Final answer:
The calculated average of sick days from the sample is 8.375 days, which suggests that the personnel team should consider the actual mean number of sick days to be less than the presumed 10 days. However, this is based on a small sample size, and further examination with a larger sample would be more conclusive. Option B is the correct answer.
Step-by-step explanation:
To determine whether the personnel team should believe the mean number of sick days is 10, we need to calculate the actual average from the sampled data. The sample includes these numbers of sick days: 12, 4, 15, 3, 11, 8, 6, 8. Adding these together, we get a total of 67 sick days. Dividing this total by the number of employees surveyed (8), gives us an average of 8.375 sick days. Therefore, based on this sample, it would appear that the mean number of sick days is less than 10.
When looking at broader health implications and the economy, we notice that regional variations and the prevalence of chronic illnesses can significantly affect the average number of sick days taken by employees, including nurses. These variations may also have profound economic implications for businesses in the area.
For the question regarding the average length of a maternity stay in a U.S. hospital, let X be the mean length in days. The specified mean is 2.4 days, with a standard deviation of 0.9 days, indicating variability in the length of hospital stays among the sampled women.
Considering the available data and the Gallup Poll information, statistical methods such as the student's t-distribution can be applied to determine if the mean sick days or hospital visits exceed certain numbers, as suggested by the aforementioned questions.
In conclusion, based on the sample provided, the average of 8.375 sick days suggests that the full-time nurses at the hospital take less than the assumed average of 10 days. Therefore, option b. 10 days would not be correct. However, since the sample size is small, further investigation with a larger sample size would be warranted to increase confidence in this finding.