一个有限总体按不重置抽样方式随机抽取样本量为[tex=0.643x1.286]ZsZs11iKEvfmzDIurZth8g==[/tex]的样本。如果总体单位数[tex=3.571x1.286]EOl4w613gINsd5EUgqanCQ==[/tex]标准差[tex=2.143x1.214]/bsgxcYI7EgomzN0VcMC9w==[/tex]当样本量从[tex=1.929x1.0]au2olChJIABR52MosDCmMw==[/tex] 增加到 [tex=2.429x1.0]vJDD9VrXk7JdJAlMtghZwA==[/tex]时, 抽样标准误美有何变化?

2022-05-26

一个有限总体按不重置抽样方式随机抽取样本量为[tex=0.643x1.286]ZsZs11iKEvfmzDIurZth8g==[/tex]的样本。如果总体单位数[tex=3.571x1.286]EOl4w613gINsd5EUgqanCQ==[/tex]标准差[tex=2.143x1.214]/bsgxcYI7EgomzN0VcMC9w==[/tex]当样本量从[tex=1.929x1.0]au2olChJIABR52MosDCmMw==[/tex] 增加到 [tex=2.429x1.0]vJDD9VrXk7JdJAlMtghZwA==[/tex]时, 抽样标准误美有何变化?

答案：

解:对于有限总体，在不重置抽样的条件下，抽样标准误差[tex=8.143x3.429]/6lwPpFyK5sDAJFRqbePNXG0clNV/GlDmntvM17t4jLzoeiT7wyiO3o+WUNFMcb21NbnQojBGwhbvg/hudmkvR+latIkseKnpNNOokLsCgg=[/tex]当[tex=1.929x1.0]au2olChJIABR52MosDCmMw==[/tex]时,[tex=17.857x3.429]/6lwPpFyK5sDAJFRqbePNXG0clNV/GlDmntvM17t4jLzoeiT7wyiO3o+WUNFMcb21NbnQojBGwhbvg/hudmkvUlcF6aJQWf6Jcb3QfUWOKOCg03xF9+3qQQAnfDJwqn1ApsZyCtiebEBfVKvG9uoEZSa3xH3Mt7S3g24P9NnRksgedzt1KUMDIfqdfviiMnE[/tex] ；当 [tex=2.429x1.0]vJDD9VrXk7JdJAlMtghZwA==[/tex] 时， [tex=18.5x3.429]/6lwPpFyK5sDAJFRqbePNXG0clNV/GlDmntvM17t4jLzoeiT7wyiO3o+WUNFMcb21NbnQojBGwhbvg/hudmkvUlcF6aJQWf6Jcb3QfUWOKMlwxatrdtjAMV9N0eKfVCqcSw4yqf6u4FtgSw4Z+qx5eu8kGLJQ4DMq7MdFXGcmpIfB4Ng5aB59mHbPD8T2mim[/tex] 。所以, 当样本量从[tex=1.929x1.0]au2olChJIABR52MosDCmMw==[/tex] 增加到 [tex=2.429x1.0]vJDD9VrXk7JdJAlMtghZwA==[/tex] 时, 抽样标准误差变小。

举一反三

内容

0
总体分布正态，总体方差[tex=1.0x1.214]+33urkkz3/Nyr4sGrqM3/w==[/tex]未知，从总体中随即抽取容量为[tex=1.0x1.286]0MzHtCQbgnSzLwp5O36txg==[/tex]的小样本，此样本的标准差为[tex=0.5x1.286]r65Ank8E1dV+BtDCLn5S+w==[/tex]。用样本平均数估计总体平均数的置信区间为(). 未知类型：{'options': ['[tex=10.571x1.5]NGVugV9+AEk3oU1SP4svONYhjaZjT5KDqFXUMPVLLk0sgRqTwCMDC3+E5U9OBjZWwC4iF+zgaxwd9cjJIVT+qw==[/tex]', '[tex=10.857x1.5]FAiqofCwiUaPO7pG6z2Kuv89JhbHUCWaw8AEns21SQIup6M247e1teKDDPGj7yjCFzeA7F2BOm+M9mkE6Nb8WTlcxP/NIAnhdJPmeGSvF3vyMGVvGUQ7+U0oJFLeQCIU[/tex]', '[tex=16.357x2.429]NGVugV9+AEk3oU1SP4svOH5GtjoN6ajzvwGKglXhV0h6S9edXdMBes7musq9qLDzbi+5SbMCw1m2qQ2+vT2NMOn8Eoz4+vC4oz/Imo9MmpH8fDJxbZpl7wmfJVqFSxs1[/tex]', '[tex=15.714x2.429]ib9fAZyhfZrrKokwAkpDXT2bo2HfWssr/WtFjZU4zJCtu9rDA0cmLXdbChG9ce8nPYmgSFK91BkIVBSxGRLC3bY1wPv6GM2krwvWleHvGXqIK3ipK5nCAK6xqlSmyjaN[/tex]'], 'type': 102}
1
总体分布正态，总体方差[tex=1.0x1.214]+33urkkz3/Nyr4sGrqM3/w==[/tex]未知，从总体中随即抽取容量为[tex=1.0x1.286]0MzHtCQbgnSzLwp5O36txg==[/tex]的小样本，此样本的标准差为[tex=0.5x1.286]r65Ank8E1dV+BtDCLn5S+w==[/tex]。用样本平均数估计总体平均数的置信区间为(). 未知类型：{'options': ['[tex=10.571x1.5]NGVugV9+AEk3oU1SP4svONYhjaZjT5KDqFXUMPVLLk0sgRqTwCMDC3+E5U9OBjZWwC4iF+zgaxwd9cjJIVT+qw==[/tex]', '[tex=10.857x1.5]FAiqofCwiUaPO7pG6z2Kuv89JhbHUCWaw8AEns21SQIup6M247e1teKDDPGj7yjCFzeA7F2BOm+M9mkE6Nb8WTlcxP/NIAnhdJPmeGSvF3vyMGVvGUQ7+U0oJFLeQCIU[/tex]', '[tex=16.357x2.429]NGVugV9+AEk3oU1SP4svOH5GtjoN6ajzvwGKglXhV0h6S9edXdMBes7musq9qLDzbi+5SbMCw1m2qQ2+vT2NMOn8Eoz4+vC4oz/Imo9MmpH8fDJxbZpl7wmfJVqFSxs1[/tex]', '[tex=15.714x2.429]ib9fAZyhfZrrKokwAkpDXT2bo2HfWssr/WtFjZU4zJCtu9rDA0cmLXdbChG9ce8nPYmgSFK91BkIVBSxGRLC3bY1wPv6GM2krwvWleHvGXqIK3ipK5nCAK6xqlSmyjaN[/tex]'], 'type': 102}
2
总体分布正态，总体方差[tex=1.0x1.214]+33urkkz3/Nyr4sGrqM3/w==[/tex]未知，从总体中随即抽取容量为[tex=1.0x1.286]0MzHtCQbgnSzLwp5O36txg==[/tex]的小样本，此样本的标准差为[tex=0.5x1.286]r65Ank8E1dV+BtDCLn5S+w==[/tex]。用样本平均数估计总体平均数的置信区间为(). 未知类型：{'options': ['[tex=10.571x1.5]NGVugV9+AEk3oU1SP4svONYhjaZjT5KDqFXUMPVLLk0sgRqTwCMDC3+E5U9OBjZWwC4iF+zgaxwd9cjJIVT+qw==[/tex]', '[tex=10.857x1.5]FAiqofCwiUaPO7pG6z2Kuv89JhbHUCWaw8AEns21SQIup6M247e1teKDDPGj7yjCFzeA7F2BOm+M9mkE6Nb8WTlcxP/NIAnhdJPmeGSvF3vyMGVvGUQ7+U0oJFLeQCIU[/tex]', '[tex=16.357x2.429]NGVugV9+AEk3oU1SP4svOH5GtjoN6ajzvwGKglXhV0h6S9edXdMBes7musq9qLDzbi+5SbMCw1m2qQ2+vT2NMOn8Eoz4+vC4oz/Imo9MmpH8fDJxbZpl7wmfJVqFSxs1[/tex]', '[tex=15.714x2.429]ib9fAZyhfZrrKokwAkpDXT2bo2HfWssr/WtFjZU4zJCtu9rDA0cmLXdbChG9ce8nPYmgSFK91BkIVBSxGRLC3bY1wPv6GM2krwvWleHvGXqIK3ipK5nCAK6xqlSmyjaN[/tex]'], 'type': 102}
3
总体分布正态，总体方差[tex=1.0x1.214]+33urkkz3/Nyr4sGrqM3/w==[/tex]未知，从总体中随即抽取容量为[tex=1.0x1.286]0MzHtCQbgnSzLwp5O36txg==[/tex]的小样本，此样本的标准差为[tex=0.5x1.286]r65Ank8E1dV+BtDCLn5S+w==[/tex]。用样本平均数估计总体平均数的置信区间为(). 未知类型：{'options': ['[tex=10.571x1.5]NGVugV9+AEk3oU1SP4svONYhjaZjT5KDqFXUMPVLLk0sgRqTwCMDC3+E5U9OBjZWwC4iF+zgaxwd9cjJIVT+qw==[/tex]', '[tex=10.857x1.5]FAiqofCwiUaPO7pG6z2Kuv89JhbHUCWaw8AEns21SQIup6M247e1teKDDPGj7yjCFzeA7F2BOm+M9mkE6Nb8WTlcxP/NIAnhdJPmeGSvF3vyMGVvGUQ7+U0oJFLeQCIU[/tex]', '[tex=16.357x2.429]NGVugV9+AEk3oU1SP4svOH5GtjoN6ajzvwGKglXhV0h6S9edXdMBes7musq9qLDzbi+5SbMCw1m2qQ2+vT2NMOn8Eoz4+vC4oz/Imo9MmpH8fDJxbZpl7wmfJVqFSxs1[/tex]', '[tex=15.714x2.429]ib9fAZyhfZrrKokwAkpDXT2bo2HfWssr/WtFjZU4zJCtu9rDA0cmLXdbChG9ce8nPYmgSFK91BkIVBSxGRLC3bY1wPv6GM2krwvWleHvGXqIK3ipK5nCAK6xqlSmyjaN[/tex]'], 'type': 102}
4
总体分布正态，总体方差[tex=1.0x1.214]+33urkkz3/Nyr4sGrqM3/w==[/tex]未知，从总体中随即抽取容量为[tex=1.0x1.286]0MzHtCQbgnSzLwp5O36txg==[/tex]的小样本，此样本的标准差为[tex=0.5x1.286]r65Ank8E1dV+BtDCLn5S+w==[/tex]。用样本平均数估计总体平均数的置信区间为(). 未知类型：{'options': ['[tex=10.571x1.5]NGVugV9+AEk3oU1SP4svONYhjaZjT5KDqFXUMPVLLk0sgRqTwCMDC3+E5U9OBjZWwC4iF+zgaxwd9cjJIVT+qw==[/tex]', '[tex=10.857x1.5]FAiqofCwiUaPO7pG6z2Kuv89JhbHUCWaw8AEns21SQIup6M247e1teKDDPGj7yjCFzeA7F2BOm+M9mkE6Nb8WTlcxP/NIAnhdJPmeGSvF3vyMGVvGUQ7+U0oJFLeQCIU[/tex]', '[tex=16.357x2.429]NGVugV9+AEk3oU1SP4svOH5GtjoN6ajzvwGKglXhV0h6S9edXdMBes7musq9qLDzbi+5SbMCw1m2qQ2+vT2NMOn8Eoz4+vC4oz/Imo9MmpH8fDJxbZpl7wmfJVqFSxs1[/tex]', '[tex=15.714x2.429]ib9fAZyhfZrrKokwAkpDXT2bo2HfWssr/WtFjZU4zJCtu9rDA0cmLXdbChG9ce8nPYmgSFK91BkIVBSxGRLC3bY1wPv6GM2krwvWleHvGXqIK3ipK5nCAK6xqlSmyjaN[/tex]'], 'type': 102}