Exam Paper Information

Exam paper information

• This exam paper is made up of TWO sections and 12 numbered pages
• PART 1: ALL 13 questions must be attempted, and all answers must be typed on the template available on the course Learn page, in the same folder as this exam paper. The worksheet file is entitled PART 1 TEMPLATE
• PART 2: TWO questions out of FOUR must be attempted Special instructions
• Please read the document with detailed take-home exam instructions provided on Learn.
• Word limit � 1000 words per question (excluding the list of references).
• Please submit your work to the appropriate Turnitin dropbox(es) on your course Learn page.
• You may use Microsoft Excel to construct any appropriate graphs
• All times and dates are indicated in UK time (British Summer Time). The student is responsible for submitting the assignment by the deadline. No late submissions or extensions will be allowed.
• Please include the coversheet in each of your submissions and indicate clearly:

o Your exam number (you will find this on your student card);

o Course Title;

o The questions that you have chosen to answer;

o Word count for each answered question.

You must attempt TWO questions out the FOUR presented below.

QUESTION 1

Hester Mortlake, CEO of Tenhot, is concerned about the productivity of some of the Tenhot sites. The productivity is calculated on a continuous scale. From past experience she feels that an average productivity of 2.7 across all sites would be acceptable, below this would be problematical. She carried out an exploratory small scale survey of 12 sites and the information below is obtained on productivity. Should she be concerned?

Test her concerns at the 5% level of significance.

1. a) Provide a stem and leaf plot of the data and comment on it.
2. b) State the hypothesis under test and the alternative hypothesis.
3. c) Define the test statistic.
4. d) Define the critical region (testing at 5% level of significance).
5. e) Calculate the value of test statistic.
6. f) In light of your calculation of the test statistic, which hypothesis should be held?
7. g) What type of error might you have made? What recommendations would you make to improve the testing procedure?

QUESTION 2

Changes have taken place at a chocolate manufacturer and the CEO wishes to know if they have improved the work experience. So the CEO asks 100 Management Grade and 100 Staff Grade employees their view. The outcome is given in the table below.

Is there a relationship between Management Grade and Staff Grades view of whether the improvement is positive, no difference and negative? In your answer you should:

1. a) State the hypothesis under test and the alternative hypothesis.
2. b) State the test statistic.
3. c) Calculate the value of test statistic.
4. d) State the critical region (testing at 5% level of significance).
5. e) Is there a relationship between number of Grade and View of Improvement?
6. f) Can you explain the outcome?

QUESTION 3

An industry expert has been considering the performance of medium retailers and has come up with a model which splits the industry into two parts - those who have well established online trade and those without. For these two parts independent of the type of retailer she has collected data performance on their income. From this she has produced a summary based on graphical and summary statistics data. They are presented below:

1) Those With Established Presence will have higher mean return than those Without Established Presence.

2) Also she believes that for those with Established Presence the mean return will be on average greater than 200.

1. a) Based on the information above what are your views of the situation regarding the difference between those With Established Presence andthose Without Established Presence?

1. b) Discuss the graphs indicating any interesting points relevant to the study.
2. c) For the two issues carry out an appropriate significance test, testing at the 5% level of significance.
3. State the hypothesis under test and the alternative hypothesis for both issues.
4. Define the test statistic for both claims.

iii. Define the critical region for both claims. �

Null Hypothesis (H0): The null hypothesis is the hypothesis that there is no significant difference between the populations being compared. It assumes that any observed differences are due to chance or sampling error.

Alternative Hypothesis (H1): The alternative hypothesis is the hypothesis that there is a significant difference between the populations being compared. It assumes that any observed differences are due to a real effect.

For example, if we want to test whether a new drug is effective in reducing blood pressure, we might state our null hypothesis as "the new drug does not significantly reduce blood pressure compared to a placebo" and our alternative hypothesis as "the new drug significantly reduces blood pressure compared to a placebo."