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# Statistics assignment 2 (Example)

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﻿Name Tutor Institution Date Chapter8 1. A PGA (Professional Golf Association) tournament organizer is attempting to determine whether hole (pin) placement has a significant impact on the average number of strokes for the 13th hole on a given golf course. Historically the pin has been placed in the front right corner of the green and the historical mean number of strokes for the hole has been 4.25 with a standard deviation of 2 strokes and the distribution is assumed normal. On a particular day during the most recent golf tournament the organizer placed the hole (pin) in the back-left corner of the green. 64 golfers played the hole with the new placement on that day. Determine the probability that the sample average number of strokes is more than 4.50.  = = 0.25 / 0.25 =1 From z tables; P (Z > 1) = 1 - P (Z < 1) =1 coefficient. = 4 – = = = 0.9333 = 4– 0.9333) = 2.1333 2.1333 Estimating Y given X =5 hours 2.1333 = 6.8 Coefficient of correlation = There is a strong positive linear relationship between strength of the metal and heating time. Coefficient of Determination Therefore 65.33% variation in strength of the metal is attributed to the heating time. The remaining 34.67% may be due to other factors not accounted for in the model or the error term. MSE ESS = TSS – RSS TSS = = 520 – 320 = 200 R2 = RSS/TSS RSS = R2 × TSS = × 200 = 130.6667 ESS = TSS – RSS = 200 - 130.6667 = 69.3333 Standard Error Significance of H0 : = 0 verses H1: ≠ 0 S = = = 5.8244 T > 2.45 therefore we reject null hypothesis in favor of alternative hypothesis. is statistically significant. [...]

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12.12.2017

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