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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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).
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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