题目
Raman is researching the heights of male giraffes in a particular region. Raman assumes that the heights of male giraffes in this region are normally distributed. He takes a random sample of 8 male giraffes from the region and measures the height, in metres, of each giraffe. These heights are as follows.
(a) Find a 90% confidence interval for the population mean height of male giraffes in this region.
Raman claims that the population mean height of male giraffes in the region is less than 5.9 metres.
(b) Test at the 2.5% significance level whether this sample provides sufficient evidence to support Raman’s claim.
题目中文翻译
Raman 正在研究某地区雄性长颈鹿的身高。Raman 假设该地区雄性长颈鹿的身高服从正态分布。他从该地区随机抽取 8 只雄性长颈鹿，并测量每只长颈鹿的身高，单位为米。这些身高如下。
(a) 求该地区雄性长颈鹿总体平均身高的 90% 置信区间。
Raman 声称该地区雄性长颈鹿的总体平均身高小于 5.9 米。
(b) 在 2.5% 显著性水平下，检验这个样本是否提供了足够证据支持 Raman 的声称。