设一个单一观测的样本 <img src="https://static.zxtiku.com/wangke/imgs/topic/74898353d10094aa84b15daa0950d6a0.jpg"/> 取自密度函数为 <img src="https://static.zxtiku.com/wangke/imgs/topic/7910ba420f6e6d5848f3f4e7820821c2.jpg"/> 的总体，对 <img src="https://static.zxtiku.com/wangke/imgs/topic/d8ab204845070eba3fb87c0d8c141977.jpg"/> 考虑统计假设:<img src="https://static.zxtiku.com/wangke/imgs/topic/c64b1153a1b57e997053b3ab1a67bfff.jpg"/>若其拒绝域的形式为 <img src="https://static.zxtiku.com/wangke/imgs/topic/42cf53f63b25d2201905883cb3e4f727.jpg"/>，试确定一个 <img src="https://static.zxtiku.com/wangke/imgs/topic/d7730ad7891aefd6e6c82f9341b84f9d.jpg"/>，使得犯第I、 II类错误的概率满足<img src="https://static.zxtiku.com/wangke/imgs/topic/642f981b441b42548f01d55fdf30da75.jpg"/>值取最小( )