An Experimental Diet to Induce Weight Loss Was Followed for One

question 38

Short Answer

An experimental diet to induce weight loss was followed for one week by a randomly selected group of 12 students with the following results.
$\begin{array}{cc}\text { student }&\text { Loss in Pounds }\\1 & 2.2 \\2 & 2.6 \\3 & 0.4 \\4 & 2.0 \\5 & 0.0 \\6 & 1.8 \\7 & 5.2 \\8 & 3.8 \\9 & 4.2 \\10 & 3.8 \\11 & 1.4\\12&2.6\end{array}$
a. Find a point estimate for the average amount lost after one week on this diet. Is this an unbiased estimate of the population mean? Explain.
b. Find a point estimate for the variance of the amount lost on this diet. Is this an unbiased estimate of the population variance? Explain.
c. Find a point estimate for the standard deviation of the amount lost on this diet.

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Definitions:

Commodity

A fundamental item utilized in trade that is exchangeable with other items of identical nature.

Rough Order Magnitude (ROM) Estimate

An early, approximate evaluation of the potential costs associated with a project, used for preliminary budgeting and planning purposes.

Ballpark Estimate

An approximate calculation or judgment of the value, number, quantity, or extent of something, intended to provide a rough understanding rather than precise accuracy.

Synchronous Communication

Synchronous communication refers to real-time exchanges where participants are present at the same time, such as in meetings or live chats.