Compute the value of the test statistic

Assignment Help Applied Statistics

Reference no: EM131301608

Assignment -

Part A -

Please fill in the blank and circle your decision or answer the following questions.

Q1. State whether H₀ should be accepted or rejected for α = 0.05, given the following; F^*= computed F (fill in the blank and circle your decision)

a)F^* = 2.34; df = 2 and 11

Computed F	Critical F	Decision
2.34	___________	Reject / Fail to reject

b) F^* = 2.52; df = 4 and 20

Computed F	Critical F	Decision
2.52	___________	Reject / Fail to reject

c) F^* = 4.29; df = 3 and 24

Computed F	Critical F	Decision
4.29	___________	Reject / Fail to reject

Q2. Use problem 4 on page 14-11 to fill in the table and answer the following questions.

Source	SS	df	MS	F
Treatments	_____	180	_____	_____
Error	_____	60	_____
Total	_____	_____

a) What is the hypothesis being tested in this problem?

b) In the above ANOVA table, is the factor significant at the 5% level?

c) Number of observations?

Q3. Use problem 5 on page 14-12 to fill in the table and answer the following questions.

Source	SS	df	MS	F
Treatments	12.10	2	6.05	_____
Error	_____	_____	0.87
Total	27.81	20

a) What is the hypothesis being tested in this problem?

b) In the above ANOVA table, is the factor significant at the 5% level?

c) Number of observations?

Q4. Use problem 6 on page 14-12 to fill in the table and answer the following questions.

Source	SS	df	MS	F
Treatments	20.46	3	6.82	0.23
Error	_____	20	_____
Total	623.96	_____

a) What is the hypothesis being tested in this problem?

b) In the above ANOVA table, is the factor significant at the 5% level?

c) Number of observations?

Part B -

Work Problem - All work in part must be shown step by step.

Q5. Use problem number 1 on page 9-18 to answer the following questions (a-e).

a) Use Z or T test? And why?

b) At α = 0.05, what is the rejection rule?

c) Compute the value of the test statistic.

d) What is the p-value?

e) What is your conclusion?

Q6. Use problem number 6 on page 9-18 to answer the following questions (a-e).

a) Use Z or T test? And why?

b) At α = 0.05, what is the rejection rule?

c) Compute the value of the test statistic.

d) What is the p-value?

e) What is your conclusion?

Q7. Use problem number 20 on page 9-21 to answer to following questions (a-h).

a) What is the sample mean?

b) What is the sample standard deviation?

c) Use Z or T test? And why?

d) What is your hypothesis test?

e) At α = 0.05, what is the rejection rule when using the method you choose in (C)?

f) Compute the value of the test statistic.

g) What is the p-value?

h) What is your conclusion?

Q8. Use problem number 18 on page 9-21 to answer the following questions (a-e).

a) Use Z or T test? And why?

b) At α = 0.05, what is the rejection rule?

c) Compute the value of the test statistic.

d) What is the p-value?

e) What is your conclusion?

Q9. Use problem number 2 on page 10-27 to answer the following questions (a-d).

a) Write and interpret the estimated regression equation.

b) What is the number of observations?

c) Compute the F statistic and test the significance of the relationship at a .05 level of significance?

d) Predict monthly maintenance expense for any terminal that is used 25 hours per week.

Q10. Use problem number 10 on page 10-30 to answer the following questions (a-j).

a) Find b₁ and interpret.

b) Find b₀ and interpret.

c) Write the equation.

d) Find r² and interpret.

e) Find SST.

f) Find S_e.

g) Construct the 95% confidence interval for the mean of y when x = 7.

h) Construct the 95% confidence interval for the individual value of y when x = 9.

i) What is the consumption of apple per person when consumer income is $500?

j) Interpret and show that you understand this regression equation. (Significant weight will be given to this question).

Q11. The given computer printout is a regression model relating plane travelling. Given X, number of fuel consumed (in gallon) and Y, flying time (1,000 mile) has been developed. Please fill in the blank and answer the following questions (a-g).

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.877
R Square	______
Adjusted R Square	______
Standard Error	______
Observations	______

ANOVA
	df	SS	MS	F	Significance F
Regression	1	18.937	18.937	______	0.010
Residual	______	5.712	______
Total	6	24.649

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	-8.859	8.077	-1.097	0.323	______	11.904	29.621	______
Fuel Consumed	0.132	0.032	4.071	0.010	______	0.215	0.049	______

a) Write and interpret the estimated regression equation.

b) What is the number of observations?

c) Compute the F statistic and test the significance of the relationship at a .05 level of significance.

d) Predict the flying time when the plane consumes 270 Gallons of gas.

e) What is the coefficient of determination and interpret it.

f) What is the coefficient of correlation and interpret it.

g) Interpret and show that you understand this computer printout. (Significant weight will be given to this question).

Q12. Giving the selling price of the dependent variable and house size, house age and are independent variables please fill in the table and answer the following questions (a-h). (α=0.05)

SUMMARY OUTPUT
Regression Statistics
Multiple R	0.9571
R Square	_____
Adjusted R Square	0.8932
Standard Error	6.8940
Observations	_____
ANOVA
	df	SS	MS	F	Significance F
Regression	3	5707.4385	_____	_____	3.27814E-06
Residual	11	_____	47.5270
Total	_____	6230.2360

	Coefficients	Standard Error	t Stat	P-value	Lower 95%	Upper 95%	Lower 95.0%	Upper 95.0%
Intercept	-16.0580	19.0710	-0.8420	0.4177	-58.0331	25.9171	_____	25.9171
House Size	4.1462	0.7512	5.5195	0.0002	2.4928	5.7995	2.4928	_____
House Age	-0.2361	0.8812	-0.2679	0.7937	-2.1756	1.7035	_____	1.7035
Area	4.8309	0.9011	5.3612	0.0002	2.8476	6.8141	2.8476	_____

a) Write and interpret the estimated regression equation.

b) What is the number of observations?

c) What percent of the variation is explained by the regression equation, please explain.

d) What is the standard error of regression, please explain?

e) What is the variance of the slope coefficient of House size?

f) Conduct a global test of hypothesis to determine if any of the regression coefficients are not zero.

g) Conduct a test of hypothesis for each of the independent variables. Which one you would eliminate and why?

h) Interpret and show that you understand this computer printout. (Significant weight will be given to this question).

Q13. Use problem 13 on page 15-11 to answer the following questions (a-d).

a) What is your hypotheses?

b) What is your χ²?

c) Is the χ² value significant at 5% level of significance?

d) Write the conclusion for this question.

Q14. Use problem 16 on page 15-11 to answer the following questions (a-d)

a) What is your hypotheses?

b) What is your χ²?

c) Is the χ² value significant at 5% level of significance?

d) Write the conclusion for this question.

Q15. The following statistics were calculated in a regression analysis procedure.

DF = 7.0

b₀ = -10.8

b₁ = 3.0

S_b1 = 21.0

a. Test the null hypothesis that the slope of the regression lines is zero at the .01 significance level.

Attachment:- Question Problems.rar

Reference no: EM131301608

Questions Cloud

How three information system above will benefit your company : Distinguishing how the three information systems above will benefit your company, proceed by providing the details and examples of applications and solutions offered by retail vendors

What is the modulation rate (baud rate) of this signal : Why must the simulation of a frame alignment signal be prevented? In the United States, a 2B1Q line signal is used where the bit rate is 160 kbits/s. What is the modulation rate (baud rate) of this signal?

Distinguish between the primary and secondary stock markets : Distinguish between the primary and secondary stock markets. Why does the price of a stock change each day in the secondary market?

Develop the project work breakdown structure : Develop the project Work Breakdown Structure using the template linked below. WBS Template Please submit your assignments in one zip file.

Compute the value of the test statistic : Use Z or T test? And why? At α = 0.05, what is the rejection rule? Compute the value of the test statistic. What is the p-value. What is the hypothesis being tested in this problem? In the above ANOVA table, is the factor significant at the 5% level

Define primitive in the context of isdn protocols : Define primitive in the context of ISDN protocols ? How does an ISDN user (e.g., a TE) derive its timing?

Explain how would you register that business in cuba : If I was going to open apple store in Havana Cuba, explain how would you register that business in cuba. Explain registration details. Who would be key personnel.

How do shareholders earn returns from investing in stocks : How do shareholders earn returns from investing in stocks? How is the market value of a firm determined? What determines the market price of a stock?

Write a program to remove duplicates from sorted array : Write a program to remove duplicates from sorted array, Given array is already sorted, and it has duplicate elements. Write a program to remove duplicate elements and return new array without any duplicate elements. The array should contain only uniq..

User Account

All Pages