Statistics-101

CSTS-SEU-KSA

______________________________________________________________________________

Statistics (STAT-101)

Assignment-4 (Weeks: 12-14)

1st Semester, 1439-1440 (2018-2019)

Due date: 8/12/2018 (Time: 10:30 PM)

Student’s Name
Student’s ID
Section/CRN
Location

Marking Scheme
Question	Score	Obtained Score
Q-1	3
Q-2	3
Q-3	3
Q-4	3
Q-5	3
Q-6	3
Total	18

Note: You are required to fill your full name, ID and CRN.

1. Find the Linear correlation coefficient between variables x and y for the following data:

(x)	(y)
1	2
2	4
3	4
4	6
5	6
6	8
7	8
8	9

2. Obtain the Regression equation of y on x using the data given in Question 1.

3. A survey was conducted to determine if the air travel anxiety depends upon the frequency of air travel. The number of passengers self -reporting air travel anxiety based on their frequent fliers status is as follows.

	Anxiety	No Anxiety	Total
Not a frequent fliers	10	30	40
Frequent Fliers	20	40	60
Total	30	70	100

Test the claim at level and find the null, alternative hypothesis, the -test statistics and a statement whether or not you reject the null hypothesis.

(Table value: = 3.841)

4. A teacher claims that the number of absent students in her class on each day of the week are equal. The following table gives the number of observed absents of students during week days:

Days	Monday	Tuesday	Wednesday	Thursday	Friday	Saturday	Total
No. of Absents	14	18	12	11	15	14	84

Test the claim at 5% level of significance that absents occur with equal proportions during the week. (Table Value: )

5. While conducting a one-way ANOVA comparing 6 treatments with 10 observations per treatment, computed value for SST = 290 and MSE = 5. Find the value of F and also construct the ANOVA table.

6. Given the sample data below, find the F -test statistic value.

	Sample 1	Sample 2	Sample 3
	5	5	5
Mean	3.0	4.0	5.0
Variance	1.0	2.0	3.0