At a Recent Music Concert, a Survey Was Conducted That

question 199

Essay

At a recent music concert, a survey was conducted that asked a random sample of 20 people their age and how many concerts they have attended since the beginning of the year. The following data were collected. $$\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | } \hline \text { Age } & 62 & 57 & 40 & 49 & 67 & 54 & 43 & 65 & 54 & 41 \\\hline \text { Number of concerts } & 6 & 5 & 4 & 3 & 5 & 5 & 2 & 6 & 3 & 1 \\\hline\end{array}$$ $$\begin{array} { | l | c | c | c | c | c | c | c | c | c | c | } \hline \text { Age } & 44 & 48 & 55 & 60 & 59 & 63 & 69 & 40 & 38 & 52 \\\hline \text { Number of Concerts } & 3 & 2 & 4 & 5 & 4 & 5 & 4 & 2 & 1 & 3 \\\hline\end{array}$$ a. Predict with 95% confidence the number of concerts attended by a 45-year-old individual.
b. Predict with 95% confidence the average number of concerts attended by all 45-year-old individuals.

---

Definitions:

Stabilizing Selection

Natural selection acting to promote stability rather than change in a population's gene pool.

Geographical Changes

Alterations in the earth's surface, including changes in landscapes, climate, and natural environments.

Anagenesis

A sustained directional shift in a population's average characteristics.

Cladogenesis

A process in evolutionary biology where a species splits into two distinct species, rather than evolving as a single lineage, leading to increased biodiversity.