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denpristay [2]
3 years ago
11

10

Mathematics
2 answers:
Alexeev081 [22]3 years ago
6 0

Answer:

what are all these number for???

Step-by-step explanation:

Soloha48 [4]3 years ago
6 0

Answer:

where is the graphs

Step-by-step explanation:

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The average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 in
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Answer:

Probability that average height would be shorter than 63 inches = 0.30854 .

Step-by-step explanation:

We are given that the average height of 20-year-old American women is normally distributed with a mean of 64 inches and standard deviation of 4 inches.

Also, a random sample of 4 women from this population is taken and their average height is computed.

Let X bar = Average height

The z score probability distribution for average height is given by;

                Z = \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } ~ N(0,1)

where, \mu = population mean = 64 inches

           \sigma = standard deviation = 4 inches

           n = sample of women = 4

So, Probability that average height would be shorter than 63 inches is given by = P(X bar < 63 inches)

P(X bar < 63) = P( \frac{Xbar-\mu}{\frac{\sigma}{\sqrt{n} } } < \frac{63-64}{\frac{4}{\sqrt{4} } } ) = P(Z < -0.5) = 1 - P(Z <= 0.5)

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Hence, it is 30.85%  likely that average height would be shorter than 63 inches.

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