a. Specify the null and alternative hypotheses that test the diet center's claim. Ho: µD = 2; HA: µD * 2 O Ho: up 2 2; HA: uD < 2 O Ho: µp s 2; HA: uD > 2 b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
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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 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. (You may find it useful to reference the appropriate table: z table or t table)
TTT
Weight on Weight One
First Day
of Diet
Month
Client
Later
1
163
161
2
204
196
3
191
189
4
206
178
171
162
153
136
B 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: uD = 2; HA: up * 2
Ho: up 2 2; HA: up < 2
Ho: µD s 2; HA: µD > 2
b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate
calculations to at least 4 decimal places and final answer to 2 decimal places.)
Test statistic
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 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. (You may find it useful to reference the appropriate table: z table or t table) TTT Weight on Weight One First Day of Diet Month Client Later 1 163 161 2 204 196 3 191 189 4 206 178 171 162 153 136 B 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: uD = 2; HA: up * 2 Ho: up 2 2; HA: up < 2 Ho: µD s 2; HA: µD > 2 b. Assuming that weight loss is normally distributed, calculate the value of the test statistic. (Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) Test statistic
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