Statistic coursework Essay Example | Topics and Well Written Essays - 2500 words

Statistic coursework - Essay Example e) Assumptions The population is normally distributed The sample is randomly and independently selected. Question # 4 Distribution of leading digits using Ben ford's Law of distribution. Value of X Probability 1 0.301 2 0.176 3 0.125 4 0.097 5 0.079 6 0.067 7 0.058 8 0.051 9 0.046 Observed Values: Digit Frequency Proportions 1 31 0.344 2 14 0.155 3 9 0.1 4 4 0.044 5 7 0.077 6 3 0.033 7 6 0.066 8 9 0.1 9 7 0.077 Digit Observed Frequency Expected Frequency based on Benford's Law (Observed- expected) / expected. 1 31 27.09 0.564345 2 14 15.84 0.213737 3 9 11.25 0.45 4 4 8.73 2.562761 5 7 7.11 0.001702 6 3 6.03 1.522537 7 6 5.22 0.116552 8 9 4.59 4.237059 9 7 4.41 1.521111 11.189 a) Null Hypothesis Ho: p1= 0.301 and p2 = 0.176 and p3 = 0.125 and p4 = 0.097 and p5 = 0.079 and p6 = 0.067 and p7 = 0.058 and p8 = 0.051 and p9 = 0.046. Alternate Hypothesis Ha: At least one is different b) Test Static = (O-E) /E= 11.189 c) P- Value df = n-1 = 9-1 = 8 0.15