Assessment Task – Tutorial Questions Unit Code: HI6007 Unit Name: Statistics for Business Decisions Assignment: Tutorial Questions 2 Due: 11:59PM 19 June 2020 Weighting: 25% Purpose: This assignment...

1 answer below »
please be carefull about plagrism as for last file i got only 50% marks due to lot of similarity. just remove the words which are similar like Question no and all other words.


Assessment Task – Tutorial Questions Unit Code: HI6007 Unit Name: Statistics for Business Decisions Assignment: Tutorial Questions 2 Due: 11:59PM 19 June 2020 Weighting: 25% Purpose: This assignment is designed to assess your level of knowledge of the key topics covered in this unit Unit Learning Outcomes Assessed: 1. Students are able to apply appropriate business research methodologies to support decision-making process. 2. Students are able to identify and apply valid statistical techniques in a given scenario to solve business problems. 3. Students are able to justify and interpret the results of a statistical analysis in the context of critical reasoning for a business problem solving. 4. Students are able to apply statistical knowledge to summarize data graphically and statistically, either manually or via a computer package. 5. Students are able to justify and interpret statistical/analytical scenarios that best fit business solution. 6. Students are able to justify value and limitations of the statistical techniques to business decision making. Description: Each week students were provided with three tutorial questions of varying degrees of difficulty. These tutorial questions are available in the Tutorial Folder for each week on Blackboard. The Interactive Tutorials are designed to assist students with the process, skills and knowledge to answer the provided tutorial questions. Your task is to answer a selection of tutorial questions for weeks 7 to 11 inclusive and submit these answers in a single document. The questions to be answered are; Week 7 Question 2 (10 marks) A local health centre noted that in a sample of 400 patients, 80 were referred to them by the local hospital. a. Provide a 95% confidence interval for all the patients who are referred to the health centre by the hospital. (5 marks) b. What sample size would be required to estimate the proportion of all hospital referrals to the health centre with a margin of error of 0.04 or less at 95% confidence? (5 marks) Week 8 Question 1 (10 marks) The average starting salary of students who graduated from colleges of Business in 2009 was $48,400. A sample of 100 graduates of 2010 showed an average starting salary of $50,000. Assume the standard deviation of the population is known to be $8000. We want to determine whether or not there has been a significant increase in the starting salaries. Step 1. Statement of the hypothesis (1.5 marks) Step 2. Standardised test statistic formula (1 mark) Step 3. State the level of significance (1 mark) Step 4. Decision Rule (Draw a bell to show rejection zone) (3 marks) Step 5. Calculation of the statistic (2 marks) Step 6. Conclusion (1.5 marks) Week 9 Question 3 (10 marks) The data in the table below presents the hourly quantity of production for three lines of production processes over the first 4 days in XYZ Company. Answer the questions based on the Excel Output given below. Day Process 1 Process 2 Process 3 1 33 33 28 2 30 35 36 3 28 30 30 4 29 38 34 ANOVA: Single Factor SUMMARY Groups Count Sum Average Variance Process 1 4 120 30 4.66667 Process 2 4 136 34 11.3333 Process 3 4 128 32 13.3333 ANOVA Source of Variation SS df MS F P value Between Groups 32 ? ? ? Within Groups 88 ? ? Total 120 11 a. State the null and alternative hypothesis for single factor ANOVA. (1 mark) b. State the decision rule (α = 0.05). (4 marks) c. Calculate the test statistic. (3 marks) d. Make a decision. (2 marks) Week 10 Question 2 (10 marks) Personal wealth tends to increase with age as older individuals have had more opportunities to earn and invest than younger individuals. The following data were obtained from a random sample of eight individuals and records their total wealth (Y) and their current age (X). Person Total wealth (‘000s of dollars) Y Age (Years) X A 280 36 B 450 72 C 250 48 D 320 51 E 470 80 F 250 40 G 330 55 H 430 72 A part of the output of a regression analysis of Y against X using Excel is given below: SUMMARY OUTPUT Regression Statistics Multiple R 0.954704 R Square 0.91146 Adjusted R Square 0.896703 Standard Error 28.98954 Observations 8 ANOVA df SS MS F Significance F Regression 1 51907.64 51907.64 Residual 6 5042.361 840.3936 Total 7 56950 Coefficients Standard Error t Stat P-value Intercept 45.2159 39.8049 Age 5.3265 0.6777 a. State the estimated regression line and interpret the slope coefficient. (1.5 marks) b. What is the estimated total personal wealth when a person is 50 years old? (1 mark) c. What is the value of the coefficient of determination? Interpret it. (1.5 marks) d. Test whether there is a significant relationship between wealth and age at the 10% significance level. Perform the test using the following six steps. Step 1. Statement of the hypotheses (1 mark) Step 2. Standardised test statistic (0.5 mark) Step 3. Level of significance (0.5 mark) Step 4. Decision Rule (1.5 marks) Step 5. Calculation of test statistic (1.5 marks) Step 6. Conclusion (1 mark) Week 11 Question 3 (10 marks) A student used multiple regression analysis to study how family spending (y) is influenced by income (x1), family size (x2), and additions to savings (x3). The variables y, x1, and x3 are measured in thousands of dollars. The following results were obtained. ANOVA df SS Regression 3 45.9634 Residual 11 2.6218 Total Coefficients Standard Error Intercept 0.0136 x1 0.7992 0.074 x2 0.2280 0.190 x3 -0.5796 0.920 a. Write out the estimated regression equation for the relationship between the variables. (1 mark) b. Compute coefficient of determination. What can you say about the strength of this relationship? (3 marks) c. Carry out a test to determine whether y is significantly related to the independent variables. Use a 5% level of significance. (3 marks) d. Carry out a test to see if x3 and y are significantly related. Use a 5% level of significance. (3 marks) Submission Directions: The assignment has to be submitted via Blackboard. Each student will be permitted one submission to Blackboard only. Each student needs to ensure that the document submitted is the correct one. Academic Integrity Academic honesty is highly valued at Holmes Institute. Students must always submit work that represents their original words or ideas. If any words or ideas used in a class posting or assignment submission do not represent the student’s original words or ideas, the student must cite all relevant sources and make clear the extent to which such sources were used. Written assignments that include material similar to course reading materials or other sources should include a citation including source, author, and page number. In addition, written assignments that are similar or identical to those of another student in the class is also a violation of the Holmes Institute’s Academic Conduct and Integrity Policy. The consequence for a violation of this policy can incur a range of penalties varying from a 50% penalty through to suspension of enrolment. The penalty would be dependent on the extent of academic misconduct and the student’s history of academic misconduct issues. All assessments will be automatically submitted to SelfAssign to assess their originality. Further Information: For further information and additional learning resources, students should refer to their Discussion Board for the unit.
Answered Same DayJun 12, 2021HI6007

Answer To: Assessment Task – Tutorial Questions Unit Code: HI6007 Unit Name: Statistics for Business Decisions...

Ravi answered on Jun 13 2021
136 Votes
Week 7: Question 2:
From the given information:
a)
Fine the 95% confidence interval for all the patients who are referred to the health centre by the hospital.
Hence, the 95% confidence interval for all the patients who referred to the h
ealth centre by the hospital is
b)
Find the sample size to estimate the proportion of all hospital referrals to the health centre.
The margin of error is:
Hence, the required answer is:
Week 8: Question-1:
From the given information:
It is observed that the population standard deviation in known, so the standard normal test is applicable in the given situation.
Step-1:
Null hypothesis,
Alternative hypothesis,
Step-2:
The standardized test statistic formula is:
Step-3:
Significance level:
         
Step-4:
Rejection rule: Reject when the test statistic value is greater than 1.645, that is
Draw a rejection region graph:
Step-5:
Find the test statistic value.
Step-6:
Conclusion: the test statistic value (2.00) is fall in the critical region, so it is rejecting null hypothesis and conclude that there has been a significant increase in the starting salaries at the 5% level of significance.
Week-9: Question-3:
a)
Construct the null and alternative hypothesis.
At least one process mean is different from others.
b)
Decision rule: Reject when significance level.
c)
Find the Mean sum of square value.
Find the test statistic value.
Compute the value.
Now, construct the complete Analysis of Variances table.
d)
Conclusion: squares
It is observed that the value is larger than the 0.05 significance level, So, it is not rejecting and conclude that there is not enough evidence to conclude that at least one process mean is differ from other process.
Week-10: Question-2:
a)
From the given MS Excel output:
Find the estimated regression equation
The expected wealth increases 5.3265 thousand dollars when we increase one unit in independent variable age value.
b)
Find the estimate predicted value of the total personal wealth when a person is 50 years old.
        
Hence, the estimate predicted value of the total personal wealth when a person is 50 years old is thousand dollars.
c)
Find the coefficient of determination.
From the available MS Excel output:
There is a 91.15% of the explained variation in the dependent variable in the future linear model regression outcomes.
d)
Step-1:
State the null and...
SOLUTION.PDF

Answer To This Question Is Available To Download

Related Questions & Answers

More Questions »

Submit New Assignment

Copy and Paste Your Assignment Here