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NCLEX MEMORIAL HOSPITAL
Study of the new infectious diseases on people admitted in the hospital
Overview
They has been an increase in the late of infection
It is thought the age of patient has role in it
The available data for analysis has the age and state of infection about the patient
The patients` age is between 35 and
Data
The variables of interest are the age of patient and the state of infection
This is a qualitive research
The variables are discrete
The measurements on two variables
The level of measurement for the two variables are nominal
The measurement of center and variation gives someone the point estimate of the whole data
Measures of center
Measures of center include mean, median, mode and midrange
While the midrange gives the average of maximum and minimum, mode represent the most frequent element in the dataset
Mean on the other hand gives the central tendency or the balance point of the data
Median gives the middle value of the data given when arrange in either ascending or descending order
Measures of variation
The two measures of variation are standard deviation and the range.
They are important because they give how much the data is spread from the average or the mean of the data.
Standard deviation gives how much the data is spread from the mean while range gives the difference between the maximum and minimum of the data available
Calculated measures of center and variation
| mean | 63 |
| mode | 67 |
| median | 66 |
| maximum | 78 |
| minimum | 41 |
| midrange | 59.5 |
| range | 37 |
| variance | 95.63701 |
| standard deviation | 9.779417 |
Confidence interval
Confidence interval can be defined as interval estimate that is calculated from the statistics of the data available for observation, that may contain a true value of the unknown size of a population.
Point estimate is process of using a sample data when calculating one value which will be used as the best guess of the unknown population parameter.
Sample mean us the best estimate for the population mean.
It gives a range of possible values that the sample may take when controlling the probability that might be lower or higher than the estimated range.
95% confidence interval
Sample mean = 61 and size of sample =12
CI = 61 3.072
It is true that the age of those admitted is less than 65 since the maximum value from the CI = 64.072
Null and alternative hypothesis
Null - The average age of those infected is not above 40
Alternative - most people infected are below the age of 50
The test is two-tailed because the rejection is on both sides of normal distribution.
The type of test
t test is the suitable once since the standard deviation of the population is not known
The value of test is 61
Hypothesis rejection
The hypothesis is rejected because the test value proves that the mean is well above 40 years of age
The critical value of the above is 64.
Conclusion
The higher confidence interval gives a higher probability to cover the true value.
With a narrower confidence interval, a lower variability is realized and thereby a higher precision is achieved.