Gender: Randomly Chosen? A large community college district has 1000 teachers, of whom 50 % are men and 50 % are women. In this district, administrators are promoted from among the teachers. There are currently 50 administrators, and 70 % of these administrators are men. a. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of male administrators will be 70 % or more? b. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of female administrators will be 30 % or less? c. How are part a and part b related? d. Do your answers suggest that it is reasonable to believe the claim that the administrators have been selected randomly from the teachers? Answer yes or no, and explain your answer.
Gender: Randomly Chosen? A large community college district has 1000 teachers, of whom 50 % are men and 50 % are women. In this district, administrators are promoted from among the teachers. There are currently 50 administrators, and 70 % of these administrators are men. a. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of male administrators will be 70 % or more? b. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of female administrators will be 30 % or less? c. How are part a and part b related? d. Do your answers suggest that it is reasonable to believe the claim that the administrators have been selected randomly from the teachers? Answer yes or no, and explain your answer.
Solution Summary: The author calculates the approximate probability of the percentage of male administrators being 70% or more. The sample proportion is stackrelp=0.70.
Gender: Randomly Chosen? A large community college district has 1000 teachers, of whom
50
%
are men and
50
%
are women. In this district, administrators are promoted from among the teachers. There are currently 50 administrators, and
70
%
of these administrators are men.
a. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of male administrators will be
70
%
or more?
b. If administrators are selected randomly from the faculty, what is the approximate probability that the percentage of female administrators will be
30
%
or less?
c. How are part a and part b related?
d. Do your answers suggest that it is reasonable to believe the claim that the administrators have been selected randomly from the teachers?
Answer yes or no, and explain your answer.
Definition Definition Number of subjects or observations included in a study. A large sample size typically provides more reliable results and better representation of the population. As sample size and width of confidence interval are inversely related, if the sample size is increased, the width of the confidence interval decreases.
I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)
I need help with this problem and an explanation of the solution for the image described below. (Statistics: Engineering Probabilities)
This exercise is based on the following data on four bodybuilding supplements. (Figures shown correspond to a single serving.)
Creatine(grams)
L-Glutamine(grams)
BCAAs(grams)
Cost($)
Xtend(SciVation)
0
2.5
7
1.00
Gainz(MP Hardcore)
2
3
6
1.10
Strongevity(Bill Phillips)
2.5
1
0
1.20
Muscle Physique(EAS)
2
2
0
1.00
Your personal trainer suggests that you supplement with at least 10 grams of creatine, 39 grams of L-glutamine, and 90 grams of BCAAs each week. You are thinking of combining Xtend and Gainz to provide you with the required nutrients. How many servings of each should you combine to obtain a week's supply that meets your trainer's specifications at the least cost? (If an answer does not exist, enter DNE.)
servings of xtend servings of gainz
Elementary Statistics: Picturing the World (7th Edition)
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Discrete Distributions: Binomial, Poisson and Hypergeometric | Statistics for Data Science; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=lHhyy4JMigg;License: Standard Youtube License