Was the outcome of 5 women and 3 men was believable using 2 specific results from the data provided? • How does the mean number of female pilots from the data support the conclusion.• How does the percent of outcome with 5 or more females in your simulation support the conclusion. Percent of 5 or more females in the data = 0.075 Shape: Skewed Left, Skewed Right, Approximately Symmetric, Uniform, Bimodal11Skewed Left• Center: Use your calculator or website to find the Mean number of females selected to describe the center3.3Spread: Use your calculator or a website to find the Standard Deviation for the number of females selected to describe the centerPLU An airline has just finished training 25 pilots - 15 male and 10 female - to become captains. Unfortunately, only eight captain positions are available right now. Airlinemanagers announce that they will use a lottery to determine which pilots will fill the available positions. The names of all 25 pilots will be written on identical slips ofpaper. The slips will be placed in a hat, mixed thoroughly, and drawn out one at a time until all eight captains have been identified.A day later, managers announce the results of the lottery. Of the 8 captains chosen, 5 are female and 3 are male. Some of the male pilots who weren't selected suspectthat the lottery was not carried out fairly. One of these pilots asks your statistics class for advice about whether to file a grievance with the pilots' union.

Answered: Was the outcome of 5 women and 3 men…

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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Was the outcome of 5 women and 3 men was believable using 2 specific results from the data provided?

• How does the mean number of female pilots from the data support the conclusion.

• How does the percent of outcome with 5 or more females in your simulation support the conclusion.

Percent of 5 or more females in the data = 0.075

Shape: Skewed Left, Skewed Right, Approximately Symmetric, Uniform, Bimodal
11
Skewed Left
• Center: Use your calculator or website to find the Mean number of females selected to describe the center
3.3
Spread: Use your calculator or a website to find the Standard Deviation for the number of females selected to describe the center
P
LU

An airline has just finished training 25 pilots - 15 male and 10 female - to become captains. Unfortunately, only eight captain positions are available right now. Airline
managers announce that they will use a lottery to determine which pilots will fill the available positions. The names of all 25 pilots will be written on identical slips of
paper. The slips will be placed in a hat, mixed thoroughly, and drawn out one at a time until all eight captains have been identified.
A day later, managers announce the results of the lottery. Of the 8 captains chosen, 5 are female and 3 are male. Some of the male pilots who weren't selected suspect
that the lottery was not carried out fairly. One of these pilots asks your statistics class for advice about whether to file a grievance with the pilots' union.

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 + ...

Expert Solution

Step 1

Here in this question, it is given that an airline has just finished training 25 pilots - 15 males and 10 female - to become captains. Only eight captain positions are available. Now 8 pilots are randomly selected where 5 are female and 3 are male.

Now here we are using a left skewed distribution for number of female pilots to check if the number of female pilots selected is random are not.