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.
If you use
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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
At the = .05 level of significance, does the nutritionist have enough evidence to reject the writer’s claim?
23. The appropriate alternative hypothesis for a two-tail test to determine if mean body weight of all the men who have joined a health club is the same as 185 pounds would be
Key word “whether”.This is a two-tailed hypothesis test. Researcher wants to know “whether” the groups being compared differ, but does not predict the direction of the difference.
Form previous studies, it is assumed that the standard deviation, σ, is 2.4. Construct the 95% confidence interval for the population mean. A. (61.9, 64.9) B. (58.1, 67.3) C. (59.7, 66.5) D. (60.8, 65.4) 3. Suppose a 95% confidence interval for µ turns out to be (120, 310).
Another study was conducted contrasting the period of time of 1988-94 to 1999-00. Between these two periods, the proportion of overweight youngsters
2. Outline what your diet is used for eg; weight gain, muscle tone. (2 marks)
This activity was to record a detail food log, personal caloric needs and intake and comparing to a standard distribution. The standard distribution percentage given for this activity was 40% carbs, 30% proteins and 30%fats. In this analysis I will compare my personal results of caloric intake and estimate my BMR, TMR and how this impacts my weight management goals.
The data are given in the table below: 1 2 3 4 5 Subject Beginning cholesterol 275 255 283 261 263 Cholesterol after 6 months 264 262 260 252 259 11 −7 23 9 4 Difference a. What should the researchers establish as the appropriate alternative hypothesis?
Having established a body of subjects, the body should be divided into halves. One group will be the treatment group. They will participate in the diet, and nothing else. For example, if they participate in the diet, and begin exercising, it is impossible to say whether the diet had an impact. The other group will be the control. They will continue to eat as they normally did without any other changes too. Again, if they start exercising (or stop) it will skew the
Inferential statistics: Paired‘t’test, chi square test and independent‘t’ test . P value less than 0.05 used to indicate significance.
The correlation coefficient for this test was 0.218 and the p-value was 0.318. This proves the null hypothesis that there is no statistically significant correlation between the rate of fat lost and the change in Total Energy Expenditure from Baseline to Follow-Up.
The purpose of this assignment is to analyze a scientific article that provided by the instructor. The article that will be analyzed is “Dietary protein intake is associated with body mass index and weight up to 5 y of age in a prospective cohort of twins”. The authors are Laura Pimpin, Susan Jebb, Laura Johnson, Jane Wardle, and Gina L Ambrosini.
As far as did all the people using the machine lose 10 pounds, I particularly don 't believe that all did and it 's very doubtful that all the participants accomplished this goal. Many individuals lose weight in different methods and at different times by incorporating many varying options. I’m not saying it 's not possible to lose an average of 10 pounds on an exercise machine, but from the information given, it 's hard to picture the individuals in this study of losing an average of 10 pounds, with having limited information and details. I would need more pertinent information and data. In order for me to believe that all participants using the exercise machine resulted in an average 10-pound weight loss, I would need to see additional information relating to all participants prior weight before the study and the average pounds lost per each participant. Sometimes seeing is believing. In most cases we would need to witness this ourselves and make sure other factors aren’t tied into the weight loss mechanics. In my opinion, there are a lot of essential elements and information lacking from this study. Therefore, we are not able to make accurate inferences from the information given. However, if we were to attain additional information it would help build an effective picture. With the distorted information here, we cannot build a fair hypothesis. Additionally, we don 't necessarily have enough sufficient evidence to build a credible assumption. Hypothesis test is
c. I can use here t-test for dependent samples (because of the phrase “before and after”), since the same group of sample will measured twice, before a treatment, and after a treatment. Of course, we need to check if all the assumptions are met, such as normality, equality of variance and randomness of samples.
After completing the data collection process, I will begin to analyze the data. First, I will divide students in the experimental and control group by the gender selected in the survey. Then, I will determine whether an individual’s diet experienced no, little, medium, or high change by referring to the dietary records. To do so, I will individually add the total amounts of red meat, white meat, dairy, fish, and eggs an individual consumed in the first four weeks. Then, I will subtract the total amount of each of the foods consumed during the last four weeks of the study from the previous amount. For example, if an individual consumed a total amount of twenty ounces of red meat in the first four weeks and twelve in the last four weeks, I