One of the factors that determines the degree of risk a pesticide poses to human health is the rate at which it is absorbed into the skin after contact. An important question is whether the amount in the Skin continues to increase with the length of the contact, or whether it increases for only a short time Before leveling off. To investigate this, measured amounts of a certain pesticide were applied to 20 Samples of rat skin. Four skins were analyzed at each of the time intervals 1, 2, 4, 10, and 24 hours. The Amounts of the chemical (in micrograms) that were in the skin are given in the following table:
$\begin{array} { c c c c c }
\text { Duration } & & & & \
1 & 1.2 & 1.5 & 1.3 & 1.7 \
2 & 1.1 & 1.4 & 1.2 & 1.6 \
4 & 1.4 & 1.4 & 1.2 & 1.7 \
10 & 1.6 & 1.7 & 1.5 & 2.0 \
24 & 1.7 & 1.8 & 1.8 & 1.9
\end{array}$
Perform the Tukey-Kramer test to determine which pairs of means, if any, differ. Use the $a = 0.05$ level of Significance.
A) $\mu _ { 2 } \neq \mu _ { 10 }$
B) There is not enough evidence to conclude that any of the means differ.
C) $\mu _ { 2 } \neq \mu _ { 24 } , \mu _ { 2 } \neq \mu _ { 10 }$
D) $\mu _ { 2 } \neq \mu _ { 24 }$

Question

One of the factors that determines the degree of risk a pesticide poses to human health is the rate at which it is absorbed into the skin after contact. An important question is whether the amount in the Skin continues to increase with the length of the contact, or whether it increases for only a short time Before leveling off. To investigate this, measured amounts of a certain pesticide were applied to 20 Samples of rat skin. Four skins were analyzed at each of the time intervals 1, 2, 4, 10, and 24 hours. The Amounts of the chemical (in micrograms) that were in the skin are given in the following table: 
$\begin{array} { c c c c c } 
\text { Duration } & & & & \
1 & 1.2 & 1.5 & 1.3 & 1.7 \
2 & 1.1 & 1.4 & 1.2 & 1.6 \
4 & 1.4 & 1.4 & 1.2 & 1.7 \
10 & 1.6 & 1.7 & 1.5 & 2.0 \
24 & 1.7 & 1.8 & 1.8 & 1.9
\end{array}$
 Perform the Tukey-Kramer test to determine which pairs of means, if any, differ. Use the $a = 0.05$ level of Significance. 
A) $\mu _ { 2 } \neq \mu _ { 10 }$
B) There is not enough evidence to conclude that any of the means differ.
C) $\mu _ { 2 } \neq \mu _ { 24 } , \mu _ { 2 } \neq \mu _ { 10 }$
D) $\mu _ { 2 } \neq \mu _ { 24 }$

Quizplus · Accepted Answer

The Answer of One of the factors that determines the degree of risk a pesticide poses to human health is the rate at which it is absorbed into the skin after contact. An important question is whether the amount in the Skin continues to increase with the length of the contact, or whether it increases for only a short time Before leveling off. To investigate this, measured amounts of a certain pesticide were applied to 20 Samples of rat skin. Four skins were analyzed at each of the time intervals 1, 2, 4, 10, and 24 hours. The Amounts of the chemical (in micrograms) that were in the skin are given in the following table: 
$\begin{array} { c c c c c } 
\text { Duration } & & & & \
1 & 1.2 & 1.5 & 1.3 & 1.7 \
2 & 1.1 & 1.4 & 1.2 & 1.6 \
4 & 1.4 & 1.4 & 1.2 & 1.7 \
10 & 1.6 & 1.7 & 1.5 & 2.0 \
24 & 1.7 & 1.8 & 1.8 & 1.9
\end{array}$
 Perform the Tukey-Kramer test to determine which pairs of means, if any, differ. Use the $a = 0.05$ level of Significance. 
A) $\mu _ { 2 } \neq \mu _ { 10 }$
B) There is not enough evidence to conclude that any of the means differ.
C) $\mu _ { 2 } \neq \mu _ { 24 } , \mu _ { 2 } \neq \mu _ { 10 }$
D) $\mu _ { 2 } \neq \mu _ { 24 }$

One of the Factors That Determines the Degree of Risk