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 (Before) of the diet and then one month later (After). The accompanying data file shows the results. 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. Ho: Test statistic b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. Note: Round final answer to 2 decimal places. c. Find the p-value. 5; versus HA: O p-value < 0.01 O 0.05 s p-value < 0.10 O p-value 20.10 O 0.025 s p-value < 0.05 O 0.01 s p-value < 0.025 5 d. At the 5% significance level, do the data support the diet center's claim? O No, since the p-value is less than a. O Yes, since the p-value is more than a. O Yes, since the p-value is less than a. O No, since the p-value is more than a.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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 (Before) of the diet and then
one month later (After). The accompanying data file shows the results.
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.
Ho:
Test statistic
b. Assuming that weight loss is normally distributed, calculate the value of the test statistic.
Note: Round final answer to 2 decimal places.
c. Find the p-value.
5; versus HA:
O p-value < 0.01
O 0.05 ≤ p-value < 0.10
O p-value ≥ 0.10
O 0.025 s p-value < 0.05
O 0.01 ≤ p-value < 0.025
5
d. At the 5% significance level, do the data support the diet center's claim?
O No, since the p-value is less than a.
O Yes, since the p-value is more than a.
Yes, since the p-value is less than a.
O No, since the p-value is more than a.
Transcribed Image Text: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 (Before) of the diet and then one month later (After). The accompanying data file shows the results. 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. Ho: Test statistic b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. Note: Round final answer to 2 decimal places. c. Find the p-value. 5; versus HA: O p-value < 0.01 O 0.05 ≤ p-value < 0.10 O p-value ≥ 0.10 O 0.025 s p-value < 0.05 O 0.01 ≤ p-value < 0.025 5 d. At the 5% significance level, do the data support the diet center's claim? O No, since the p-value is less than a. O Yes, since the p-value is more than a. Yes, since the p-value is less than a. O No, since the p-value is more than a.
Client
1
2
W|N
3
4
5
6
Weight on First Day of Diet
176
205
188
189
185
189
Weight One Month Later
169
218
187
197
162
147
Transcribed Image Text:Client 1 2 W|N 3 4 5 6 Weight on First Day of Diet 176 205 188 189 185 189 Weight One Month Later 169 218 187 197 162 147
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