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At a Recent Music Concert, a Survey Was Conducted That

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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.  Age 62574049675443655441 Number of concerts 6543552631 Age 44485560596369403852 Number of Concerts 3245454213\begin{array}{l}\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}\end{array}  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} \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} \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. 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:

Decomposers

Organisms that break down dead or decaying organisms, contributing to the nutrient cycle by recycling nutrients back into the ecosystem.

Food Chain

The order in which one population feeds on another in an ecosystem, thereby showing the flow of energy from a detritivore (detrital food chain) or a producer (grazing food chain) to the final consumer.

Algae

A diverse group of photosynthetic organisms, ranging from unicellular microalgae to large multicellular forms, that are typically found in aquatic environments.

Insect Larvae

are the juvenile form of insects following hatching from eggs, before metamorphosing into their adult forms.

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