Question

If you're good at stats, please, please, PLEASE look at this!!

Answer 1

I'm sooo desperate to find a mathematician or a statistician that will look over my statistics project. Or if you're just good at stats. This is a huge portion of my grade and it's due in 8 hours! Please help me fill in what I didn't do, and how you did it and make sure what I did do is right.

Here are the requirements:
What to do: Find an interesting topic, best if it is related to your major (but not necessary). One fourth of the scores are given to the choice of the topic. Design an experiment, collect data, and do a hypothesis testing.
Content: Write a detailed plan about what you want to learn or test; what are the experimental units. Propose a null hypothesis and an alternative hypothesis. Check conditions (e.g. if you use a Z-test, why can you use it?) Perform the test and explain what your decision means in terms of the subject matter (Don’t just say, for example, reject the null hypothesis)
Grading is based on:
1. Choice of the problem: Clarity in stating the problem. Why is your problem meaningful? State the significance, usefulness, and appropriateness of using hypothesis testing and other statistics.
2. Application of statistics: correctness in procedure, test statistics and conclusion
3. Presentation: Problem must be typed. Calculation part can be handwritten.

Here's my project:

Experiment:
With excess weight being a greater problem now than ever, the question of whether changing eating habits or exercise is more likely to produce weight loss is vital. During the week, I went to my gym and collected data from my trainer. I wanted to know what worked better with his clients, dieting only, or exercising only. Luckily for me, he had already tried to conduct this experiment and had the data of his clients.

Diet Only:
Sample mean = 9.25lbs
Sample standard deviation = 2.79lbs
Sample size = n = 42
Standard error = 2.79/√42 = .431

Exercise Only:
Sample mean = 5.25lbs
Sample standard deviation = 3.7 kg
Sample size = n = 42
Standard error = SEM2 = 1.86/√42 = .287

Step one: Determine the null and alternative hypotheses.
Null hypothesis: No difference in average fat lost in population for two methods. Population mean difference is zero (µ1-µ2=0)
Alternative hypothesis: There is a difference in average fat lost in population for two methods. Population mean difference is not zero (µ1-µ2≠0)

Step 2. Collect and summarize data into a test statistic.
The sample mean difference = 9.25 – 5.25 = 3.997
Standard error of the difference is ?????
So the test statistic: z = ???


Step 3. Determine the p-value.
Recall that the alternative hypothesis is two-sided.
P-value = 2 × [?]
Proportion is about 2 × (????)

Step 4. Make a decision.

Answer 2

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