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Biostatistics Home work 1. Twelve obese persons were place on a diet for one mon

ID: 3061026 • Letter: B

Question

Biostatistics Home work

1. Twelve obese persons were place on a diet for one month. Their weights (in lbs.) at

the beginning and at the end of the month are presented in the following table.

Calculate the mean weight loss over a one month period and test the mean decline

for statistical significance. Show all hypothesis testing steps. (You can use EXCEL

to calculate the summary statistics)

Subject Initial Weight Final Weight

1 263 248

2 298 281

3 302 284

4 288 274

5 256 232

6 324 314

7 309 305

8 299 293

9 278 263

10 320 295

11 253 252

12 318 301

2. Verify your results in problem 4 using the EXCEL Procedure: t-test: Paired Two

Sample for Means. Attach a copy of your EXCEL results.

Explanation / Answer

Null Hypothesis
H0: 1 - 2 <= 0

Alternate Hypothesis
Ha: 1 - 2 > 0

As p-value is less than significance level of 0.05, we reject the null hypothesis. This means there are significant evidence to conclude that there is mean weight loss.

Excel output:

Initial Wt Final Wt dbar 263 248 15 298 281 17 302 284 18 288 274 14 256 232 24 324 314 10 309 305 4 299 293 6 278 263 15 320 295 25 253 252 1 318 301 17