u work for a company that sells paint. You have a new machine that fills paint cans, and you have kept ack of the mass

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u work for a company that sells paint. You have a new machine that fills paint cans, and you have kept ack of the mass of 100 cans (units are kilograms) of paint that have been filled by this new machine. Yo ant to investigate whether the mass of the cans is approximately normally distributed. he mass of each can is displayed in the table below. 3.57 3.61 3.61 3.63 3.64 3.65 3.66 3.66 3.66 3.67 3.67 3.67 3.68 3.68 3.69 3.69 3.7 3.7 3.71 3.71 3.71 3.72 3.72 3.73 3.73 3.73 3.73 3.74 3.74 3.75 3.75 3.75 3.76 3.77 3.77 3.77 3.77 3.77 3.78 3.78 3.78 3.78 3.79 3.79 3.79 3 .8 3 .8 3.81 3.81 3.82 3.82 3.82 3.82 3.82 3.82 3.83 3.83 3.84 3.84 3.84 3.84 3.84 3.84 3.84 3.84 3.85 3.86 3.86 3.86 3.86 3.87 3.87 3.87 3 .88 3 .8 8 3 .88 3 .88 3 .8 8 3.89 3.89 hs 3.89 3.89 3.89 3.89 3.9 3.9 3.9 3.9 3.9 3.91 3.92 3.92 3.92 3.95 3.95 3.95 3.98 3.98 3.98 4.02 he mean of these 100 cans is 3.803, and the standard deviation is 0.096. ote that the data has been sorted for you. Count how many of these 100 cans are: /ithin 1 standard deviation of the mean: Within 2 standard deviations of the mean: Within 3 standard deviations of the mean: comment on whether these counts above provide evidence for or against the mass of the cans being approximately normally distributed. Note: This answer will be manually scored so your grade will not b inal until checked