Use the sample information= 40, 0 = 3, n= 13 to calculate the following confidence intervals for p 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. O The interval gets wider as the confidence level increases. O The interval stays the same as the confidence level increases.
Use the sample information= 40, 0 = 3, n= 13 to calculate the following confidence intervals for p 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. O The interval gets wider as the confidence level increases. O The interval stays the same as the confidence level increases.
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
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![### Calculating Confidence Intervals
Use the sample information \( \bar{x} = 40, \sigma = 3, n = 13 \) to calculate the following confidence intervals for \( \mu \) 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.
- \( \bigcirc \) The interval gets narrower as the confidence level increases.
- \( \bigcirc \) The interval gets wider as the confidence level decreases.
- \( \bigcirc \) The interval gets wider as the confidence level increases.
- \( \bigcirc \) The interval stays the same as the confidence level increases.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c3dc0b3-bb07-419f-b173-0b72e0af6370%2Fe444b35a-eced-4eb6-85da-3cc2124d7173%2Fzq07t1l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Calculating Confidence Intervals
Use the sample information \( \bar{x} = 40, \sigma = 3, n = 13 \) to calculate the following confidence intervals for \( \mu \) 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.
- \( \bigcirc \) The interval gets narrower as the confidence level increases.
- \( \bigcirc \) The interval gets wider as the confidence level decreases.
- \( \bigcirc \) The interval gets wider as the confidence level increases.
- \( \bigcirc \) The interval stays the same as the confidence level increases.
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