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 2 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 1 170 174 2 199 201 3 168 163 4 197 177 5 153 151 6 127 134 Let the difference be defined as Before - After. a. Specify the null and alternative hypotheses that test the diet center's claim. H0: μD ≤ 2; HA: μD > 2 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.

          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 2 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
170
174
2
199
201
3
168
163
4
197
177
5
153
151
6
127
134
Let the difference be defined as Before - After.
a.
Specify the null and alternative hypotheses that test the diet
center's claim.
H0: μD ≤ 2; HA: μD > 2 
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.

Added by Gordon H.

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