MATH 399N Week 6 Homework Solutions: → Spring 2017

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Q. For the same sample​ statistics, which level of confidence would produce the widest confidence​ interval? Explain your reasoning.

A. 99% bc as the level of confidence increases zc increases.

 

Q. Construct the confidence interval for the population mean μ.C=0.90, x=7.7(mean)​, σ=0.6, and n=43

A. (7.55, 7.85)

* use http://www.socscistatistics.com/confidenceinterval/Default3.aspx*


Q. Find the minimum sample size n needed to estimate μ for the given values of​ c, σ​, and E.

c=0.90​, σ=7.1​, and E=2

Assume that a preliminary sample has at least 30 members.

  1. N=34

½(1-0.90)=0.05

use this to find the value that corresponds http://sampson.byu.edu/courses/z2p2z-calculator.html
1.645

(1.645*7.1/2)^2= 35

1.645*7.1=11.6795

11.6795/2=5.83975

5.83975^2=34.1 round to nearest whole number 35

 

People were polled on how many books they read the previous year. How many subjects are needed to estimate the number of books read the previous year within one book with 99​% confidence? Initial survey results indicate that σ=14.4 books.

Q. 99% confidence interval requires how many subjects?

 

...……………………………………………………………………………Continue

 

School / College / University / Term Date
Institution
Chamberlain College of Nusing
Term / Date
→ Spring 2017

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