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.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 1SE: What term is used to express the likelihood of an event occurring? Are there restrictions on its...
icon
Related questions
Question

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.

 

QUESTION 19
As a reminder, what is the level of significance in this statistical analysis?
Express the answer as a whole percentage with percent symbol.
QUESTION 20
How does the p-value compare against the level of significance, a, under the corresponding tail of the probability distribution?
The p-value is less than or does not exceed the level of significance, (a).
The p-value is greater than or exceeds the level of significance, (x).
The p-value is equal to the level of significance, (a).
It cannot be determined at this time if the p-value is less than, greater than or equal to the level of significance, (a)
QUESTION 21
What is the technical conclusion to this hypothesis testing?
Reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.
Marginally reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.
Highly reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.
Fail to reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.
Marginally fail to reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.
O Highly fail to reject the null hypothesis based on the available evidence (matched pair samples of size of 16) and testing at the 5% level of significance.
QUESTION 22
What is the contextual conclusion to this hypothesis testing?
It is unreasonable to claim that there is no difference in mean weights from pre-test to post-test, based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.
It is marginally unreasonable to claim that there is no difference in mean weights from pre-test to post-test, based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.
It is highly unreasonable to claim that there is no difference in mean weights from pre-test to post-test, based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.
It is reasonable to claim that there is no difference in mean weights from pre-test to post-test, based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.
It is marginally reasonable to claim that there is no difference in mean weights from pre-test to post-test, based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.
It is highly reasonable to claim that the mean amount of food purchased is $200, based on the available evidence (sample size of 64) and testing at the 5% level of significance.
QUESTION 23
How statistically interesting is this finding?
It is statistically insignificant and uninteresting.
It is marginally statistically insignificant and uninteresting.
It is highly statistically insignificant and uninteresting.
It is statistically significant and interesting.
It is marginally statistically significant and interesting.
It is highly statistically significant and interesting.
O O O
Transcribed Image Text:QUESTION 19 As a reminder, what is the level of significance in this statistical analysis? Express the answer as a whole percentage with percent symbol. QUESTION 20 How does the p-value compare against the level of significance, a, under the corresponding tail of the probability distribution? The p-value is less than or does not exceed the level of significance, (a). The p-value is greater than or exceeds the level of significance, (x). The p-value is equal to the level of significance, (a). It cannot be determined at this time if the p-value is less than, greater than or equal to the level of significance, (a) QUESTION 21 What is the technical conclusion to this hypothesis testing? Reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance. Marginally reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance. Highly reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance. Fail to reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance. Marginally fail to reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance. O Highly fail to reject the null hypothesis based on the available evidence (matched pair samples of size of 16) and testing at the 5% level of significance. QUESTION 22 What is the contextual conclusion to this hypothesis testing? It is unreasonable to claim that there is no difference in mean weights from pre-test to post-test, based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance. It is marginally unreasonable to claim that there is no difference in mean weights from pre-test to post-test, based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance. It is highly unreasonable to claim that there is no difference in mean weights from pre-test to post-test, based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance. It is reasonable to claim that there is no difference in mean weights from pre-test to post-test, based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance. It is marginally reasonable to claim that there is no difference in mean weights from pre-test to post-test, based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance. It is highly reasonable to claim that the mean amount of food purchased is $200, based on the available evidence (sample size of 64) and testing at the 5% level of significance. QUESTION 23 How statistically interesting is this finding? It is statistically insignificant and uninteresting. It is marginally statistically insignificant and uninteresting. It is highly statistically insignificant and uninteresting. It is statistically significant and interesting. It is marginally statistically significant and interesting. It is highly statistically significant and interesting. O O O
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 16 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax