Assume That the Following Data Represent Baseball Batting Averages for a Random

question 13

Multiple Choice

Assume that the following data represent baseball batting averages for a random sample of National League players near the end of the baseball season. Multiply each data value by 1000 to "clear" the decimals. $$\begin{array} { l l l l l l l l l } 0.195 & 0.257 & 0.152 & 0.294 & 0.158 & 0.298 & 0.260 & 0.251 & 0.181 \\0.123 & 0.106 & 0.259 & 0.307 & 0.307 & 0.279 & 0.290 & 0.316 & 0.253 \\0.213 & 0.251 & 0.247 & 0.259 & 0.265 & 0.182 & 0.114 & 0.203 &\end{array}$$

• A)\(\begin{array} { l l l c c c c c c }
• 195 & 2570 & 152 & 294 & 158 & 298 & 260 & 251 & 181 \\
• 123 & 106 & 259 & 307 & 307 & 2790 & 2900 & 316 & 253 \\
• 213 & 251 & 247 & 259 & 265 & 1820 & 114 & 203 &
• \end{array}\)
• B)\(\begin{array} { l l l l l l l l l }
• 195 & 257 & 152 & 294 & 158 & 298 & 260 & 251 & 181 \\
• 123 & 106 & 259 & 307 & 307 & 279 & 290 & 316 & 253 \\
• 213 & 251 & 247 & 259 & 265 & 182 & 114 & 203 &
• \end{array}\)
• C)\(\begin{array} { r r r r r r r r r }
• 195 & 2570 & 1520 & 294 & 158 & 298 & 260 & 2510 & 181 \\
• 123 & 106 & 259 & 307 & 307 & 2790 & 2900 & 316 & 253 \\
• 213 & 251 & 247 & 259 & 2650 & 1820 & 114 & 203 &
• \end{array}\)
• D)\(\begin{array} { c c c c c c c c c c }
• 195 & 152 & 257 & 294 & 158 & 298 & 260 & 181 & & \\
• 251 & 123 & 106 & 259 & 307 & 307 & 290 & 279 & 316 & 253 \\
• 213 & 251 & 247 & 259 & 265 & 182 & 114 & 203 & &
• \end{array}\)
• E)\(\begin{array} { l l l l l l l l l }
• 195 & 2570 & 257 & 294 & 158 & 298 & 260 & 2510 & 181 \\
• 123 & 106 & 259 & 307 & 307 & 279 & 290 & 316 & 253 \\
• 213 & 251 & 247 & 259 & 265 & 114 & 182 & 203 &
• \end{array}\)

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Definitions:

T Distribution

A type of probability distribution that is symmetric, bell-shaped, and used in hypothesis testing, especially for small sample sizes.

One-tailed Test

A hypothesis test in which the region of rejection is located entirely in one tail of the probability distribution, focusing on directionality of effects.

Sample Size

The total number of observations or elements drawn from a population to constitute a sample, critical for determining the representativeness and accuracy of results.

Life Expectancy

The average number of years a person or organism is expected to live, based on the statistical analysis of a particular population.