A fair coin is flipped 100 times.
a. Describe the center, shape, and spread of the sampling distribution of the proportion of heads.
b. What conditions are satisfied that ensure your answers in part (a) are correct?
A)
Center (mean) = n*p
N = number of trials = 100
P = 0.5 (probability of single trial)
Mean = 100*0.5 = 50
Spread (standard deviation) = √n*p*(1-p) = 5
B)
Two conditions of normality must be satisfied
That is n*p and n*(1-p) should be greater than 5
N*p = 50 >5
N*(1-p) = 50 >5
Conditions are met, so by normal approximation
Shape is normal
Spread is 5
Center is 50
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