The probability that they have a mean height between 62.9 inches and 64.0 inches is 93.18%.
We have given that,
Assume that women's heights are normally distributed with a mean of 63.6 inches and a standard deviation of 2.5 inches. if 90 women are randomly selected,
The formula to calculate the probability of an event is as follows. Probability(Event) = Favorable Outcomes/Total Outcomes
Therefore we get,
The probability=62.9/64
The probability=0.9818
Therefore the probability that they have a mean height between 62.9 inches and 64.0 inches
Probability = 0.9818×100
Probability =93.18%
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