**Estimating the Sample Size for Movie Preview Times**Customers often arrive at a movie theater expecting the film to begin at the advertised time, only to experience several previews and ads beforehand. Many patrons find the preview duration excessively long. A preliminary sample by *The Wall Street Journal* indicated that the standard deviation of preview times was five minutes. This value is used as a planning estimate for answering the following questions:**a.** To estimate the population mean time for previews at movie theaters with a margin of error of 69 seconds, what sample size should be used? Assume a 95% confidence level.[Input box for answer]**b.** To estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used? Assume a 95% confidence level.[Input box for answer]

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Math

Statistics

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was five minutes. Use that as a planning value for the standard deviation in answering the following questions. a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 69 seconds, what sample size should be used? Assume 95% confidence. b. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used? Assume 95% confidence.

Customers arrive at a movie theater at the advertised movie time only to find that they have to sit through several previews and prepreview ads before the movie starts. Many complain that the time devoted to previews is too long. A preliminary sample conducted by The Wall Street Journal showed that the standard deviation of the amount of time devoted to previews was five minutes. Use that as a planning value for the standard deviation in answering the following questions. a. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 69 seconds, what sample size should be used? Assume 95% confidence. b. If we want to estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used? Assume 95% confidence.

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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Concept explainers

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.

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Question

**Estimating the Sample Size for Movie Preview Times**

Customers often arrive at a movie theater expecting the film to begin at the advertised time, only to experience several previews and ads beforehand. Many patrons find the preview duration excessively long. A preliminary sample by *The Wall Street Journal* indicated that the standard deviation of preview times was five minutes. This value is used as a planning estimate for answering the following questions:

**a.** To estimate the population mean time for previews at movie theaters with a margin of error of 69 seconds, what sample size should be used? Assume a 95% confidence level.

[Input box for answer]

**b.** To estimate the population mean time for previews at movie theaters with a margin of error of 1 minute, what sample size should be used? Assume a 95% confidence level.

[Input box for answer]

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