Original Problem: A research scholar wants to know how many times per hour a certain strand of virus reproduces. He wants to construct the 98% confidence interval with a maximum error of 0.17 reproductions per hour. Assuming that the mean is 10.3 reproductions and the variance is known to be 5.76, what is the minimum sample size required for the estimate? Round your answer up to the next integer.   (a)  In the Original Problem, if I change confidence level to 90% instead of 98%, keeping all other factors the same, the final answer to the Original Problem increases or decreases? (b)  In the Original Problem, if I change error level to 0.2 instead of 0.17, keeping all other factors the same, the final answer to the Original Problem increases or decreases? (c)  In the Original Problem, if I change variance to 6.25 (standard deviation 2.5) from variance 5.76, keeping all other factors the same, the final answer to the Original Problem increases or decreases?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Original Problem: A research scholar wants to know how many times per hour a certain strand of virus reproduces. He wants to construct the 98% confidence interval with a maximum error of 0.17 reproductions per hour. Assuming that the mean is 10.3 reproductions and the variance is known to be 5.76, what is the minimum sample size required for the estimate? Round your answer up to the next integer.

 

  1. (a)  In the Original Problem, if I change confidence level to 90% instead of 98%, keeping all other factors the same, the final answer to the Original Problem increases or decreases?

  2. (b)  In the Original Problem, if I change error level to 0.2 instead of 0.17, keeping all other factors the same, the final answer to the Original Problem increases or decreases?

  3. (c)  In the Original Problem, if I change variance to 6.25 (standard deviation 2.5) from variance 5.76, keeping all other factors the same, the final answer to the Original Problem increases or decreases?

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