After medically-supervised obese adults leave a six-month in-patient treatment program of diet and exercise to foster healthy weight loss, these patients are monitored as they transition back into their own homes.  Clinical dieticians are curious if there is significant additional weight loss during the next month of home care.  A random sample of 16 adults includes the following data, in pounds, which measures their weights immediately upon leaving the in-patient program (pre-test) and again after one month of home maintenance of the weight loss program (post-test).   Pre-Test 315 280 350 300 420 380 225 360 Post-Test 295 285 335 320 400 350 225 340   Pre-Test 295 360 240 305 310 255 300 360 Post-Test 280 345 245 320 300 250 305 360   At the 5% level of significance, test the claim.  [COMMENTS & HINTS:  Utilize the test sheet and keep it handy when answering these questions.  Note that this is one collection of matched pair data, with 16 pairs.  The data is stacked to fit the page.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section: Chapter Questions
Problem 8SGR
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Directions: Answer the following questions and solving the following problems for the following context.

After medically-supervised obese adults leave a six-month in-patient treatment program of diet and exercise to foster healthy weight loss, these patients are monitored as they transition back into their own homes.  Clinical dieticians are curious if there is significant additional weight loss during the next month of home care.  A random sample of 16 adults includes the following data, in pounds, which measures their weights immediately upon leaving the in-patient program (pre-test) and again after one month of home maintenance of the weight loss program (post-test).

 

Pre-Test

315

280

350

300

420

380

225

360

Post-Test

295

285

335

320

400

350

225

340

 

Pre-Test

295

360

240

305

310

255

300

360

Post-Test

280

345

245

320

300

250

305

360

 

At the 5% level of significance, test the claim.  [COMMENTS & HINTS:  Utilize the test sheet and keep it handy when answering these questions.  Note that this is one collection of matched pair data, with 16 pairs.  The data is stacked to fit the page.

 

 

QUESTION 17
How does the test statistic compare against the critical value under the corresponding tail of the probability distribution?
The test statistic is less than or does not exceed the critical value.
The test statistic is greater than or exceeds the critical value.
The test statistic is equal to the critical value.
It cannot be determined at this time if the test statistic is less than, greater than or equal to the critical value.
QUESTION 18
According to the spreadsheet output, what is the p-value, expressed as a percentage rounded to two decimal places without insignificant digits?
Transcribed Image Text:QUESTION 17 How does the test statistic compare against the critical value under the corresponding tail of the probability distribution? The test statistic is less than or does not exceed the critical value. The test statistic is greater than or exceeds the critical value. The test statistic is equal to the critical value. It cannot be determined at this time if the test statistic is less than, greater than or equal to the critical value. QUESTION 18 According to the spreadsheet output, what is the p-value, expressed as a percentage rounded to two decimal places without insignificant digits?
QUESTION 12
According to the spreadsheet output, what is the mean post-test weight for the test subjects, rounded to the nearest whole pound?
QUESTION 13
What are the degrees of freedom, df?
Transcribed Image Text:QUESTION 12 According to the spreadsheet output, what is the mean post-test weight for the test subjects, rounded to the nearest whole pound? QUESTION 13 What are the degrees of freedom, df?
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QUESTION 14
According to the spreadsheet output, what is the value of the appropriate test statistic, rounded to three digits?


 

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