At the Same Time Each Day, a Researcher Records the Temperature

question 22

Essay

At the same time each day, a researcher records the temperature in each of three greenhouses. The table shows the temperatures in degrees Fahrenheit recorded for one week. $$\begin{array} { c | c | c } \text { Greenhouse \#1 } & \text { Greenhouse \#2 } & \text { Greenhouse \#3 } \\\hline 73 & 71 & 67 \\72 & 69 & 63 \\73 & 72 & 62 \\66 & 72 & 61 \\68 & 65 & 60 \\71 & 73 & 62 \\72 & 71 & 59\end{array}$$ i)Use a 0.05 significance level to test the claim that the average temperature is the same in each greenhouse. ii)How are the analysis of variance results affected if the same constant is added to every one of the original sample values?

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Definitions:

Nonprobabilistic Sampling

A sampling method where the elements of the population do not have a known or equal chance of being selected.

Probabilistic

Pertaining to the use of or grounded in the theory of probability and the randomness of outcomes.

Stratified

A sampling method that involves dividing a population into smaller groups, known as strata, that share similar characteristics.

Cluster

A grouping of similar items, individuals, or data points among a set of data.