Construct a 95% Z-Interval or a 95% T-Interval About the Population

question 16

Multiple Choice

Construct a 95% Z-interval or a 95% t-interval about the population mean. Assume the data come from a population that
is approximately normal with no outliers.
-The heights of 20 - to 29 -year-old females are known to have a population standard deviation $\sigma = 2.7$ inches. A simple random sample of $n = 15$ females 20 to 29 years old results in the following data:
$\begin{array}{lllll}63.1 & 67.9 & 64.8 & 62.2 & 65.4 \\\hline 63.3 & 66.2 & 68.2 & 69.7 & 64.1 \\\hline 68.4 & 69.9 & 67.3 & 64.5 & 70.2\end{array}$

• A) \(( 64.98,67.72 )\); we are \(95 \%\) confident that the mean height of 20 - to 29 -year-old females is between \(64.98\) and \(67.72\) inches.
• B) \(( 64.85,67.85 )\); we are \(95 \%\) confident that the mean height of 20 - to 29 -year-old females is between \(64.85\) and \(67.85\) inches.
• C) \(( 65.12,67.58 )\); we are \(95 \%\) confident that the mean height of 20 - to 29 -year-old females is between \(65.12\) and \(67.58\) inches.
• D) \(( 65.20,67.50 )\); we are \(95 \%\) confident that the mean height of 20 - to 29 -year-old females is between \(65.20\) and \(67.50\) inches.

Articulate various components of a nominal interest rate.

Describe the influence of interest rate risk on bond portfolio management.

Understand the significance of different credit ratings in assessing the financial health of an entity.

Comprehend the term structure of interest rates and its implications on financial markets.

---

Definitions:

Indifference Curve

A graph representing combinations of various goods or bundles of goods giving the consumer equal satisfaction and utility, thus making the consumer indifferent.

Weighted

Weighted refers to giving different elements in a data set or equation varying levels of importance or influence, often according to their relevance or significance.

Binary Relation

A mathematical concept describing a relation between two elements, typically in the context of sets.

Reflexive

pertains to relations where an element is always related to itself, or in social theories, where actions or processes mirror and affect each other within a system.