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 5 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.

Client Weight on First
Day of Diet Weight One
Month Later
1 158 151
2 205 200
3 170 169
4 189 179
5 149 144
6 135 129
PictureClick here for the Excel Data File
a. Specify the null and alternative hypotheses that test the diet center’s claim.

H0: μD = 5; HA: μD ≠ 5
H0: μD ≥ 5; HA: μD < 5
H0: μD ≤ 5; HA: μD > 5

b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Test statistic
c. Approximate the p-value.
0.025 < p-value < 0.05
0.005 < p-value < 0.01
p-value > 0.10
p-value < 0.005
0.05 < p-value < 0.10
d. At the 5% significance level, do the data support the diet center’s claim?

Yes since the p-value is less than α.
No since the p-value is more than α.
No since the p-value is less than α.
Yes since the p-value is more than α.