The heights of kindergarten children are approximately normally distributed with the following. (Give your answers correct to four decimal places.) 14 47 and a = 2.3 inches (a) If an individual kindergarten child is selected at random, what is the probability that he or she has a height between 45.5 and 48.5 inches? 0.4844 (b) A classroom of 16 of these children is used as a sample. What is the probability that the class mean x is between 45.5 and 48.5 inches? 0.991 (c) If an individual kindergarten child is selected at random, what is the probability that he or she is taller than 48.2 inches? 0 (d) A classroom of 16 of these kindergarten children is used as a sample. What is the probability that the class mean x is greater than 48.2 inches? 0.0183
The heights of kindergarten children are approximately normally distributed with the following. (Give your answers correct to four decimal places.) 14 47 and a = 2.3 inches (a) If an individual kindergarten child is selected at random, what is the probability that he or she has a height between 45.5 and 48.5 inches? 0.4844 (b) A classroom of 16 of these children is used as a sample. What is the probability that the class mean x is between 45.5 and 48.5 inches? 0.991 (c) If an individual kindergarten child is selected at random, what is the probability that he or she is taller than 48.2 inches? 0 (d) A classroom of 16 of these kindergarten children is used as a sample. What is the probability that the class mean x is greater than 48.2 inches? 0.0183
Transcribed Image Text:The heights of kindergarten children are approximately normally distributed with the following. (Give your answers correct to four decimal places.)
μ = 47 and σ = 2.3 inches
(a) If an individual kindergarten child is selected at random, what is the probability that he or she has a height between 45.5 and 48.5 inches?
X
0.4844
(b) A classroom of 16 of these children is used as a sample. What is the probability that the class mean x is between 45.5 and 48.5 inches?
0.991
(c) If an individual kindergarten child is selected at random, what is the probability that he or she is taller than 48.2 inches?
0
(d) A classroom of 16 of these kindergarten children is used as a sample. What is the probability that the class mean x is greater than 48.2 inches?
0.0183
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