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Assign 2 Adm2304 W15

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ADM2304 Assignment#2 (100 Marks)
Due Date & Time: Must be Uploaded by Wednesday, March 4, 2015 by 23:59 hrs.
A 'Grace Period' of 1 extra day will be allowed with severe penalty.
Integrity Statement: Must be Printed/ Signed and Attached.

General Instructions:
When you perform a test of hypothesis, you must always use the 4-step approach: i. S1:the “Null” and “Alternate” hypotheses, ii. S2: calculate value of the test statistic, iii. S3: the level of significance and the critical value of the statistic, iv. S4: your decision rule and the conclusion reached in not rejecting or rejecting the null hypothesis. When asked to calculate p–value, S5, relate the p-value to the level of significance in reaching your conclusion.

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Manually test the hypothesis that the dieting program is effective. State your hypothesis and use the 'critical value' approach to prove or disprove the claim. What is the name of this test? Explain why this test should or should not be used.
b. What is the asymmetric Confidence Interval for the mean of the difference in the values of the weights before and after the dieting program was over? Is it consistent with the conclusion reached in part ‘a’?
c. Based on this asymmetric Confidence Interval in 'b' above, state how much minimum mean weight could be lost, after completing the dieting programme.
d. Calculate the p-Value for this test. What conclusion would you draw?
e. Now for the same data, Test the hypothesis that the median value of the difference in weights before and after the dieting programme is non-existent. What is the name of this test? Also state what the symmetric CI for the median of the difference would be.
f. Specify with diagrams and justify which methodology would be more appropriate? Methodology used in part ‘a’ or in part ‘e’. What are the names of these respective methodologies?

Question #4 (20 marks)

With looming elections, polls with independent samples were taken to obtain the following data concerning the number of people who favor two different major

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