In an environmental impact study for a new airport, the noise level of various jets was measured just seconds after their wheels left the ground. The jets were either wide-bodied or narrow-bodied. The noise levels in decibels (dB) are recorded for 15 wide-bodied jets and 12 narrow-bodied jets (use data_5). Do the two types of jets have different mean noise levels?data 5'WideBodied' 'NarrowBodied'109.5 131.4107.3 126.8105 114.1117.3 126.9105.4 108.2113.7 122121.7 106.9109.2 116.3108.1 115.5106.4 111.6104.6 124.5110.5 116.2110.9 111 112.4 ### Data OverviewThis educational text presents numerical data related to two categories: 'WideBodied' and 'NarrowBodied'. The data is structured into two columns, each representing a separate category. Here are the detailed values for each:#### 'WideBodied' Category- 109.5- 107.3- 105- 117.3- 105.4- 113.7- 121.7- 109.2- 108.1- 106.4- 104.6- 105.4- 110.9- 111- 112.4#### 'NarrowBodied' Category- 131.4- 126.8- 114.1- 126.9- 108.2- 122- 106.9- 116.3- 115.5- 111.6- 124.5- 116.2### ExplanationThere are no graphs or diagrams in this data set; it is purely numerical. This data could potentially reflect measurements, performance metrics, or any other quantitative attributes related to the two categories. Further analysis may include calculating statistical parameters such as mean, median, or standard deviation to better understand the distribution and differences between the 'WideBodied' and 'NarrowBodied' categories.

Name: In an environmental impact study for a new airport, the noise level of
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Description: In an environmental impact study for a new airport, the noise level of various jets was measured just seconds after their wheels left the ground. The jets were either wide-bodied or narrow-bodied. The noise levels in decibels (dB) are recorded for 15

Let μ1 denotes the population mean noise level for wide-bodied jets, and μ2 denotes the population mean noise level for narrow-bodied jets. The test is whether two types of jets have different mean noise levels or not. The hypothesis is, Null hypothesis: H0:μ1-μ2=0 Alternative hypothesis: Ha:μ1-μ2≠0 The test statistic and P-value is obtained by using EXCEL. The software procedure is given below: Enter the data. Select Data > Data Analysis >t-Test: Two-Sample Assuming Equal Variances > OK. Enter Variable 1 Range as Business Majors. Enter Variable 2 Range as Engineering Majors. Enter Hypothesized Mean Difference as 0. Mark Labels in First Row. Click OK. The output using EXCEL is as follows: From the output, the test statistic is -3.3478, and the P-value for two-tail test is 0.0026.Decision rule: If P-value≤α, then reject the null hypothesis. Otherwise, do not reject the null hypothesis. Conclusion: Consider the level of significance as 0.05. The P-value (0.0026) is less than the level of significance (0.05). Based on decision rule, rejected the null hypothesis. Thus, the two types of jets have different mean noise levels.

Answered: In an environmental impact study for a…

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Author:Amos Gilat

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In an environmental impact study for a new airport, the noise level of various jets was measured just seconds after their wheels left the ground. The jets were either wide-bodied or narrow-bodied. The noise levels in decibels (dB) are recorded for 15 wide-bodied jets and 12 narrow-bodied jets (use data_5). Do the two types of jets have different mean noise levels?

data 5

'WideBodied' 'NarrowBodied'
109.5 131.4
107.3 126.8
105 114.1
117.3 126.9
105.4 108.2
113.7 122
121.7 106.9
109.2 116.3
108.1 115.5
106.4 111.6
104.6 124.5
110.5 116.2
110.9
111
112.4

### Data Overview

This educational text presents numerical data related to two categories: 'WideBodied' and 'NarrowBodied'. The data is structured into two columns, each representing a separate category. Here are the detailed values for each:

#### 'WideBodied' Category
- 109.5
- 107.3
- 105
- 117.3
- 105.4
- 113.7
- 121.7
- 109.2
- 108.1
- 106.4
- 104.6
- 105.4
- 110.9
- 111
- 112.4

#### 'NarrowBodied' Category
- 131.4
- 126.8
- 114.1
- 126.9
- 108.2
- 122
- 106.9
- 116.3
- 115.5
- 111.6
- 124.5
- 116.2

### Explanation
There are no graphs or diagrams in this data set; it is purely numerical. This data could potentially reflect measurements, performance metrics, or any other quantitative attributes related to the two categories. Further analysis may include calculating statistical parameters such as mean, median, or standard deviation to better understand the distribution and differences between the 'WideBodied' and 'NarrowBodied' categories.

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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