STAT-101 ASSIGNMENT 4 | Complete Solution

Student Full Name:___________________________________ .
Student ID:__________________________________________ .    
CRN No:____________________________________________ .
STATISTICS
(STAT-101)
ASSIGNMENT 4    

Branch: _____________________________________________.

Total Points    
True/False
MCQ
Short Answer    ____/5
____/5
____/15
    
Total    ____/25

Answer all the Questions on the same question paper.

Section-I

State whether the following statements are True or False. (5 marks, 1 Mark Each)

1.      If x and y have a strong positive linear correlation, r is close to 1.  

2.     A perfect correlation of ± 1 occurs only when the data points all lie near to a
     straight line.

3.    if r = 0.9, then r 2 = 0.81, which means that 19% of the total variation in y remains unexplained.

4.    The values of  F- distribution can be 0 or negative.

5.       The null hypothesis for one- way ANOVA is that three or more  population means are not equal.
    
 
                                        
Section-II

 (Multiple Choice Questions)                 (5 marks, 1 Mark Each)

1. One-way analysis of variance (ANOVA) is used with data categorized with

A. more than three treatments
B. One treatment
C. Two treatments
D. Three treatments.

2. The variance within samples (S2p) for the variances 4, 2, and 6 is equal to
A. 4
B. 5
C. 6
D. 7

3 The variance between samples is an estimate of the common population variance s 2 that is based on

A)    The variability among the sample means.
B)    The sample variances.
C)     F-distribution
D)    The variance within samples
 
 

4. The procedures for testing hypotheses with contingency tables with two rows and two columns (2  2) have the requirement that every cell must have an expected frequency of

    A. less than 5
B. more than 5
C. at least 5
D. at most 5

6.    Find the test statistics  by McNemar’s test in the categorical data: a=25, b=15, c=20,d=10

    A)    0.9
    B)    0.457
    C)    12.5
    D)    16
    

Part-II (Multiple Choice Questions)            (5 marks, 1 Mark Each)
MCQ    1    2    3    4    5
Answers                    

Section –III
Answer the following Essay Type Questions        (15 marks, 5 Mark Each

1.    Find the value of the liner correlation coefficient r, and then find the regression equation of  the following table.

x    5    10    4    6    9
y    64    86    69    86    88

2.    A company manager wishes to test a union leader’s claim that absences occur on the different week days with the same frequencies. Test this claim at  = 0.05, where the following data have been compiled

Day     Sun     Mon     Tue      Wed     Thru
Absents     37    15    12    23    43

3) Evaluate the F test statistic for the following data, where n=4 for each sample

    Group 1    Group 2    Group 3    Group 4
Sample Mean    6.6    3.4    3.0    1.2
Sample Variance     5.35    1.35    2.5    2.65
.