Question

The heights of all women in a large population follow a Normal distribution with unknown mean μμ and standard deviation σσ = 2.28 inches. A simple random sample of 80 women produced a mean height of x¯x¯ = 64.5 inches.In each question below, give answers to at least three decimal places.

1. Find a 90% confidence interval for μμ, using the above sample data:

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   Equation Editor <μ<<μ<

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2. Find a 95% confidence interval for μμ, using the above sample data:

   equation editor

   Equation Editor <μ<<μ<

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   Equation Editor
3. Find a 99% confidence interval for μμ, using the above sample data:

   equation editor

   Equation Editor <μ<<μ<

The heights of all men in a large population follow a Normal distribution with unknown mean μμ and standard deviation σσ = 8.53 cm. A simple random sample of 115 men produced a mean height of x¯x¯ = 162.7 cm.In each question below, give answers to at least two decimal places.

1. Find a 90% confidence interval for μμ, using the above sample data:

   equation editor

   Equation Editor <μ<<μ<

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   Equation Editor
2. Find a 95% confidence interval for μμ, using the above sample data:

   equation editor

   Equation Editor <μ<<μ<

   equation editor

   Equation Editor
3. Find a 99% confidence interval for μμ, using the above sample data:

   equation editor

   Equation Editor <μ<<μ<

Answer 1

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