Four types of bicycle tires are ridden in six different cities to see if the tires lasted about the same number of miles.If there are differences, then that tire could promote its durability to potential customers.Using the data in the table below and an alpha of 0.05, what is the appropriate decision? $$\begin{array} { l c c c c }
& \text { Tire A } & \text { Tire B } & \text { Tire C } & \text { Tire D } \
\text { City 1 } & 105 & 157 & 112 & 119 \
\text { City 2 } & 142 & 124 & 132 & 144 \
\text { City 3 } & 133 & 121 & 138 & 130 \
\text { City 4 } & 98 & 136 & 110 & 119 \
\text { City 5 } & 114 & 141 & 95 & 128 \
\text { City 6 } & 117 & 138 & 129 & 140
\end{array}$$
A)Reject the null and conclude that all four tires have the same durability.
B)Fail to reject the null and conclude that there is at least one tire whose durability is different from another tire.
C)Reject the null and conclude that there is at least one tire whose durability is different from another tire.
D)Fail to reject the null and conclude that all four tires have the same durability.
E)Fail to reject the null and conclude that the durability of tires does not change by city.

Question

Four types of bicycle tires are ridden in six different cities to see if the tires lasted about the same number of miles.If there are differences, then that tire could promote its durability to potential customers.Using the data in the table below and an alpha of 0.05, what is the appropriate decision? $$\begin{array} { l c c c c } 
& \text { Tire A } & \text { Tire B } & \text { Tire C } & \text { Tire D } \
\text { City 1 } & 105 & 157 & 112 & 119 \
\text { City 2 } & 142 & 124 & 132 & 144 \
\text { City 3 } & 133 & 121 & 138 & 130 \
\text { City 4 } & 98 & 136 & 110 & 119 \
\text { City 5 } & 114 & 141 & 95 & 128 \
\text { City 6 } & 117 & 138 & 129 & 140
\end{array}$$
A)Reject the null and conclude that all four tires have the same durability.
B)Fail to reject the null and conclude that there is at least one tire whose durability is different from another tire.
C)Reject the null and conclude that there is at least one tire whose durability is different from another tire.
D)Fail to reject the null and conclude that all four tires have the same durability.
E)Fail to reject the null and conclude that the durability of tires does not change by city.

Quizplus · Accepted Answer

The Answer of Four types of bicycle tires are ridden in six different cities to see if the tires lasted about the same number of miles.If there are differences, then that tire could promote its durability to potential customers.Using the data in the table below and an alpha of 0.05, what is the appropriate decision? $$\begin{array} { l c c c c } 
& \text { Tire A } & \text { Tire B } & \text { Tire C } & \text { Tire D } \
\text { City 1 } & 105 & 157 & 112 & 119 \
\text { City 2 } & 142 & 124 & 132 & 144 \
\text { City 3 } & 133 & 121 & 138 & 130 \
\text { City 4 } & 98 & 136 & 110 & 119 \
\text { City 5 } & 114 & 141 & 95 & 128 \
\text { City 6 } & 117 & 138 & 129 & 140
\end{array}$$
A)Reject the null and conclude that all four tires have the same durability.
B)Fail to reject the null and conclude that there is at least one tire whose durability is different from another tire.
C)Reject the null and conclude that there is at least one tire whose durability is different from another tire.
D)Fail to reject the null and conclude that all four tires have the same durability.
E)Fail to reject the null and conclude that the durability of tires does not change by city.

Four Types of Bicycle Tires Are Ridden in Six Different