Eight cultures of a bacterium are split in half. One half is tested using a standard antibiotic the other half is tested using a new antibiotic. The data values given are the times taken to the bacterium. Use an appropriate hypothesis test to assess whether there is any evidence the new antibiotic is quicker than the standard antibiotic. Bacterium Culture Standard Antibiotic New Antibiotic 23.6 22.5 2 27.9 25.6 3 22.9 24.0

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Eight cultures of a bacterium are split in half. One half is tested using a standard antibiotic and the other half is tested using a new antibiotic. The data values given are the times taken to kill the bacterium. Use an appropriate hypothesis test to assess whether there is any evidence that the new antibiotic is quicker than the standard antibiotic.

| Bacterium Culture | Standard Antibiotic | New Antibiotic |
|-------------------|---------------------|----------------|
| 1                 | 23.6                | 22.5           |
| 2                 | 27.9                | 25.6           |
| 3                 | 22.9                | 24.0           |
| 4                 | 21.8                | 20.4           |
| 5                 | 25.8                | 26.0           |
| 6                 | 30.7                | 26.6           |
| 7                 | 26.5                | 26.4           |
| 8                 | 25.4                | 22.1           |
Transcribed Image Text:Eight cultures of a bacterium are split in half. One half is tested using a standard antibiotic and the other half is tested using a new antibiotic. The data values given are the times taken to kill the bacterium. Use an appropriate hypothesis test to assess whether there is any evidence that the new antibiotic is quicker than the standard antibiotic. | Bacterium Culture | Standard Antibiotic | New Antibiotic | |-------------------|---------------------|----------------| | 1 | 23.6 | 22.5 | | 2 | 27.9 | 25.6 | | 3 | 22.9 | 24.0 | | 4 | 21.8 | 20.4 | | 5 | 25.8 | 26.0 | | 6 | 30.7 | 26.6 | | 7 | 26.5 | 26.4 | | 8 | 25.4 | 22.1 |
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