A sociology professor has created a new assessment of political owareness. In us

Question

A sociology professor has created a new assessment of political owareness. In using the assessment, she has determined that political aworeness is normally distributed in college students with a population mean of 35.3 and a population standard deviation of 8.6 Using the z score found for the question above, what proportion of the population falls below a score of 22 on this test? Round your answer to four decimal places Numeric Answer Submit EOC 6.12 A sociology professor has creored a new assessment of political owareness, In using the assessment, she hos determined that political owareness is normally distributed in college students with a population mean of 35.3 and a population standard deviation of 8.6 hp 8

Explanation / Answer

Solution:-
6.11) Given population mean = 35.3, standard deviation = 8.6, x = 22

P(X < 22) = P(Z < (22 - 35.3)/8.6) = P(Z < -1.5465) = 0.0606

  
6.12) Given population mean = 35.3, standard deviation = 8.6

X = 43

z-score = (x-mean)/sd = (43 - 35.3)/8.6 = 0.8953

6.13)

P(X < 43) = P(Z < 0.8953) = 0.8159

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