Question 1 (Mandatory) (8 points)

The director for Weight Watchers International wants to determine if a change in their program results in better weight loss at the 5% significance level. The director selected 25 Weight Watcher members at random. The weight of each member was recorded at the start and end of the program 6 months later. The results are in this excel file. Weight watchers file attached below.

The weight in the column labeled "After" represents their weights six months after the start of the program and "Before" represents weights at the start of the program. Keep the Excel file open for the next 3 questions.

What are the Null and Alternate Hypotheses?

Question 1 options:

	H0: After - Before > 0; HA: After - Before 0
	H0: After - Before 0; HA: After - Before < 0
	H0: After - Before 0; HA: After - Before > 0
	H0: After - Before = 0; HA: After - Before 0

Question 2 (Mandatory) (8 points)

Continuing with the Weight Watchers data, test H0 of Question 1 using Excel Data Analysis, t-Test: Paired Two Sample for means. In Data Analysis, select the After data for Variable 1 Range.

What is the t-statistic (t-score) in the Data Analysis output?

Question 2 options:

	-7.087
	-9.321
	7.087
	9.321
	None of the answers match my calculation.

Question 3 (Mandatory) (8 points)

Continuing with the Weight Watchers data, what is the critical t-value in the Data Analysis output?

Question 3 options:

	-1.711
	-7.861
	None of the answers match my calculation.
	-5.614
	-3.645

Question 4 (Mandatory) (8 points)

Based on your analysis of the Weight Watchers data, what is your decision?

Question 4 options:

	Do not reject the NULL Hypothesis because the test statistic is less than the critical value.
	Reject the NULL Hypothesis because the test statistic is less than the critical value.
	Reject the NULL Hypothesis because the test statistic is greater than the critical value.
	Do not reject the NULL Hypothesis because the test statistic is greater than the critical value.

Weight Watchers File

	Person	Before	After
	1	176	164
	2	192	191
	3	185	176
	4	177	176
	5	196	185
	6	178	169
	7	196	196
	8	181	172
	9	158	158
	10	201	193
	11	191	185
	12	193	189
	13	176	175
	14	212	210
	15	177	173
	16	183	180
	17	210	204
	18	198	192
	19	157	152
	20	213	200
	21	161	161
	22	177	166
	23	210	203
	24	192	186
	25	178	170