The Data Below Are the Gestation Periods, in Months, of Randomly

question 34

Short Answer

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life
spans, in years. Construct a 95% prediction interval for y, the life span, given x = 10 months, ŷ = 1.523x + 6.343,
and $\mathrm { S } \mathrm { e }$ = 5.618. Round interval to two decimal places. $$\begin{array} { l | l l l l l l l l } \text { Gestation, } \mathrm { x } & 8 & 2.1 & 1.3 & 1 & 11.5 & 5.3 & 3.8 & 24.3 \\\hline \text { Life span, } \mathrm { y } & 30 & 12 & 6 & 3 & 25 & 12 & 10 & 40\end{array}$$

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Definitions:

Statistic

A numerical measure that describes an aspect of a sample of data, such as its mean or variance.

Population

The entire pool from which a statistical sample is drawn and to which the researcher intends the results to apply.

Sample Standard Deviation

A statistic measuring the dispersion or variability of a set of sample data points around the mean.

Population Standard Deviation

A measure of the dispersion or spread of all values in a population.