7Since the margin of error of the estimate of the difference ?1 − ?2 allows ---Select--- both positive and negative, only negative, or only positive estimates, the mean expected salary for electrical engineering majors ---Select--- is likely less than, cannot be said to be different from, or is likely greater than the mean for computer science majors. As a group, students majoring in engineering disciplines have the highest salary expectations, followed by those studying computer science fields, according to the results of a study. To compare the starting salaries of college graduates majoring in electrical engineering and computer science, random samples of 60 recent college graduates in each major were selected and the following information obtained:| Major | Mean ($) | SD ||-------------------------|----------|------|| Electrical Engineering | 62,332 | 12,100 || Computer Science | 57,965 | 13,230 |**(a)** Find a point estimate for the difference in the average starting salaries (in dollars) of college students majoring in electrical engineering and computer science. (Use electrical engineering – computer science.)- Point Estimate: $ ___What is the 95% margin of error (in dollars) for your estimate? (Round your answer to two decimal places.)- Margin of Error: $ ___**(b)** Based upon the results in part (a), do you think that there is a significant difference in the average starting salaries for electrical engineers and computer scientists? Explain.Since the margin of error of the estimate of the difference $ \mu_1 - \mu_2 $ allows [Select option] estimates, the mean expected salary for electrical engineering majors [Select option] the mean for computer science majors. ---This exercise guides students through statistical analysis of salary data for two fields, providing an opportunity to apply concepts such as point estimates and margins of error to real-world data.

For Electrical Engineering : x¯1 = 62332 , s1 = 12100 , n1 = 60 For Computer Science : x¯2 = 57965…

Answered: As a group, students majoring in…

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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Since the margin of error of the estimate of the difference ?1 − ?2 allows
---Select--- both positive and negative, only negative, or only positive
estimates, the mean expected salary for electrical engineering majors
---Select--- is likely less than, cannot be said to be different from, or is likely greater than the mean for computer science majors.

As a group, students majoring in engineering disciplines have the highest salary expectations, followed by those studying computer science fields, according to the results of a study. To compare the starting salaries of college graduates majoring in electrical engineering and computer science, random samples of 60 recent college graduates in each major were selected and the following information obtained:

| Major | Mean ($) | SD |
|-------------------------|----------|------|
| Electrical Engineering | 62,332 | 12,100 |
| Computer Science | 57,965 | 13,230 |

**(a)** Find a point estimate for the difference in the average starting salaries (in dollars) of college students majoring in electrical engineering and computer science. (Use electrical engineering – computer science.)

- Point Estimate: $ ___

What is the 95% margin of error (in dollars) for your estimate? (Round your answer to two decimal places.)

- Margin of Error: $ ___

**(b)** Based upon the results in part (a), do you think that there is a significant difference in the average starting salaries for electrical engineers and computer scientists? Explain.

Since the margin of error of the estimate of the difference $ \mu_1 - \mu_2 $ allows [Select option] estimates, the mean expected salary for electrical engineering majors [Select option] the mean for computer science majors.

---

This exercise guides students through statistical analysis of salary data for two fields, providing an opportunity to apply concepts such as point estimates and margins of error to real-world data.

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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