A study investigating the relationship between age and annual medical expenses r

Question

A study investigating the relationship between age and annual medical expenses randomly samples 400 individuals in a city. It is hoped that the sample will have a similar mean age as the entire population. Complete parts a and b below. a. If the standard deviation of the ages of all individuals in the city is sigma = 19, find the probability that the mean age of the individuals sampled is within one year of the mean age for an individuals in the city. The probability is (Round to three decimal places as needed.)

Explanation / Answer

We need to calculate

P(-Sqrt(400)/19<Z<Sqrt(400)/19))

P(-1.05263<Z<1.05263)

= 0.707

So, answer is 0.707

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