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. Use Table 2.

Client Weight on First

Day of Diet Weight One

Month Later

1 154 157

2 209 202

3 181 184

4 200 188

5 159 166

6 158 138

Picture Click here for the Excel Data File

Let the difference be defined as Before - After.

a.

Specify the null and alternative hypotheses that test the diet center's claim.

H0: D = 3; HA: D 3

H0: D 3; HA: D < 3

H0: D 3; HA: D > 3

b.

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

Test statistic

c. Approximate the p-value.

0.050 < p-value < 0.100

0.005 < p-value < 0.010

p-value > 0.200

0.010 < p-value < 0.025

0.025 < p-value < 0.050

d.

At the 1% significance level, do the data support the diet center's claim?

No since the p-value is less than .

Yes since the p-value is more than .

Yes since the p-value is less than .

No since the p-value is more than .