Possible version:Tom thought for a moment and was about to agree, but he changed his mind. " I can't, BenYou know Aunt Polly wants the fence to be perfect. It has to be done very carefully.I don'tthink you can do it well enough. "He said to Ben, who looked a little discouraged. "Oh, Tom, I'llbe careful. Please let me have a try I would like to give you my apple if you agree, "requestedBen In the end, Tom gave up the brush with unwillingness on his face, but joy in his heartWhile ben worked at the fence in the hot sun Tom sat under a tree, eating the apple, andlanning how to get more help. many of his other friends walked past him. Each one came topllaugh, but remained to whitewash the fence because they all got interested in it. One by one, theywhitewashed the fence, each giving Tom a reward, big or small. If he hadn't run out ofwhitewash, Tom would have owned everything belonging to his friends. He had a most wonderful andidle Saturday, sitting in the shade and enjoying the rewards that his friends gave him
22.解:(1)由样本数据得(x;,t)(i=1,2,…,16)的相关(x;-x)(i-8.5)系数为r=2.780.18.0.212×√16×18.439由于|r|<0.25,因此可以认为这一天生产的零件尺寸不随生产过程的进行而系统地变大或变小(4分)(2)①由于x=9.97,s≈0.212,由样本数据可以看出抽取的第13个零件的尺寸在(x-3s,x 35)以外,因此需对当天的生产过程进行检查分)剔除离群值,即第13个数据,剩下数据的平均数为1g×(16×9.97-9.22)=10.0这条生产线当天生产的零件尺寸的均值的估计值为10.02x2=16×0.2122 16×9.972≈1591.134剔除第13个数据,剩下数据的样本方差为15×(1591.134-9.222-15×10.02)≈0.008,这条生产线当天生产的零件尺寸的标准差的估计值为√0.008≈0.09(12分)
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