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The answers to the given questions on the survey of students by the use of a Venn Diagram are;
A) Venn diagram attached
B) 57 Students
C) 811 Students
D) 785 Students
E) 67 Students
<h3>Understanding Venn Diagrams</h3>
We are given;
- Total number of Students = 1358
- Number of Students that plan to get a new job = 1194
- Number of Students that plan to attend graduate school = 306
- Number of Students that plan to buy a new car = 547
- Number of Students that plan to do all three things = 46
- Number of Students that plan to only attend graduate school = 28
- Number of Students that plan to get a job and buy a new car, but not attend graduate school = 432
- Number of Students that plan to get a new job and attend graduate school = 221
A) I have drawn a Venn Diagram to depict this given numbers of students and I have attached it.
B) From the venn diagram, we can see that the number of people that plan to attend graduate school and buy a new car, but not get a new job = 57
C) From the Venn diagram, we can calculate the number of students that do not plan to buy a new car is;
541 + 175 + 28 + 67 = 811
D) From the venn diagram, we can calculate the number of students plan to get a new job or buy a new car as;
541 + 175 + 12 + 57 = 785
E) From the venn diagram, we can see that the number of students that do not plan to get a new job, attend graduate school, nor buy a new car is; 67
The complete part of the question is;
A) Draw a Venn diagram that represents the situation consisting of 2. cardinalities.
B) How many people plan to attend graduate school and buy a new car, but not get a new job?
C) How many students do not plan a buy a new car?
D) How many students plan to get a new job or buy a new car?
E) How many students do not plan to get a new job, attend graduate school, nor buy a new car?
Read more about Venn Diagrams at; brainly.com/question/2099071
Answer:
a. 99.30% of the woman meet the height requirement
b. If all women are eligible except the shortest 1% and the tallest 2%, then height should be between 58.32 and 68.83
Explanation:
<em>According to the survey</em>, women's heights are normally distributed with mean 63.9 and standard deviation 2.4
a)
A branch of the military requires women's heights to be between 58 in and 80 in. We need to find the probabilities that heights fall between 58 in and 80 in in this distribution. We need to find z-scores of the values 58 in and 80 in. Z-score shows how many standard deviations far are the values from the mean. Therefore they subtracted from the mean and divided by the standard deviation:
z-score of 58 in= = -2.458
z-score of 80 in= = 6.708
In normal distribution 99.3% of the values have higher z-score than -2.458
0% of the values have higher z-score than 6.708. Therefore 99.3% of the woman meet the height requirement.
b)
To find the height requirement so that all women are eligible except the shortest 1% and the tallest 2%, we need to find the boundary z-score of the
shortest 1% and the tallest 2%. Thus, upper bound for z-score has to be 2.054 and lower bound is -2.326
Corresponding heights (H) can be found using the formula
and
Thus lower bound for height is 58.32 and
Upper bound for height is 68.83