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?

Question

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?

Quizplus · Accepted Answer

The Answer of 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?

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