A population of values has a normal distribution with
Find the probability that a single randomly selected value is between 184 and 205.1.
Write your answers as numbers accurate to 4 decimal places.
Skilled2020-10-27Added 86 answers
The mean is 198.8, standard deviation is 69.2, and sample size is 147.
The probability that a single randomly selected value is between 184 and 205.1 is,
The probability of z less than 0.091 can be obtained using the excel formula “=NORM.S.DIST(0.091,TRUE)”. The probability value is 0.5363.
The probability of z less than –0.214 can be obtained using the excel formula “=NORM.S.DIST(–0.214,TRUE)”. The probability value is 0.4153.
The required probability value is,
Thus, the probability that a single randomly selected value is between 184 and 205.1 is 0.1210.
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