mpc 006 - 01-02 inferential statistics

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๐‘ฅ

๐‘ฅ

โ€ข

โ€ข

๐‘ฅ ๐œ‡

๐‘ 2 ๐œŽ2

๐‘  ๐œŽ

๐‘ ๐‘ƒ

๐‘Ÿ ๐œŒ

๐‘Ÿ๐‘  ๐œŒ๐‘ 

๐‘› ๐‘

(๐‘ฅ) (๐œ‡)

๐’™

ฮผ ๐‘ฅ

๐‘ฅ

๐‘ฅ ยฑ ๐‘ง๐›ผ/2๐œŽ

๐‘›

๐‘ฅ ยฑ ๐‘ง๐›ผ/2๐œŽ

๐‘›

๐‘ฅ ยฑ ๐‘ง๐›ผ/2๐œŽ

๐‘›

๐‘ฅ ยฑ ๐‘ง๐›ผ/2๐œŽ

๐‘›

๐‘ฅ

๐‘ฏ๐’

The mean isโ€ฆ

๐‘ฏ๐’‚

The mean isโ€ฆ

โ€ฆ๐‘”๐‘Ÿ๐‘’๐‘Ž๐‘ก๐‘’๐‘Ÿ ๐‘กโ„Ž๐‘Ž๐‘› ๐‘œ๐‘Ÿ ๐‘’๐‘ž๐‘ข๐‘Ž๐‘™ ๐‘ก๐‘œ ๐‘˜

โ€ฆ๐‘Ž๐‘ก ๐‘™๐‘’๐‘Ž๐‘ ๐‘ก ๐‘˜

โ€ฆ๐‘›๐‘œ๐‘ก ๐‘™๐‘’๐‘ ๐‘  ๐‘กโ„Ž๐‘Ž๐‘› ๐‘˜

๐ป๐‘œ: ๐œ‡ โ‰ฅ ๐‘˜๐ป๐‘Ž: ๐œ‡ < ๐‘˜

โ€ฆ ๐‘™๐‘’๐‘ ๐‘  ๐‘กโ„Ž๐‘Ž๐‘› ๐‘˜

โ€ฆ๐‘๐‘’๐‘™๐‘œ๐‘ค ๐‘˜

โ€ฆ๐‘“๐‘’๐‘ค๐‘’๐‘Ÿ ๐‘กโ„Ž๐‘Ž๐‘› ๐‘˜

โ€ฆ ๐‘™๐‘’๐‘ ๐‘  ๐‘กโ„Ž๐‘Ž๐‘› ๐‘œ๐‘Ÿ ๐‘’๐‘ž๐‘ข๐‘Ž๐‘™ ๐‘ก๐‘œ ๐‘˜

โ€ฆ๐‘Ž๐‘ก ๐‘š๐‘œ๐‘ ๐‘ก ๐‘˜

โ€ฆ๐‘›๐‘œ๐‘ก ๐‘š๐‘œ๐‘Ÿ๐‘’ ๐‘กโ„Ž๐‘Ž๐‘› ๐‘˜

๐ป๐‘œ: ๐œ‡ โ‰ค ๐‘˜๐ป๐‘Ž: ๐œ‡ > ๐‘˜

โ€ฆ๐‘”๐‘Ÿ๐‘’๐‘Ž๐‘ก๐‘’๐‘Ÿ ๐‘กโ„Ž๐‘Ž๐‘› ๐‘˜

โ€ฆ๐‘Ž๐‘๐‘œ๐‘ฃ๐‘’ ๐‘˜

โ€ฆ๐‘š๐‘œ๐‘Ÿ๐‘’ ๐‘กโ„Ž๐‘Ž๐‘› ๐‘˜

โ€ฆ๐‘’๐‘ž๐‘ข๐‘Ž๐‘™ ๐‘ก๐‘œ ๐‘˜

โ€ฆ๐‘˜

โ€ฆ๐‘’๐‘ฅ๐‘Ž๐‘๐‘ก๐‘™๐‘ฆ ๐‘˜

๐ป๐‘œ: ๐œ‡ = ๐‘˜๐ป๐‘Ž: ๐œ‡ โ‰  ๐‘˜

โ€ฆ๐‘›๐‘œ๐‘ก ๐‘’๐‘ž๐‘ข๐‘Ž๐‘™ ๐‘ก๐‘œ ๐‘˜

โ€ฆ๐‘‘๐‘–๐‘“๐‘“๐‘’๐‘Ÿ๐‘’๐‘›๐‘ก ๐‘“๐‘Ÿ๐‘œ๐‘š ๐‘˜

โ€ฆ๐‘›๐‘œ๐‘ก ๐‘˜

โˆ’ ๐œ‡ ๐‘˜

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