In 2003, the Accreditation Council for Graduate Medical Education (ACGME) implemented new rules limiting work hours for all residents. A key component of these rules is that residents should work no more than 80 hours per week. The following is the number of weekly hours worked in 2016 by a sample of residents at the Tidelands Medical Center. 77 81 86 84 82 85 87 84 84 84 85 78 a) What is the point estimate of the population mean? (Round your answer to 2 decimal places.) b) Develop a 98% confidence interval for the population mean. (Use t Distribution Table.) (Round your answers to 2 decimal places.) Confidence interval for the populationmean ______ and ___________
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
In 2003, the Accreditation Council for Graduate Medical Education (ACGME) implemented new rules limiting work hours for all residents. A key component of these rules is that residents should work no more than 80 hours per week. The following is the number of weekly hours worked in 2016 by a sample of residents at the Tidelands Medical Center.
| 77 | 81 | 86 | 84 | 82 | 85 | 87 | 84 | 84 | 84 | 85 | 78 |
a) What is the point estimate of the population mean? (Round your answer to 2 decimal places.)
b) Develop a 98% confidence interval for the population mean. (Use t Distribution Table.) (Round your answers to 2 decimal places.)
Confidence interval for the populationmean ______ and ___________
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