Find the Range, Variance, and Standard Deviation for Each of the Two

question 175

Short Answer

Find the range, variance, and standard deviation for each of the two samples, then compare the two sets of results.
-When investigating times required for drive-through service, the following results (in seconds) were obtained.

$\begin{array}{l|l|l|l|l|l|l|l|l}\text { Restaurant A } & 120 & 123 & 153 & 128 & 124 & 118 & 154 & 110 \\\hline \text { Restaurant B } & 115 & 126 & 147 & 156 & 118 & 110 & 145 & 137\end{array}$

A) Restaurant A: $44 \mathrm { sec } ; 260.79 \mathrm { sec } ^ { 2 } ; 16.15 \mathrm { sec }$
Restaurant B: $46 \mathrm { sec } ; 245.64 \mathrm { sec } ^ { 2 } ; 15.67 \mathrm { sec }$
There is more variation in the times for restaurant A.

B) Restaurant A: 46 sec; $260.79 \mathrm { sec } ^ { 2 } ; 16.15 \mathrm { sec }$
Restaurant B: $44 \mathrm { sec } ; 285.64 \mathrm { sec } ^ { 2 } ; 16.90 \mathrm { sec }$
There is more variation in the times for restaurant $\mathrm { B }$ .

C) Restaurant A: $44 \mathrm { sec } ; 298.34 \mathrm { sec } ^ { 2 } ; 17.27 \mathrm { sec }$
Restaurant B: $46 \mathrm { sec } ; 285.64 \mathrm { sec } ^ { 2 } ; 16.90 \mathrm { sec }$
There is more variation in the times for restaurant A.

D) Restaurant A: $44 \mathrm { sec } ; 260.79 \mathrm { sec } ^ { 2 } ; 16.15 \mathrm { sec }$
Restaurant B: $46 \mathrm { sec } ; 285.64 \mathrm { sec } ^ { 2 } ; 16.90 \mathrm { sec }$
There is more variation in the times for restaurant $B$ .

• A) Restaurant A: \(44 \mathrm { sec } ; 260.79 \mathrm { sec } ^ { 2 } ; 16.15 \mathrm { sec }\)
• Restaurant B: \(46 \mathrm { sec } ; 245.64 \mathrm { sec } ^ { 2 } ; 15.67 \mathrm { sec }\)
• There is more variation in the times for restaurant A.
• B) Restaurant A: 46 sec; \(260.79 \mathrm { sec } ^ { 2 } ; 16.15 \mathrm { sec }\)
• Restaurant B: \(44 \mathrm { sec } ; 285.64 \mathrm { sec } ^ { 2 } ; 16.90 \mathrm { sec }\)
• There is more variation in the times for restaurant \(\mathrm { B }\).
• C) Restaurant A: \(44 \mathrm { sec } ; 298.34 \mathrm { sec } ^ { 2 } ; 17.27 \mathrm { sec }\)
• Restaurant B: \(46 \mathrm { sec } ; 285.64 \mathrm { sec } ^ { 2 } ; 16.90 \mathrm { sec }\)
• There is more variation in the times for restaurant A.
• D) Restaurant A: \(44 \mathrm { sec } ; 260.79 \mathrm { sec } ^ { 2 } ; 16.15 \mathrm { sec }\)
• Restaurant B: \(46 \mathrm { sec } ; 285.64 \mathrm { sec } ^ { 2 } ; 16.90 \mathrm { sec }\)
• There is more variation in the times for restaurant \(B\).