The Data Below Are the Scores of 10 Randomly Selected $$s _ { \mathrm { e } }$$

question 51

Multiple Choice

The data below are the scores of 10 randomly selected students from a statistics class and the number of hours they studied for the exam. Construct a 95% prediction interval for y, the score on the final exam, given x = 7
Hours,? = 5.044x + 56.11 and $$s _ { \mathrm { e } }$$ = 6.305. Round interval to two decimal places. $$\begin{array} { l | c | c | c | c | c | c | c | c | c | c | } \text { Hours, } \mathrm { x } & 3 & 5 & 2 & 8 & 2 & 4 & 4 & 5 & 6 & 3 \\\hline \text { Scores, } \mathrm { y } & 65 & 80 & 60 & 88 & 66 & 78 & 85 & 90 & 90 & 71\end{array}$$

• A) \(74.54 < y < 108.30\)
• B) \(55.43 < y < 78.19\)
• C) \(77.21 < y < 110.45\)
• D) \(79.16 < y < 112.34\)

---

Definitions:

Leptin

A hormone produced by fat cells that helps to regulate energy balance by inhibiting hunger.

Major Mineral

Essential minerals required by the body in relatively large amounts for various physiological functions.

Copper

A chemical element with the symbol Cu and atomic number 29, known for its high thermal and electrical conductivity, commonly used in electrical equipment and plumbing.

Total Metabolic Rate

The total amount of energy expended by an organism in a given time period to maintain all bodily functions while at rest.