Ch7_selected_Hypothesis_Testing

Ch7_selected_Hypothesis_Testing - HYPOTHESIS TESTING 7.16...

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CHAPTER 7 HYPOTHESIS TESTING 7.16 H 0 : μ = 31.5 ; H 1 : μ 31.5 n = 100 x = 29.8 s = 6.6; z = - 2.575 . The p -value is approximately 0.01 Reject H 0 at α = 0.05 (and almost at α = .01). 7-18 H 0 : μ = 5 H 1 : μ 5 α = .05 n = 120 x = 2.3 s = 1.5; z = - 19.72 Reject H 0 at α = .05 and at smaller α levels. Average miles traveled per day is probably smaller than 5. Changes in service may be necessary. 7.20 H 0 : μ = 4.3 H 1 : μ 4.3 n = 50 x = 3.8 s = 1.1 α = .05; Reject H 0 at any α ( p -value = 0.1454). 7.23 H 0 : μ = 27 H 1 : μ 27 n = 43 s = 4.954 x = 24.53 α = .05; Critical value for right side: - 1.96 z = - 3.269. p -value = .0011. Reject H 0 , average staff age is under 27 years old. 24 H 0 : μ = 0 H 1 : μ 0; n = 13 x = 3.1 s =1. t t = 11.177 The p -value is very small. Reject H 0 . Inclusion in the index likely increases average stock return (at least initially). 26 H 0 : μ = 2.5 H 1 : μ 2.5 n = 20 x = 2.3 σ = 0.8 Use z because the population is normal and σ is known. z = - 1.118 Do not reject H 0 ( p -value = 0.2636). 28 H 0 : p = 0.42 H 1 : p 0.42 n = 550 x = 219 p ˆ = 219/550 = 0.39818use α = .01; z = 550 / ) 58 )(. 42 (. 42 . 39818 . - = - 1.037; Do not reject H 0 ( p -value = 0.2998). 32 H 0 : u 7% H 1 : u < 7% n = 41 s = 2.9225 x = 2.405 α = .01; z = - 10.07 Reject H 0 , Americans do not save enough 36 H 0 : p 0.17 H 1 : p > 0.17 n = 2,000 x = 381 p ˆ = 381/2,000 = 0.1905 use
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