CI Level Containing µ Total Proportion 0.9 2163 2400 0.9012 50 60 70 100 Tio 80 Intervals 2301 to 2400 90 The following is a graph of Applets simulated confidence intervals a) The value of the hypothesized population mean Ho = (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
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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The image shows a graph of applet-simulated confidence intervals for a mean, with a normal population characterized by a mean (\( \mu = 80 \)), standard deviation (\( \sigma = 10 \)), and a sample size of 5. The Type is Z.

### Graph Details:
- **Title:** Confidence intervals for a mean: Normal population (\( \mu = 80 \), \( \sigma = 10 \)) Type=Z. Sample size=5
- **CI Level Containing \( \mu \):** 0.9
- **Total Intervals Simulated:** 2,400
- **Intervals Containing \( \mu \):** 2,163
- **Proportion:** 0.9012

The graph displays horizontal intervals centered around a vertical line at the hypothesized mean of 80. Each horizontal bar represents a confidence interval for one of the 2,400 samples. Green intervals contain the population mean (80), and red intervals do not. The intervals are compressed along the vertical axis and are labeled "Intervals 2301 to 2400" on the horizontal axis, with values ranging from 50 to 110.

### 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 decimal point)

c) The percent of 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 applet-simulated confidence intervals for a mean, with a normal population characterized by a mean (\( \mu = 80 \)), standard deviation (\( \sigma = 10 \)), and a sample size of 5. The Type is Z. ### Graph Details: - **Title:** Confidence intervals for a mean: Normal population (\( \mu = 80 \), \( \sigma = 10 \)) Type=Z. Sample size=5 - **CI Level Containing \( \mu \):** 0.9 - **Total Intervals Simulated:** 2,400 - **Intervals Containing \( \mu \):** 2,163 - **Proportion:** 0.9012 The graph displays horizontal intervals centered around a vertical line at the hypothesized mean of 80. Each horizontal bar represents a confidence interval for one of the 2,400 samples. Green intervals contain the population mean (80), and red intervals do not. The intervals are compressed along the vertical axis and are labeled "Intervals 2301 to 2400" on the horizontal axis, with values ranging from 50 to 110. ### 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 decimal point) c) The percent of 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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The sample size is 5.

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