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.)
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
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7790832d-a932-49a1-82a9-9429fa66333c%2F1581b45e-d7f8-4d42-9da1-74a2a682b46a%2Fe389mnl_processed.png&w=3840&q=75)
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.)
- [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.)*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7790832d-a932-49a1-82a9-9429fa66333c%2F1581b45e-d7f8-4d42-9da1-74a2a682b46a%2Feb6fjmjs_processed.png&w=3840&q=75)
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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