Chapter7.5_7.6 lecture notes

Chapter7.5_7.6 lecture notes - Chapter 7.5 . 1. Tests of...

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Unformatted text preview: Chapter 7.5 . 1. Tests of Ho: = (1) H : = known , and { X normal or n>29}. Test statistic : z= n X / - . (2) H : = 0 , unknown , n>29 . Test statistic : z= n S X / - . Alternative Hypothesis Reject H if P value < 0 z < -z Pr(Z < z) > 0 z > z Pr(Z > z) 0 |z| > z /2 Pr(|Z| > |z|)=2Pr(Z>|z|) (3) H : = 0 , unknown and X normal, (n<30) Test statistic : t= n S X / - (t is observed value) Alternative Reject H if P value < 0 t < - t ,n-1 P(T n-1 < t) > 0 t > t , n-1 P(T n-1 > t) 0 |t|>t /2,n-1 2P(T n-1 >|t|) (4) H : = 0 , If X not normal and n<30 -- consult a statistician. EXAMPLE: Suppose we are interested in knowing the mean number of days per week that students use a parking facility has changed. In the past years we had =2.8 days per week. We have reason to believe that the distribution of the number of days per week used per student has normal distribution....
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