Use the accompanying Grade Point Averages data to find 90%, 95%, and 99% confidence intervals for the mean GPA. ### Academic Performance by Gender and Field of StudyPresented below is data summarizing Grade Point Averages (GPAs) for students based on their gender and field of study.#### Fields of Study and Corresponding GPAs1. **Engineering** - Male: 3.00 - Female: 3.17 - Male: 3.20 - Male: 3.51 - Male: 3.01 - Male: 3.722. **Business** - Male: 3.753. **Arts and Sciences** - Female: 3.50 - Female: 3.214. **Education** - Female: 3.445. **Nursing** - Female: 3.26 - Female: 3.48 - Female: 3.20 - Female: 3.20 - Female: 3.34This dataset showcases the distribution of academic performance across different fields and genders. The GPAs range from 3.00 to 3.75, reflecting varying levels of academic achievement within each discipline. ### Grade Point Averages Chart Below is a detailed chart displaying the Grade Point Averages (GPAs) of students categorized by gender and college:| Gender | College | GPA ||--------|----------------------|-----|| Female | Nursing | 3.67|| Female | Nursing | 3.25|| Female | Health Science | 3.28|| Female | Arts and Sciences | 3.13|| Female | Arts and Sciences | 2.68|| Female | Health Science | 3.85|| Female | Education | 3.45|| Male | Engineering | 3.14|| Female | Nursing | 3.40|| Female | Arts and Sciences | 3.61|| Male | Engineering | 3.87|| Female | Health Science | 3.70|| Female | Nursing | 3.36|| Female | Arts and Sciences | 3.72|| Female | Education | 3.80|#### Explanation:This table documents the GPAs of various students based on their gender and the college they are enrolled in. The colleges listed include Nursing, Health Science, Arts and Sciences, Education, and Engineering. The GPAs provide insight into the academic performance of the students in these specific fields. By examining this data, educators and analysts can gain valuable insights into the performance trends across different disciplines and gender distributions. This can further assist in identifying areas that may require additional academic support or resources.

Confidence interval : Confidence interval is a range of values it contains the true population…

Answered: Use the accompanying Grade Point…

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Use the accompanying Grade Point Averages data to find 90%, 95%, and 99% confidence intervals for the mean GPA.

### Academic Performance by Gender and Field of Study

Presented below is data summarizing Grade Point Averages (GPAs) for students based on their gender and field of study.

#### Fields of Study and Corresponding GPAs

1. **Engineering**
- Male: 3.00
- Female: 3.17
- Male: 3.20
- Male: 3.51
- Male: 3.01
- Male: 3.72

2. **Business**
- Male: 3.75

3. **Arts and Sciences**
- Female: 3.50
- Female: 3.21

4. **Education**
- Female: 3.44

5. **Nursing**
- Female: 3.26
- Female: 3.48
- Female: 3.20
- Female: 3.20
- Female: 3.34

This dataset showcases the distribution of academic performance across different fields and genders. The GPAs range from 3.00 to 3.75, reflecting varying levels of academic achievement within each discipline.

### Grade Point Averages Chart

Below is a detailed chart displaying the Grade Point Averages (GPAs) of students categorized by gender and college:

| Gender | College | GPA |
|--------|----------------------|-----|
| Female | Nursing | 3.67|
| Female | Nursing | 3.25|
| Female | Health Science | 3.28|
| Female | Arts and Sciences | 3.13|
| Female | Arts and Sciences | 2.68|
| Female | Health Science | 3.85|
| Female | Education | 3.45|
| Male | Engineering | 3.14|
| Female | Nursing | 3.40|
| Female | Arts and Sciences | 3.61|
| Male | Engineering | 3.87|
| Female | Health Science | 3.70|
| Female | Nursing | 3.36|
| Female | Arts and Sciences | 3.72|
| Female | Education | 3.80|

#### Explanation:

This table documents the GPAs of various students based on their gender and the college they are enrolled in. The colleges listed include Nursing, Health Science, Arts and Sciences, Education, and Engineering. The GPAs provide insight into the academic performance of the students in these specific fields.

By examining this data, educators and analysts can gain valuable insights into the performance trends across different disciplines and gender distributions. This can further assist in identifying areas that may require additional academic support or resources.

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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