7,Female 106.6,Female 97.2,Female 100.8,Female 100.7,Female 99.1,Female 108.9,Female 109.8,Female 99.5,Female 100.5,Female 97.4,Female 105,Female 102.9,Female 93.9,Female 114.2,Female 95.9,Female 98.7,Female 91.2,Female 105.1,Female 102.3,Female 93.1,Female 101.7,Female 105,Female 96.4,Female 103.5,Female 99.8,Female 87,Female 105.2,Female 102.1,Female 101.3,Female 99.6,Female 99.4,Female 99.4,Female 99,Female 108.2,Female 96.4,Female 101.4,Female 98.2,Female 100.6,Female 108.4,Female 100.8,Female 94.8,Female 108.2,Female 110.7,Female 102.6,Female 98.1,Female 92,Female 98.6,Female 96.1,Female 107.7,Female 95.4,Female 99.3,Female 115.2,Female 96.7,Female 109,Female 95.1,Female 108.4,Female 98.2,Female 99.7,Female 94.4,Female 127.1,Female 94.9,Female 98.9,Female 106.4,Female 102.2,Female 110.3,Female 107.3,Female 95,Female 115.6,Female 99.3,Female 93.1,Female 94.9,Female 100,Female 98.6,Female 107.2,Female 98.3,Female 92.4,Female 93,Female 99.5,Female 92.8,Female 95.9,Female 96.1,Female 98.5,Female 103.8,Female 105,Female 100.2,Female 99.1,Female 107.6,Female 104,Female 108.4,Female 99.3,Female 91.9,Female 107.1,Female 100.5,Female

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