Weight on First Day of Diet 163 207 Weight One Month Later 157 204 182 Client 2 3 4 179 193 169 159 179 159 135
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 4 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)
(Image is table)
a. Specify the null and alternative hypotheses that test the diet center’s claim.
(Which is Correct)
-
H0: μD = 4; HA: μD ≠ 4
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H0: μD ≥ 4; HA: μD < 4
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H0: μD ≤ 4; HA: μD > 4
b. Assuming that weight loss is
Test Statistic =
c. Find the p-value.
-
p-value < 0.01
- 0.05 ≤ p-value < 0.10
- p-value ≥0.10
- 0.025≤ p-value < 0.05
- 0.01 ≤ p-value < 0.025
d. At the 5% significance level, do the data support the diet center’s claim?
- No, since the p-value is less than α.
- Yes, since the p-value is more than α.
- Yes, since the p-value is less than α.
- No, since the p-value is more than α.
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