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enot [183]
3 years ago
11

. A recent report in a women magazine stated that the average age for women to marry in the United States is now 25 years of age

, and that the standard deviation is assumed to be 3.2 years. A sample of 50 U.S. women is randomly selected. Find the probability that the sample mean age for 50 randomly selected women to marry is at most 24 years.
Mathematics
1 answer:
Setler [38]3 years ago
3 0

Answer: 0.0136

Step-by-step explanation:

Given : Mean : \mu=25

Standard deviation : \sigma=3.2

Sample size : n=50

The formula to calculate the z-score :-

z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}

For x = 24

z=\dfrac{24-25}{\dfrac{3.2}{\sqrt{50}}}=-2.21

The p-value = P(z\leq-2.21)= 0.0135526\approx0.0136

Hence, the probability that the sample mean age for 50 randomly selected women to marry is at most 24 years = 0.0136

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