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 isone collection of matched pair data, with 16 pairs. The data is stacked to fit the page. Are the samples dependent or independent? Be sure to state the hypotheses in appropriate manners. To avoid tedious manual calculations,please utilize software or spreadsheets! It is expected. Stateboth the technicaland the interpretive or contextual conclusions.]

Question 3)

What is the sample size for this matched pair data collection?

a)8

b)16

c)24

d)32

Question 8)

The alternative or research hypothesis can be appropriately written in words as which of the following?

a) H1:The population mean weight pre-test is less than the population mean weight loss post-test.

b) H1:The population mean weight pre-test is not equal to the population mean weight loss post-test.

c) H1:The population mean weight pre-test is greater than the population mean weight loss post-test.

d)H0: The population mean weight pre-test is not equal to the population mean weight loss post-test.

Question 9)

The alternative or research hypothesis can be written symbolically as which of the following?

a)H1: Hpre-test

b)H1: Hpre-test=/(no equal symbol)Hpost-test or H1: Hpre-test-Hpost-test=/ (no equal symbol)0

c) H1: Hpre-test>Hpost-test or H1: Hpre-test-Hpost-test>0

d)H0: Hpre-test=/(no equal symbol)Hpost-test or H0: Hpre-test-Hpost-test=/ (no equal symbol) 0

Question 11)

According to the spreadsheet output, what is the mean pre-test weight for the test subjects, rounded to the nearest whole pound?

____________

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?

_________

Question 14)

According to the spreadsheet output, what is the value of the appropriate test statistic,rounded to three digits?

_______

Question 15)

According to the spreadsheet output, what is the appropriate critical value for the research hypothesis and type of testing: one tail or two,rounded to three digits?

___

Question 16)

In order to affirm the value of the appropriate critical value under the corresponding tail of the probability distribution, which of the following spreadsheet functions might be utilized?

a)=NORM.S.INV(100%-5%)

b)=NORM.S.INV(5%)

c)=T.INV(5%)

d)=T.INV(5%,16)

e)=T.INV(5%,15)

f)=T.INV(5%,TRUE)

Question 17)

How does the test statistic compare against the critical value under the corresponding tail of the probability distribution?

a)The test statistic is less than or does not exceed the critical value.

b)The test statistic is greater than or exceeds the critical value.

c)The test statistic is equal to the critical value

d)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 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 thep-value compare against the level of significance, , under the corresponding tail of the probability distribution?

a)Thep-value is less than or does not exceed the level of significance,(x) .

b)Thep-value is greater than or exceeds the level of significance, .

c)Thep-value is equal to the level of significance(x)

d) It cannot be determined at this time if thep-value is less than, greater than or equal to the level of significance (x)

Question 21)

What is the technical conclusion to this hypothesis testing?

a)Reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance

b)Marginally reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.

c)highly reject the null hypothesis based on the available evidence (matched pair samples of size 16) and testing at the 5% level of significance.

d)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

e)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.

f)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?

a)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)

c)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

d)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.

e)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.

f)it is marginally reasonable to claim that there is no difference in mean weights frompre-test to post-test,based on the available evidence(matched pair samples of size 16)and testing at the5%level of significance

g)it is highly reasonable to claim that the mean amount of foodpurchased is $200,based on the available evidence(sample size of64)and testing at the5%level of significance

QUESTION 23)

How statistically interesting is this finding?

a ) It is statistically insignificant and uninteresting

c ) it is marginally statistically insignificant and uninteresting

d) t is highlystatistically insignificant and uninteresting.

e) It is statistically significant and interesting

f ) It is marginally statistically significant and interesting.

g) It is highly statistically significant and interesting