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the mean and standard deviation of the heights of american women are 63.8 inches and 4 inches, respectively. find an approximate probability that the mean height of a randomly selected 100 american women is between 63 and 64 inches (round off to second decimal place).

Sagot :

The probability that the mean height of the American women is between 63 and 64 is 0.6687

The probability of an event occurring is defined by probability. There are numerous instances in real life where we may need to make predictions about how something will turn out. The outcome of an event may be known to us or unknown to us. When this happens, we say that there is a chance that the event will happen or not.

Mean = 63.8

S = 4

n = 100

P(63 <=X-bar<=64) = P(63.638/4/[tex]\sqrt{100}[/tex] < z < 64.638/4/[tex]\sqrt{100}[/tex])

=P(0.2 < z < 0.5)

=P(z<0.5) - P(z<-2)

0.6915 - 0.0228

0.6687

So, the probability is 0.6687

p-values from the z table

Learn more about probability:

https://brainly.com/question/11234923

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