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what is the minimum sample size required for the estimate? Round your answer up to the next integer.

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Question

A research scientist wants to know how many times per hour a certain strand of bacteria reproduces. He wants to construct the 90% confidence interval with a maximum error of 0.21 reproductions per hour. Assuming that the mean is 10 reproductions and the variance is known to be 6.25, what is the minimum sample size required for the estimate? Round your answer up to the next integer.

Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.

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