22) In a regression analysis involving 30 observations, the following estimated regression equation was obtained.

Estimated y=17.6-3.8X1+2.3X2+7.6X3+2.7X4. What is the correct interpretation of b1?

Select one:

a.b1 = -3.8 is an estimate of the change in y corresponding to a 1 unit change in x1

b.b1 = 3.8 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant.

c.b1 = -3.8 is an estimate of the change in y corresponding to a 1 unit change in x1 when x2, x3, and x4 are held constant.

d.b1 = 3.8 is an estimate of the change in y corresponding to a 1 unit change in x1

23) One student is interested to examine how consumption for an economy (in $ billions) is influenced by GDP ($ billions) and aggregate price. By using 10 observations student got followingresults:

Estimated consumption= -0.0861 (0.5674) +0.7654 GDP (0.0574) -0.0260 Aggregate Price (0.0028),

Standard Error is (in parentheses). If alpha = .01, which variable(s) reject the null hypothesis i.e., b1=b2= 0

Select one:

a.None of the variables

b.Aggregate Price

c.GDP

d.GDP and Aggregate Price

24) One student is interested to examine how consumption for an economy (in $ billions) is influenced by GDP ($ billions) and aggregate price. She used consumption as the dependent variable and GDP and aggregate price as independent variables. She obtains R-squared value of 0.962. When she decided to use only GDP as the independent variable, keeping dependent variable same, she obtained an R squared value of 0.941. What additional percentage of the total variation of consumption has been explained by including aggregate prices in the multiple regression?

Select one:

a.0.21

b.1.1

c.2.1

d.21.1

25) One student is interested to examine how consumption for an economy (in $ billions) is influenced by GDP ($ billions) and aggregate price. Her estimated equation is as follows:

Estimated consumption= -0.0861+0.7654 GDP-0.0006 Price.

What is the predicted consumption level for an economy with GDP equal to $5 billion and an aggregate price index of 100?

Select one:

a.$3.68 billion

b.$9.45 billion

c.$1.39 billion

d.$2.89 billion

26) One student wants to compare the prices of various identical electronic gadgets with two suppliers, DIY and Tesco. Student suspects that DIY is overcharging. What would be null and alternative hypothesis student should test:

Select one:

a.Ho:ud< 0;Ha:ud> 0;drepresent the price difference between DIY and Tesco

b.Ho:ud=0;Ha:ud0;drepresent the price difference between DIY and Tesco

c.Ho:ud0;Ha:ud< 0;drepresent the price difference between DIY and Tesco

d.Ho:ud 0;Ha:ud> 0;drepresent the price difference between DIY and Tesco

29) One student wants to estimate the mean total salary of faculties in Malaysian Universities. Data were randomly collected from 18 faculties and 95% confidence interval was calculated to be (RM96000, RM140000). Which of the following interpretations is correct?

Select one:

a.We are 95% confident that the mean of the sampled faculties falls in the interval RM96000 to RM140000.

b.We are 95% confident that the mean total salary of all faculties in Malaysian Universities fall in the interval RM96000 to RM140000.

c.95% of the sampled total salary fell between RM96000 and RM140000.

d.In the population of Malaysian Universities faculties, 95% of them will have total salaries that fall in the interval RM96000 to RM140000.

30) One student wants to estimate the mean total salary of faculty in Malaysian Universities. Data were randomly collected from 18 faculties and the 95% confidence interval was calculated to be (RM96000, RM140000). Based on the interval above, do you believe the mean total salary of faculties in Malaysian Universities is more than RM120000?

Select one:

a.I cannot conclude that the mean exceeds RM120000 at the 95% confidence level.

b.Yes, and I am 95% confident of it.

c.Yes, and I am 78% confident of it.

d.I am 95% confident that the mean salary is RM120000.

31) School of Economics and Management (SEM) reports that 38% of SEM students fear statistics course. A researcher believes that less than 38% of students fear statistics course. She randomly surveys 361 students and finds that 135 report they fear statistics course. Based on the given data what would be the researcher's decision at 5 percent level of significance.

Select one:

a.sufficient evidence to reject the claim that less than 38% of students at the school fear statistics course

b.sufficient evidence to reject the claim that more than 38% of students at the school fear statistics course.

c.insufficient evidence to support the claim that more than 38% of students at the school fear statistics course.

d.insufficient evidence to support the claim that less than 38% of students at the school fear statistics course.

32) State the null hypothesis (H0) and the alternative hypothesis (Ha) of the following statement: 'The mean starting salary for Xiamen University graduates is at least RM 60,000 per year'.

Select one:

a.H0: u>60,000; Ha: u<60,000

b.H0: u<60,000; Ha: u>60,000

c.H0: u60,000; Ha: u<60,000

d.H0: u60,000; Ha: u>60,000

33) State the null hypothesis,H0, and the alternative hypothesis, Ha of the following statement: 'At most 65% of students pay attention in the face to face class'.

Select one:

a.H0: p0.65; Ha: p<0.65

b.H0: p0.65; Ha: p>0.65

c.H0: u0.65; Ha: u>0.65

d.H0: u0.65; Ha: u<0.65