Hand washing versus hand rubbing. Refer to the British Medical Journal(August 17, 2002) study comparing the effectiveness of hand washing with soap and hand rubbing with alcohol, presented in Exercise. Health care workers who used hand rubbing had a mean bacterial count of 35 per hand with a standard deviation of 59. Health care workers who used hand washing had a mean bacterial count of 69 per hand with a standard deviation of 106. In a random sample of 50 health care workers, all using the same method of cleaning their hands, the mean bacterial count per hand () is less than 30. Give your opinion on whether this sample of workers used hand rubbing with alcohol or hand washing with soap.
Hand washing versus hand rubbing. In hospitals, washing the hands with soap is emphasized as the single most important measure in the prevention of infections. As an alternative to hand washing, some hospitals allow health workers to rub their hands with an alcohol-based antiseptic. The British Medical Journal(Aug. 17, 2002) reported on a study to compare the effectiveness of washing the hands with soap and rubbing the hands with alcohol. One group of health care workers used hand rubbing, while a second group used hand washing to clean their hands. The bacterial count (number of colony-forming units) on the hand of each worker was recorded. The table gives descriptive statistics on bacteria counts for the two groups of health care workers.
| Mean | Standard Deviation |
Hand rubbing | 35 | 59 |
Hand washing | 69 | 106 |
a. For hand rubbers, form an interval that contains at least 75% of the bacterial counts. (Note: The bacterial count cannot be less than 0.)
b. Repeat part a for hand washers.
a. For hand rubbers, form an interval that contains at least 75% of the bacterial counts. (Note: The bacterial count cannot be less than 0.)
c. On the basis of your results in parts a and b, make an inference about the effectiveness of the two hand cleaning methods.
a. For hand rubbers, form an interval that contains at least 75% of the bacterial counts. (Note: The bacterial count cannot be less than 0.)
b. Repeat part a for hand washers.
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