Provide an Appropriate Response A)(i) Without Doing Any Calculations, Decide for Which City the Cases

question 145

Multiple Choice

Provide an appropriate response.
-Following is the number of reported cases of influenza for two cities for the years 1996 through 2005: $\begin{array}{|lcccccccccc|}\hline \text { City A } & 1163 & 1954 & 1487 & 1864 & 1779 & 1244 & 1332 & 1299 & 1353 & 1802 \\\hline \text { City B } & 937 & 1023 & 843 & 829 & 965 & 1011 & 943 & 831 & 976 & 858 \\\hline\end{array}$

• A)(i) Without doing any calculations, decide for which city the standard deviation of the number cases of influenza is larger. Explain.
• (ii) Find the individual population standard deviations of the number of cases of influenza. Round your final answer to two decimal places. Compare these answers with part (i).
• (i) The range of the values for City A is 767 , while it is only 121 for City B, so City A is likely to have the larger standard deviation.
• (ii) City A's population standard deviation is 261.80; City B's population standard deviation is \(69.47\), so City A did have the larger standard deviation.
• B) (i) The range of the values for City A is 791, while it is only 192 for City B, so City A is likely to have the larger standard deviation.
• (ii) City A's population standard deviation is 278.43; City B's population standard deviation is 71.25, so City A did have the larger standard deviation.
• C) (i) The range of the values for City \(\mathrm { A }\) is 767 , while it is only 121 for City B, so City A is likely to have the larger standard deviation.
• (ii) City A's population standard deviation is 277.37; City B's population standard deviation is 72.01, so City A did have the larger standard deviation.
• D) (i) The range of the values for City A is 791, while it is only 192 for City B, so City A is likely to have the larger standard deviation.
• (ii) City A's population standard deviation is 277.40; City B's population standard deviation is 71.29, so City A did have the larger standard deviation.

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