Assume the average price for a movie is $10.05. Assume the population standard deviation is $0.42 and that a sample o 34 theaters was randomly selected. Complete parts a through d below. a. Calculate the standard error of the mean. = $ ox: (Round to four decimal places as needed.)

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Assume the average price for a movie is $10.05. Assume the population standard deviation is $0.42, and that a sample of 34 theaters was randomly selected. Complete parts a through d below.

---

a. Calculate the standard error of the mean.

\[
\sigma_{\bar{x}} = \$ \_\_
\]

(Round to four decimal places as needed.)
Transcribed Image Text:Assume the average price for a movie is $10.05. Assume the population standard deviation is $0.42, and that a sample of 34 theaters was randomly selected. Complete parts a through d below. --- a. Calculate the standard error of the mean. \[ \sigma_{\bar{x}} = \$ \_\_ \] (Round to four decimal places as needed.)
**Identify the Symmetrical Interval for 95% of the Sample Means**

This exercise involves calculating the symmetrical interval that contains 95% of the sample means from a population with the following parameters:

- Population Mean (\(\mu\)): 42
- Population Standard Deviation (\(\sigma\)): 6
- Sample Size (\(n\)): 36

To find this interval, you may need to refer to the cumulative standardized normal distribution tables provided via the links:

- [Cumulative Standardized Normal Table - Page 1](#)
- [Cumulative Standardized Normal Table - Page 2](#)

The calculation involves determining the margin of error using the standard error and z-scores for a 95% confidence interval.

**Enter the calculated interval:**

\[ 
\Box \leq \bar{x} \leq \Box 
\]

*(Round your answers to two decimal places as needed.)*
Transcribed Image Text:**Identify the Symmetrical Interval for 95% of the Sample Means** This exercise involves calculating the symmetrical interval that contains 95% of the sample means from a population with the following parameters: - Population Mean (\(\mu\)): 42 - Population Standard Deviation (\(\sigma\)): 6 - Sample Size (\(n\)): 36 To find this interval, you may need to refer to the cumulative standardized normal distribution tables provided via the links: - [Cumulative Standardized Normal Table - Page 1](#) - [Cumulative Standardized Normal Table - Page 2](#) The calculation involves determining the margin of error using the standard error and z-scores for a 95% confidence interval. **Enter the calculated interval:** \[ \Box \leq \bar{x} \leq \Box \] *(Round your answers to two decimal places as needed.)*
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