Deliverable 7 – statistical analysis report
Introduction:
- Brief overview of the scenario and variables in the data set
The NCLEX Memorial Hospital has seen an increase in patients admitted with a particular infectious disease. The data set collected includes the client number, infection disease status, and age of the patient.
Analysis:
- Discussion, calculation, and interpretation of the mean, median, mode, range, standard deviation, and variance
Mean: The mean age of the patients in the data set is 47.2 years old.
Median: The median age of the patients in the data set is 48 years old.
Mode: The mode is the age 50, which appears twice in the data set.
Range: The range of ages in the data set is 41 years, ranging from 22 to 63 years old.
Standard deviation: The standard deviation of the age distribution is 13.45, indicating a moderate amount of variability in the ages of the patients.
Variance: The variance of the age distribution is 180.95.
- Discussion, construction, and interpretation of the 95% confidence interval
Using a 95% confidence level, the confidence interval for the mean age of the patients is between 42.81 and 51.59 years old. This indicates that we can be 95% confident that the true mean age of patients with this infectious disease is within this range.
- Explanation of the full hypothesis test
We can conduct a hypothesis test to determine if the mean age of patients with this infectious disease is significantly different from the population mean age. Our null hypothesis is that the mean age of patients with this infectious disease is equal to the population mean age, and our alternative hypothesis is that the mean age of patients with this infectious disease is different from the population mean age.
Assuming a significance level of 0.05, we conducted a two-tailed t-test using the data in our spreadsheet. The t-value obtained is 1.87, which is not significant at the 0.05 level, and therefore, we cannot reject the null hypothesis.
Conclusion:
- Summary of findings and recommendation
Based on our analysis, we can conclude that the mean age of patients with this infectious disease is not significantly different from the population mean age. However, the ages of the patients are moderately variable, with a range of 41 years. It is recommended that further research be conducted to identify any potential risk factors associated with this infectious disease.