Two computer stores recorded the number of computers sold in a week along with the sizes of their hard drives. At $\alpha = 0.05$, test the claim that the distribution of hard drives at store where the computers were bought are not related. $\begin{array} { l c c c c } \text { Number of computers } & 20 \text { GB drive } & 40 \text { GB drive } & 80 \text { GB drive } & 160 \text { GB driv। } \ \text { Store } 1 & 13 & 11 & 11 & 8 \ \text { Store } 2 & 104 & 33 & 15 & 10 \end{array}$ A) There is not evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 2.125 2.125 C) There is evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 7.815 2.125 D) There is evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 20.417 7.815

Question

Two computer stores recorded the number of computers sold in a week along with the sizes of their hard drives. At $\alpha = 0.05$, test the claim that the distribution of hard drives at store where the computers were bought are not related.
$\begin{array} { l c c c c } \text { Number of computers } & 20 \text { GB drive } & 40 \text { GB drive } & 80 \text { GB drive } & 160 \text { GB driv। } \ \text { Store } 1 & 13 & 11 & 11 & 8 \ \text { Store } 2 & 104 & 33 & 15 & 10 \end{array}$
A) There is not evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 2.125 < 7.815
B) There is evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 15.507 > 2.125
C) There is evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 7.815 > 2.125
D) There is evidence to reject the claim that the size of hard drive sold and the store number are not related because the test value 20.417 > 7.815

Quizplus · Accepted Answer

The correct answer involves comparing the calculated test value to the critical value from the chi-square distribution table at the given alpha level. If the test value exceeds the critical value, it indicates a significant relationship between the variables, leading to the rejection of the null hypothesis that there is no relationship.

Two Computer Stores Recorded the Number of Computers Sold in a Week