Subject Code : MAC004
Country : Australia
Assignment Task:

Task:

Instruction: Read the questions below carefully. Attempt all questions.

1. A researcher claims that the diet high in Omega-3 will have a positive impact on blood Cholesterol levels only if the Cholesterol levels for obese patients have a mean of 70. A sample of 35 patients who have tried this diet have a mean Cholesterol level of 85.

a) Is there sufficient evidence to support the researcher’s claim? (standard deviation is 20.) (15 marks)
[Answer and show workings here]

2. The following table shows the number of workers and the amount of time in minutes it takes them to harvest the wheat
Workers Time
3 699
4 700
5 602
6 525
8 390
9 310
10 250

(a) Find the regression equation. (8 marks)
[Answer and show workings here]
The regression equation is -69.01027x+940.2089

(b) Find the value of the correlation coefficient. (4 marks)
[Answer and show workings here]

(c) Use the regression equation to find how long it would take seven workers to harvest the wheat. (3 marks)
[Answer and show workings here]

3. The demand for a peanut butter in each of the last five months is shown below

Week Demand
1 50
2 62
3 70
4 79
5 92

a) Use a three-month moving average to generate a forecast for demand in month 6.
(3 marks)

[Answer and show workings here]

b) Apply exponential smoothing with a smoothing constant of 0.9 to generate a forecast for demand in month 6. (9 marks)

[Answer and show workings here]

c) Which of these two forecasts do you prefer and why? (3 marks)

[Answer and show workings here]

4. Inferential and descriptive statistics both have numerous applications, however, each serves different purposes. Using practical examples of your choice outline and then discuss differences between these two methods. ( 15 marks)

 

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  • Posted on : January 13th, 2019
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