Sample Mean Comparisons

Page 1

The graph has to be in range with the mean at 37.72 since the sample distribution of n = 35 has the same mean as the population.

Based on the standard deviation sigma/n^0.5 = 2.71, the skinnier distribution makes most sense

Page 2

Location of the score 40 on distribution relative to the mean 37.71 --> Requires calculation z score to normalize the score of 40

- avg. score = 40

- SE Mean(n=35)= 37.71

- SE Standard Error = 2.71

Z score(M=40) = (40-37.71)/2.71 = 0.84

The Bieber Tweeter's are 0.84 sigmas away from the mean

Z Table probability = 1-0.7995 = 0.2005

There is a chance of 20.05% of a Klout score above 40

Page 3

Scientific standardization measures of likely vs. unlikely

Find standard error (SE) for n = 250 and sigma 16.04

SE (std. deviation of sample) = 1.01

Z score = 2.24

Z table = 1-0.9881 = 0.0119 = 1.2%

Page 4

Experiment randomization of cloud scores as stated below:

640

789, 124, 521, 9, 982

65, 313, 821, 42, 59, 129, 952, 1023, 421, 777

Mean = 43,89

Mean = 47,65

Mean = 36,07