Consider a normal population with an unknown population standard deviation. A random sample results in x−x− = 47.50 and s2 = 27.04. [You may find it useful to reference the t table.]a. Compute the 90% confidence interval for μ if x−x− and s2 were obtained from a sample of 15 observations. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.) b. Compute the 90% confidence interval for μ if x−x− and s2 were obtained from a sample of 23 observations. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.) c. Use your answers to discuss the impact of the sample size on the width of the interval.multiple choiceThe bigger sample size will lead to a larger interval width and therefore a more precise interval.The bigger sample size will lead to a smaller interval width and therefore a more precise interval.

It is given that sample mean is 47.50 and the sample variance is 27.04.

Answered: Consider a normal population with an…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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Consider a normal population with an unknown population standard deviation. A random sample results in x−x− = 47.50 and s² = 27.04. [You may find it useful to reference the t table.]

a. Compute the 90% confidence interval for μ if x−x− and s² were obtained from a sample of 15 observations. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.)

b. Compute the 90% confidence interval for μ if x−x− and s² were obtained from a sample of 23 observations. (Round intermediate calculations to at least 4 decimal places. Round "t" value to 3 decimal places and final answers to 2 decimal places.)

c. Use your answers to discuss the impact of the sample size on the width of the interval.

multiple choice

The bigger sample size will lead to a larger interval width and therefore a more precise interval.
The bigger sample size will lead to a smaller interval width and therefore a more precise interval.

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