某商场每百元投资每周的利润X(单位:元)服从正态分布N(u,0.04),现随机抽取9周的利润,并计算得平均利润为0.2,试求的置信度为0.95的置信区间.为使的置信度为0.95的置信区间长度不超过0.2,则至少应随机抽取多少周的利润才能达到?(附:u(下标0.025)=1.96)
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