设总体[img=101x27]1802d3b5d5550a8.png[/img],[img=36x26]1802d3b5ddae997.png[/img]未知,从总体中抽取容量为9的样本,测得样本均值[img=11x18]1802d3b5e57cf8a.png[/img]=1.56, 样本方差[img=16x22]1802d3b5ed7290b.png[/img]=0.81,取置信水平为95%,则以下哪个说法是正确的?(备用数据为:[img=101x22]1802d3b5f668aa5.png[/img][img=99x22]1802d3b5fec471f.png[/img][img=131x25]1802d3b606d1687.png[/img][img=138x25]1802d3b60f2b64a.png[/img][img=131x25]1802d3b616e44dc.png[/img][img=133x25]1802d3b624dd4d9.png[/img].)
A: μ的双侧置信区间为(0.8682,2.2518)
B: μ的单侧置信上限为2.11785
C: μ的双侧置信区间为(1.00215,2.11785)
D: μ的双侧置信区间为(0.972,2.148)
E: μ的双侧置信区间为(0.88134,2.23866)
F: μ的单侧置信上限为2.2518
G: μ的单侧置信上限为2.0535
H: μ的单侧置信上限为2.10993
A: μ的双侧置信区间为(0.8682,2.2518)
B: μ的单侧置信上限为2.11785
C: μ的双侧置信区间为(1.00215,2.11785)
D: μ的双侧置信区间为(0.972,2.148)
E: μ的双侧置信区间为(0.88134,2.23866)
F: μ的单侧置信上限为2.2518
G: μ的单侧置信上限为2.0535
H: μ的单侧置信上限为2.10993
举一反三
- 某类型元件的寿命X (以小时记)服从N(μ, 81),[img=11x18]1802d3c7291f68a.png[/img]未知。现随机抽测9个元件,测得样本均值为400,样本标准差为9,在置信水平为95%下,以下说法哪个是正确的? A: [img=11x18]1802d3c73100047.png[/img]的双侧置信区间为(394.12,405.88) B: [img=11x18]1802d3c73100047.png[/img]的单侧置信下限为395.07 C: [img=11x18]1802d3c73100047.png[/img]的单侧置信上限为404.94 D: [img=11x18]1802d3c73100047.png[/img]的双侧置信区间为(393.08,406.92) E: [img=11x18]1802d3c73100047.png[/img]的单侧置信下限为394.42 F: [img=11x18]1802d3c73100047.png[/img]的单侧置信上限为405.58 G: [img=11x18]1802d3c73100047.png[/img]的双侧置信区间为(393.21,406.79) H: [img=11x18]1802d3c73100047.png[/img]的单侧置信下限为394.50 I: [img=11x18]1802d3c73100047.png[/img]的单侧置信上限为405.50
- 设总体[img=101x27]18033e12676f9de.png[/img],[img=36x26]18033e1270720ee.png[/img]未知,从总体中抽取容量为9的样本,测得样本均值[img=11x18]18033e12799eff3.png[/img]=1.56, 样本方差[img=16x22]18033e128279d93.png[/img]=0.81,取置信水平为95%,则以下哪个说法是正确的?(备用数据为:[img=136x27]18033e128a58eae.png[/img][img=136x27]18033e129365326.png[/img][img=142x27]18033e129bdcc0b.png[/img][img=142x27]18033e12a7bcac7.png[/img][img=127x27]18033e12b5d525f.png[/img][img=127x27]18033e12be25b81.png[/img][img=133x27]18033e12c79de58.png[/img][img=133x27]18033e12d0a8ee1.png[/img]) A: [img=18x22]18033e12d8ee39d.png[/img]的双侧置信区间为(0.3695,2.9725) B: [img=18x22]18033e12d8ee39d.png[/img]的单侧置信上限为2.3710 C: [img=18x22]18033e12d8ee39d.png[/img]的双侧置信区间为(0.4179,2.3710) D: [img=18x22]18033e12d8ee39d.png[/img]的双侧置信区间为(0.3406,2.400) E: [img=18x22]18033e12d8ee39d.png[/img]的单侧置信上限2.9725 F: [img=18x22]18033e12d8ee39d.png[/img]的单侧置信上限0.4179 G: [img=18x22]18033e12d8ee39d.png[/img]的单侧置信上限2.4 H: [img=18x22]18033e12d8ee39d.png[/img]的单侧置信上限1.9489
- 某类型元件的寿命X(以小时记)服从[img=65x27]1802d3c77ce2e1f.png[/img],[img=11x18]1802d3c785a492a.png[/img]和[img=18x22]1802d3c78e0680c.png[/img]均未知。现随机抽测9个元件,测得样本均值为400,样本标准差为9,在置信水平为95%下,以下说法哪个是正确的? A: [img=11x18]1802d3c7971ed93.png[/img]的双侧置信区间为(393.08,406.92) B: [img=11x18]1802d3c7971ed93.png[/img]的单侧置信下限为394.42 C: [img=11x18]1802d3c7971ed93.png[/img]的单侧置信上限为405.58 D: [img=11x18]1802d3c7971ed93.png[/img]的双侧置信区间为(393.21,406.79) E: [img=11x18]1802d3c7971ed93.png[/img]的单侧置信下限为394.50 F: [img=11x18]1802d3c7971ed93.png[/img]的单侧置信上限为405.50 G: [img=11x18]1802d3c7971ed93.png[/img]的双侧置信区间为(394.12,405.88) H: [img=11x18]1802d3c7971ed93.png[/img]的单侧置信下限为395.07 I: [img=11x18]1802d3c7971ed93.png[/img]的单侧置信上限为404.94
- 从正态总体[img=65x27]1802d3c53b59586.png[/img]中取得样本容量为10的样本, 算得样本方差为4. 在置信水平为95%下,以下说法哪个是正确的? A: [img=18x22]1802d3c54490457.png[/img]的双侧置信区间为(1.89,13.33) B: [img=18x22]1802d3c54490457.png[/img]的单侧置信下限为2.13 C: [img=18x22]1802d3c54490457.png[/img]的单侧置信上限为10.83 D: [img=18x22]1802d3c54490457.png[/img]的双侧置信区间为(1.76,11.09) E: [img=18x22]1802d3c54490457.png[/img]的单侧置信下限为1.97 F: [img=18x22]1802d3c54490457.png[/img]的单侧置信上限为9.14 G: [img=18x22]1802d3c54490457.png[/img]的单侧置信下限为1.89 H: [img=18x22]1802d3c54490457.png[/img]的单侧置信下限为1.76 I: [img=18x22]1802d3c54490457.png[/img]的单侧置信上限为11.09 J: [img=18x22]1802d3c54490457.png[/img]的单侧置信上限为13.33
- 从正态总体[img=65x27]18033e1c750025b.png[/img]中取得样本容量为10的样本, 算得样本方差为4. 在置信水平为95%下,以下说法哪个是正确的? A: [img=18x22]18033e1c7d58033.png[/img]的双侧置信区间为(1.89,13.33) B: [img=18x22]18033e1c7d58033.png[/img]的单侧置信上限为10.83 C: [img=18x22]18033e1c7d58033.png[/img]的双侧置信区间为(1.76,11.09) D: [img=18x22]18033e1c7d58033.png[/img]的单侧置信上限为11.09 E: [img=18x22]18033e1c7d58033.png[/img]的单侧置信上限为9.14 F: [img=18x22]18033e1c7d58033.png[/img]的单侧置信上限为13.33