Question

A diet center claims that it has the most effective weight loss program in the region. Its advertisements say, “Participants in our program lose more than 3 pounds within a month.” Six clients of this program are weighed on the first day of the diet and then one month later. Let the difference be defined as Weight on First Day of Diet minus Weight One Month Later. (You may find it useful to reference the appropriate table: z table or t table)

Client	Weight on First Day of Diet	Weight One Month Later
1	180	168
2	251	241
3	186	180
4	212	190
5	172	162
6	158	147

Let the difference be defined as Before – After.

b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Answer 1

Using Excel<data<megastat<hypothesis test<Paired test

Hypothesis Test: Paired Observations
	3.000	hypothesized value
	193.167	mean Weight on First Day of Diet
	181.333	mean Weight One Month Later
	11.833	mean difference (Weight on First Day of Diet - Weight One Month Later)
	5.382	std. dev.
	2.197	std. error
	6	n
	4.02	z
	.0051	p-value (one-tailed, upper)

b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.)

Answer: Test Statistic= 4.02