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ind the confidence interva

ind the confidence interva

MATLAB: An Introduction with Applications
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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Find the confidence interval
Use the sample information = 40, o = 7, n= 13 to calculate the following confidence intervals for µ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from to (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence interval is from to (d) Describe how the intervals change as you increase the confidence level. O The interval gets narrower as the confidence level increases. O The interval gets wider as the confidence level decreases. The interval gets wider as the confidence level increases. The interval stays the same as the confidence level increases.
Transcribed Image Text:Use the sample information = 40, o = 7, n= 13 to calculate the following confidence intervals for µ assuming the sample is from a normal population. (a) 90 percent confidence. (Round your answers to 4 decimal places.) The 90% confidence interval is from to (b) 95 percent confidence. (Round your answers to 4 decimal places.) The 95% confidence interval is from to (c) 99 percent confidence. (Round your answers to 4 decimal places.) The 99% confidence interval is from to (d) Describe how the intervals change as you increase the confidence level. O The interval gets narrower as the confidence level increases. O The interval gets wider as the confidence level decreases. The interval gets wider as the confidence level increases. The interval stays the same as the confidence level increases.
Expert Solution
Step 1

As the population standard deviation is known, we will use z distribution.

The formula of the confidence interval is:

CI=x¯±z×σn

(a)

The value of z at 90% confidence level is 1.645, which can be found by using the standard normal table.

The confidence interval for 90% can be found as:

CI=x¯±z×σn=40±1.645×713=36.8063,43.1937

  • 36.8063 to 43.1937
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