1. Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys 50 entry level mechanical engineers and 58 entry level electrical engineers. Their mean salaries were $46,300 and $46,800, respectively. Their standard deviations were $3450 and $4230, respectively. Conduct a hypothesis test at the 5% level to determine if you agree that the mean entry- level mechanical engineering salary is lower than the mean entry-level electrical engineering salary. Let the subscript m = mechanical and e= electrical. In words, state what your random variable X- Xe represents. i. State the distribution to use for the test. (Enter your answer in the form z or tar where df is the degrees of freedom. Round your answer to two decimal places.) iii. ii. What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)

1. Mean entry-level salaries for college graduates with mechanical engineering degrees and electrical engineering degrees are believed to be approximately the same. A recruiting office thinks that the mean mechanical engineering salary is actually lower than the mean electrical engineering salary. The recruiting office randomly surveys 50 entry level mechanical engineers and 58 entry level electrical engineers. Their mean salaries were $46,300 and $46,800, respectively. Their standard deviations were $3450 and $4230, respectively. Conduct a hypothesis test at the 5% level to determine if you agree that the mean entry- level mechanical engineering salary is lower than the mean entry-level electrical engineering salary. Let the subscript m = mechanical and e= electrical. In words, state what your random variable X- Xe represents. i. State the distribution to use for the test. (Enter your answer in the form z or tar where df is the degrees of freedom. Round your answer to two decimal places.) iii. ii. What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)

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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

1. Mean entry-level salaries for college graduates with mechanical engineering degrees and
electrical engineering degrees are believed to be approximately the same. A recruiting
office thinks that the mean mechanical engineering salary is actually lower than the mean
electrical engineering salary. The recruiting office randomly surveys 50 entry level
mechanical engineers and 58 entry level electrical engineers. Their mean salaries
were $46,300 and $46,800, respectively. Their standard deviations
were $3450 and $4230, respectively. Conduct a hypothesis test at the 5% level to
determine if you agree that the mean entry- level mechanical engineering salary is lower
than the mean entry-level electrical engineering salary. Let the subscript m =
mechanical and e = electrical.
i.
In words, state what your random variable X- Xe represents
State the distribution to use for the test. (Enter your answer in the form z or taf where df is
the degrees of freedom. Round your answer to two decimal places.)
What is the test statistic? (If using the z distribution round your answer to two decimal
ii.
iii.
places, and if using the t distribution round your answer to three decimal places.)
What is the p-value? (Round your answer to four decimal places.)
Alpha (Enter an exact number as an integer, fraction, or decimal.)
iv.
V.

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