Question

In: Statistics and Probability

A study of working actors looked at age and gender. One sample of 50 male actors...

A study of working actors looked at age and gender. One sample of 50 male actors had a mean age of 23 and a standard deviation of 2. The other sample included 50 female actors with a mean age of 24 and a standard deviation of 3. Estimate with 87% confidence the difference between the average ages of working male (μ1) and female (μ2) actors. Round answers to the nearest hundredth.
< μ1 − μ2<

Solutions

Expert Solution

This question can be solved by using the normal distribution method. Since sample size is greater than 30, the distribution curve would be normalized. The question has been solved below with necessary formulas and diagrams.

The difference value is negative because females have more mean age than male and we have subtracted female age from male. Sign is only for sense of difference.

orchestra answered 2 years ago
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