Consider an x distribution with standard deviation ? = 45. (a) If specifications for a research project require the standard error of the corresponding x distribution to be 5, how large does the sample size need to be? find n (b) If specifications for a research project require the standard error of the corresponding x distribution to be 1, how large does the sample size

Consider an x distribution with standard deviation ? = 45. (a) If specifications for a research project require the standard error of the corresponding x distribution to be 5, how large does the sample size need to be? find n (b) If specifications for a research project require the standard error of the corresponding x distribution to be 1, how large does the sample size

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question

Consider an x distribution with standard deviation ? = 45.

(a) If specifications for a research project require the standard error of the corresponding x distribution to be 5, how large does the sample size need to be? find n

(b) If specifications for a research project require the standard error of the corresponding x distribution to be 1, how large does the sample size need to be? find n

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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