Construct a 90% confidence interval of the population mean age for the college students in Example #5 with the sample size increased to 30 students. Compare your answer with Example #5 (picture).a. Identify n, x̅, ?, and zc, and find E.b. Find the left and right endpoints of the confidence interval.c. Interpret the results and compare them with Example #5. EXAMPLE #5Problem: A college admissions director wishes to estimate the mean age ofall students currently enrolled. In a random sample of 20 students, the meanage is found to be 22.9 years. From past studies, the standard deviation isknown to be 1.5 years, and the population is normally distributed. Constructa 90% confidence interval of the population mean age.Solution: Using n = 20, x ,22.9 = = 1.5, andZc = 1.645, the margin of error at the 90% confidence1.5√20σlevel is E= Zc-1.645= .≈ 0.6.42

We have to find a...n , x̄, zc and E b. Find the left and right endpoints of the confidence…

Construct a 90% confidence interval of the population mean age for the college students in Example #5 with the sample size increased to 30 students. Compare your answer with Example #5 (picture). a. Identify n, x̅, ?, and zc, and find E. b. Find the left and right endpoints of the confidence interval. c. Interpret the results and compare them with Example #5.

Construct a 90% confidence interval of the population mean age for the college students in Example #5 with the sample size increased to 30 students. Compare your answer with Example #5 (picture). a. Identify n, x̅, ?, and zc, and find E. b. Find the left and right endpoints of the confidence interval. c. Interpret the results and compare them with Example #5.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

Construct a 90% confidence interval of the population mean age for the college students in Example #5 with the sample size increased to 30 students. Compare your answer with Example #5 (picture).

a. Identify n, x̅, ?, and z_c, and find E.
b. Find the left and right endpoints of the confidence interval.
c. Interpret the results and compare them with Example #5.

EXAMPLE #5
Problem: A college admissions director wishes to estimate the mean age of
all students currently enrolled. In a random sample of 20 students, the mean
age is found to be 22.9 years. From past studies, the standard deviation is
known to be 1.5 years, and the population is normally distributed. Construct
a 90% confidence interval of the population mean age.
Solution: Using n = 20, x ,22.9 = = 1.5, and
Zc = 1.645, the margin of error at the 90% confidence
1.5
√20
σ
level is E= Zc-
1.645= .
≈ 0.6.
42

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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