Chapter 5: (15pts.) The data set provided in the Excel file (Chapter 5.1) was co
ID: 3325800 • Letter: C
Question
Chapter 5:
(15pts.) The data set provided in the Excel file (Chapter 5.1) was collect from students who took Statistics during the Spring 2017 semester. Use this data set to answer following questions:
What is the size of the sample? What is the number of full-time students (at least 12 credits per semester)? What is the number of part-time students (less than 12 credits)?
Based on the numbers in part a, calculate the probability of selecting a full-time student?
P(full-time)= ?
Find the probability that among 16 randomly selected students; exactly 4 are full time college students.
Find the probability that among 16 randomly selected people, at least 2 are full-time students.
Find the mean and the standard deviation of this distribution.
Is it unusual to have 40 full-time students in a sample of 60 students?
g) The data values were collected from Professor Zelenkova’s two MAT 177 sections, during the Spring 2017 semester. What type of sample is this? What does it suggest about the validity of the results?
Don’t use the binomial probability formula! Use a calculator or software to solve the problem.
N Number of Credits Taking this Semester 1 15 2 13 3 12 4 9 5 7 6 16 7 3 8 6 9 9 10 9 11 16 12 6 13 16 14 12 15 13 16 16 17 12 18 3 19 7 20 7 21 12 22 13 23 13 24 3 25 7 26 12 27 9 28 9 29 9 30 12 31 3 32 7 33 12 34 9 35 9 36 9 37 12 38 12 39 14 40 12 41 10 42 16 43 9 44 12 45 6 46 10 47 12 48 12 49 12 50 16 51 12 52 12 53 15 54 13 55 12 56 9 57 7 58 16 59 3 60 6Explanation / Answer
Result:
Chapter 5:
(15pts.) The data set provided in the Excel file (Chapter 5.1) was collect from students who took Statistics during the Spring 2017 semester. Use this data set to answer following questions:
Number of Credits Taking this Semester
frequency
Percentage
3
5
8.33%
6
4
6.67%
7
6
10.00%
9
11
18.33%
10
2
3.33%
12
17
28.33%
13
5
8.33%
14
1
1.67%
15
2
3.33%
16
7
11.67%
Grand Total
60
What is the size of the sample? 60
What is the number of full-time students (at least 12 credits per semester)? 32
What is the number of part-time students (less than 12 credits)? 28
Based on the numbers in part a, calculate the probability of selecting a full-time student?
P(full-time)= 32/60 =0.5333
Find the probability that among 16 randomly selected students; exactly 4 are full time college students.
P= 0.0157
Find the probability that among 16 randomly selected people, at least 2 are full-time students.
P= 0.9999
Find the mean and the standard deviation of this distribution.
Expectation = np = 31.998
Variance = np(1 - p) = 14.9334666
Standard deviation = 3.8644
Is it unusual to have 40 full-time students in a sample of 60 students?
P( x>=40) =0 .0252 is < 0.05. it is unusual.
g) The data values were collected from Professor Zelenkova’s two MAT 177 sections, during the Spring 2017 semester. What type of sample is this? What does it suggest about the validity of the results?
This is not a random sample. The validity of the results is questionable.
Number of Credits Taking this Semester
frequency
Percentage
3
5
8.33%
6
4
6.67%
7
6
10.00%
9
11
18.33%
10
2
3.33%
12
17
28.33%
13
5
8.33%
14
1
1.67%
15
2
3.33%
16
7
11.67%
Grand Total
60
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