2.5 Meaning of Inferential Statistics 2.5.1 Estimation 2.5.2 Point Estimation 2.5.3 Interval Estimation 2.6 Hypothesis Testing 2.6.1 Statement of Hypothesis 2.6.2 Level of Significance 2.6.3 One Tail and Two Tail Test 2.7 Errors in Hypothesis Testing 2.7.1 Type I Error 2.7.2 Type II Error 2.7.3 Power of a Test 2.8 General Procedure for Testing A Hypothesis

11. 𝑥

14. 𝑥
•
•

15. 𝑥 𝜇
𝑠2
𝜎2
𝑠 𝜎
𝑝 𝑃
𝑟 𝜌
𝑟𝑠 𝜌𝑠
𝑛 𝑁

16. (𝑥) (𝜇)

29. 
𝒙

33. μ 𝑥
𝑥

39. 𝑥 ± 𝑧 𝛼/2
𝜎
𝑛

40. 𝑥 ± 𝑧 𝛼/2
𝜎
𝑛

41. 𝑥 ± 𝑧 𝛼/2
𝜎
𝑛

42. 𝑥 ± 𝑧 𝛼/2
𝜎
𝑛

43. 𝑥

70. 𝑯 𝒐
The mean is…
𝑯 𝒂
The mean is…
… 𝑔𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 𝑜𝑟 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜 𝑘
… 𝑎𝑡 𝑙𝑒𝑎𝑠𝑡 𝑘
… 𝑛𝑜𝑡 𝑙𝑒𝑠𝑠 𝑡ℎ𝑎𝑛 𝑘
𝐻 𝑜: 𝜇 ≥ 𝑘
𝐻 𝑎: 𝜇 < 𝑘
… 𝑙𝑒𝑠𝑠 𝑡ℎ𝑎𝑛 𝑘
… 𝑏𝑒𝑙𝑜𝑤 𝑘
… 𝑓𝑒𝑤𝑒𝑟 𝑡ℎ𝑎𝑛 𝑘
… 𝑙𝑒𝑠𝑠 𝑡ℎ𝑎𝑛 𝑜𝑟 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜 𝑘
… 𝑎𝑡 𝑚𝑜𝑠𝑡 𝑘
… 𝑛𝑜𝑡 𝑚𝑜𝑟𝑒 𝑡ℎ𝑎𝑛 𝑘
𝐻 𝑜: 𝜇 ≤ 𝑘
𝐻 𝑎: 𝜇 > 𝑘
… 𝑔𝑟𝑒𝑎𝑡𝑒𝑟 𝑡ℎ𝑎𝑛 𝑘
… 𝑎𝑏𝑜𝑣𝑒 𝑘
… 𝑚𝑜𝑟𝑒 𝑡ℎ𝑎𝑛 𝑘
… 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜 𝑘
… 𝑘
… 𝑒𝑥𝑎𝑐𝑡𝑙𝑦 𝑘
𝐻 𝑜: 𝜇 = 𝑘
𝐻 𝑎: 𝜇 ≠ 𝑘
… 𝑛𝑜𝑡 𝑒𝑞𝑢𝑎𝑙 𝑡𝑜 𝑘
… 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑡 𝑓𝑟𝑜𝑚 𝑘
… 𝑛𝑜𝑡 𝑘
− 𝜇 𝑘