The previous mean amount of time spent using the lab computer was 63minutes. Find a 95% confidence interval for the true mean. Make a conclusion about the claim. If there are outliers, find intervals with and without the outliers present. ### Time Data in MinutesBelow is a tabulated dataset representing different time measurements in minutes. This dataset is structured into two columns for simplicity and ease of analysis.#### Table: Time (minutes)| Time (min.) | Time (min.) ||-------------|-------------|| 78 | 70 || 73 | 79 || 68 | 136 || 72 | 60 || 50 | 8 || 61 | 72 |### Description:This table contains two columns of time data, each representing minutes. Examples of applications of such a dataset include recording running times, machine operating times, response times, or any activities measured in minutes. - **Column 1**: Lists the following time values: 78, 73, 68, 72, 50, and 61.- **Column 2**: Lists the time values: 70, 79, 136, 60, 8, and 72.This data can be visualized using various graphical representations such as histograms, line graphs, or scatter plots to analyze trends, compare the distributions, or identify anomalies in the time measurements.

Name: The previous mean amount of time spent using the lab computer was 63mi
Uploaded: 2024-03-20T07:07:12.000Z
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Description: The previous mean amount of time spent using the lab computer was 63minutes. Find a 95% confidence interval for the true mean. Make a conclusion about the claim. If there are outliers, find intervals with and without the outliers present. ### Time

Given, 78 70 73 79 68 136 72 60 50 8 61 72

Answered: Time (min.) 78 70 73 79 68 136 72 60 50…

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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The previous mean amount of time spent using the lab computer was 63
minutes. Find a 95% confidence interval for the true mean. Make a conclusion about the claim. If there are outliers, find intervals with and without the outliers present.

### Time Data in Minutes

Below is a tabulated dataset representing different time measurements in minutes. This dataset is structured into two columns for simplicity and ease of analysis.

#### Table: Time (minutes)

| Time (min.) | Time (min.) |
|-------------|-------------|
| 78 | 70 |
| 73 | 79 |
| 68 | 136 |
| 72 | 60 |
| 50 | 8 |
| 61 | 72 |

### Description:

This table contains two columns of time data, each representing minutes. Examples of applications of such a dataset include recording running times, machine operating times, response times, or any activities measured in minutes.

- **Column 1**: Lists the following time values: 78, 73, 68, 72, 50, and 61.
- **Column 2**: Lists the time values: 70, 79, 136, 60, 8, and 72.

This data can be visualized using various graphical representations such as histograms, line graphs, or scatter plots to analyze trends, compare the distributions, or identify anomalies in the time measurements.

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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