Question

In: Statistics and Probability

Age Final Average Gender # Hrs Worked/wk Race Attendance 21 80 F 25 1 1 18...

Age	Final Average	Gender	# Hrs Worked/wk	Race	Attendance
21	80	F	25	1	1
18	50	M	35	1	6
18	72	M	40	2	2
19	95	F	25	2	0
43	90	M	40	1	0
24	66	M	0	1	4
25	89	M	20	3	1
50	84	F	50	1	0
18	76	F	32	2	1
17	81	F	15	3	0
20	44	F	0	2	7
21	70	F	30	1	3
26	79	F	40	1	0
20	82	F	20	2	1

A study was conducted to determine the success rates of students enrolled in the Statistics courses offered at South Plains College for the fall semester of 2015. A random sample of 14 students was taken, and we recorded each student’s age, final average, gender, # hours worked per week, race, and the attendance record (# of classes not attended this semester). Use the results from the table to answer all parts of #2.

j. If one student is randomly selected from the sample, what is the probability that he/she will be over 25 years old? (2 pts)

k. For part j., did you use the classical, relative frequency (empirical), or subjective approach? (1 pt)

l. If three students are randomly selected, find the probability that at least one is a male. (3 pts)

m. Find the 90% confidence interval for the mean age of all Statistics students this semester. (3 pts)

REGRESSION ANALYSIS: FINAL AVERAGE (Y) VS. ATTENDANCE RECORD (X)

p. Construct a scatterplot (2 pts)

q. Compute the correlation coefficient (3 pts)

r. Compute the regression equation. (3 pts)

s. Predict the student’s final average if he/she has a total of 3 absences. (2 pts)

Expert Solution

j)

Total number of students in a sample whoes age is over 25 years = 3

Total no of students in a sample = n = 14

Probability that the age of randomly selected student is over 25 is

We have used classical (relative frequency) approach.

Number of male students in a sample = 5

P( student being male ) = .

Let X be the number of male students in a sample of 3 students. X follows binomobi distribution with probability of success p=0.3571

Probability that at least one male student = P(X>=1)

= 1-P(X=0) = .

90% confidence interval for the mean age of students

=

= (19.09,29.46)

Correlation between Age and final Average 0.3515

Regression Equation

Final average of a student with 3 absence

= 45.189+5.908(3)

=62.913

Scatter plot

orchestra answered 2 years ago

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