A New Weight-Reducing Technique, Consisting of a Liquid Protein Diet

question 66

Essay

A new weight-reducing technique, consisting of a liquid protein diet, is currently undergoing tests by the Food and Drug Administration (FDA) before its introduction into the market. The weights of a random sample of five people are recorded before they are introduced to the liquid protein diet. The five individuals are then instructed to follow the liquid protein diet for 3 weeks. At the end of this period, their weights (in pounds) are again recorded. The results are listed in the table. Let µ₁ be the true mean weight of
individuals before starting the diet and let µ₂ be the true mean weight of individuals after 3 weeks on the diet.
$$\begin{array}{l}\begin{array} { c c c } \text { Person } & \text { Weight Before Diet } & \text { Weight After Diet } \\1 & 147 & 140 \\2 & 192 & 187 \\3 & 185 & 182 \\4 & 194 & 188 \\5 & 201 & 197\end{array}\\\text { Summary information is as follows: } \bar { d } = 5 , s _ { d } = 1.58 \text {. }\end{array}$$
Calculate a 90% confidence interval for the difference between the mean weights before and after the diet is used.

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Definitions:

Permanent

Refers to accounts or records in the general ledger that are not closed at the end of the accounting period, such as assets, liabilities, and equity accounts.

Temporary

Not permanent; lasting for a limited period of time or intended for short-term use.

Employer's Payroll Tax

Taxes that employers are required to pay on behalf of their employees, which may include contributions to social security, Medicare, and unemployment taxes.