Confidence intervals for a mean: Normal population (u80, o-10) Type%3Z (... Sample size=s CI Level Containing u Total Proportion 0.9 2163 2400 0.9012 60 70 Intervals 2301 to 2400 The following is a graph of Applets simulated confidence intervals a) The value of the hypothesized population mean lo =(Enter an integer) b) The total number of confidence intervals simmulated is, and the percent of these total intervals that contain the population mean is equal to%(keep two digits after decimal point) c) The percent of last 100 intervals that contain the population mean is equal to %(entr an interger) d) In the long run, the percent of all intervals that will contain the population mean is approximate equal to%(entr an interger)
Confidence intervals for a mean: Normal population (u80, o-10) Type%3Z (... Sample size=s CI Level Containing u Total Proportion 0.9 2163 2400 0.9012 60 70 Intervals 2301 to 2400 The following is a graph of Applets simulated confidence intervals a) The value of the hypothesized population mean lo =(Enter an integer) b) The total number of confidence intervals simmulated is, and the percent of these total intervals that contain the population mean is equal to%(keep two digits after decimal point) c) The percent of last 100 intervals that contain the population mean is equal to %(entr an interger) d) In the long run, the percent of all intervals that will contain the population mean is approximate equal to%(entr an interger)
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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Transcribed Image Text:The image shows a graph of simulated confidence intervals for a mean from a normal population with parameters \(\mu = 80\) and \(\sigma = 10\). The sample size is 5, and the simulation uses a Z-distribution.
**Graph Description:**
- The x-axis represents the range of sample intervals from 30 to 110.
- Each horizontal line represents a simulated confidence interval.
- The central vertical line marks the population mean \(\mu = 80\).
- Green intervals indicate those containing the true population mean.
- Red intervals indicate those not containing the true population mean.
**Table Summary:**
- **CI Level:** 0.9
- **Containing \(\mu\):** 2163
- **Total:** 2400
- **Proportion:** 0.9012
**Questions:**
a) The value of the hypothesized population mean \(\mu_0\) = \_\_ (Enter an integer).
b) The total number of confidence intervals simulated is \_\_, and the percent of these total intervals that contain the population mean is equal to \_\_% (keep two digits after the decimal point).
c) The percent of the last 100 intervals that contain the population mean is equal to \_\_% (enter an integer).
d) In the long run, the percent of all intervals that will contain the population mean is approximately equal to \_\_% (enter an integer).
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