) A new dietary program was implemented to increase weight (in pounds) of children who were being treated for malnourishment.

The results of 7 children were recorded before the program and one month after the program started.

The results are displayed below and are also available in an Excel File provided:

Patient ID	1	2	3	4	5	6	7
Before Wt (lb)	98	121	105	105	110	89	100
After Wt (lb)	106	124	109	105	107	87	104

Assume the weights before and after the program are approximately normally distributed, and the weight difference is also normally distributed. Thus you do not need to graph these data to check the normality assumption.

The program director claims that the new program is effective in increasing the weight, on average, in malnourished children. Perform a hypothesis test to test the claim the intervention increases weight on average. Include a 95% CIfor the average weight change.

Complete the usual steps of hypothesis testing such as

• State the type of hypothesis test.
• State the null and alternative hypothesis in words (that apply to this scenario) and symbols.
• Check any assumptions including addressing whether normality is needed or if It is met. Explain briefly.
• Calculate the test-statistic (either by hand or using STATA). Show a few interim steps as practical.
• Calculate the p-value.
• State the degrees of freedom if appropriate.
• If you use software, state the command you used and/or include a portion of the output. If you used a table, state that. If doing calculations by hand, show all work.
• Interpret the p-value for a non-statistician in the context of the problem. [The p-value is a probability .... What is it the probability in THIS problem? Do NOT use the words "null hypothesis."] Do NOT simply state whether or not the result is statistically significant.
• What (if anything) can we conclude about the average difference in the weights? Do we have evidence of 'no change'?