Phase 2

SCENARIO 2

Name

Institution

Introduction

As a healthcare professional at NCLEX Memorial Hospital in the Infectious Disease Unit, we have seen an increase of admitted patients with the same infectious disease. With that being said, I believe that this particular disease is related to the ages of the admitted patients here at NCLEX Memorial Hospital (Triola, 12/2012).

In conclusion, as a healthcare professional at NCLEX Memorial Hospital, I am dedicated to gathering and interpreting the data collected in order to figure out the ages this certain infectious disease effects the patients the most. With the data collected so far, we can see that the average age of the patients that have been admitted with this particular disease is 62 years old. However, middle age is around 61.5 years old.

When it comes down to confidence intervals, they are important while working with statistics in order to get a better view of the population mean instead of just the sample mean. Confidence intervals are ranges of values that can be utilized in order to estimate a true value of the population factor. When using confidence intervals, they give us a better opportunity to see just how good the estimate is. A point estimate is the single value used in order to gather an approximation of the population parameter (Lane, 2015).

All patients with particular disease fall between the ages of 34 to 89. The reference point is 64 years old. There is a 72% confidence level.

The CI for the mean is found by the formula:

First we need to find the critical value by using the formula: ƭα/2

1. n = 60, x̄ = 61.8, s = 8.9

2.

3. E = 2.001(8.9)/sqrt(60)

4. E = 2.299

5. E = 2.30

6.

7. 61.8 – 2.30 < µ < 61.8 + 2.30

8. 60 < µ < 64

I am 95% confident that the interval from 60 years old to 64 years old actually contains the true value of the population average age of patients with the particular disease at NCLEX Memorial Hospital.

· The result found out that of 60 patients , all of them fall between the ages of 35 to 76. The reference point is 76 with a 99% confidence level. The CI for the mean is found by the formula:

First we need to find the critical value by using the formula: ƭα/2

1. n = 60, x̄ = 61.8, s = 8.9

2.

3. E = 2.662(8.9)/sqrt(60)

4. E = 3.0585

5. E = 3.06

6.

7. 61.8 – 3.06 < µ < 61.8 + 3.06

8. 59 < µ < 65

I am 99% confident that the interval from 59 years old to 65 years old actually contains the true value of the population average age of patients with the particular disease at NCLEX Memorial Hospital.

The findings I have observed with comparing between the two different confident levels (95% and 99%) is that there was only a slight increase in the age range. From this I can see that when we are 95% confident that the interval is tighter rather than when being 99% confident it leaves more room for error. I can conclude with this analysis that when being 95% confident that the patient age average is within the interval.

Null Hypothesis

1. Null and Alternative Hypothesis

H0: u = 65 *claim hypothesis*

Ha: u < 65

2. Type of Tests

This test is a left-tailed test due to the fact that the alternative hypothesis states the average is less than 65. The test statistic: t-test, will be used because we have the average but an unknown standard deviation.

Test statistic: T=(61.8-65)/(8.9/SQRT(60))

Test statistic: T=-2.79

P-value: =1-TDIST(2.79,59,1)

P-value: =0.996456

Critical values =TINV(0.05,59)

Critical Value = 2.0

Conclusion

With 95% confidence, it is acceptable that the average age of patients who are admitted to hospital and are suffering from infectious disease is less than 65 years.

References

Triola, Mario F. (12/2012). Elementary Statistics, 12th Edition. [VitalSource Bookshelf Online].

Retrieved from

https://bookshelf.vitalsource.com/#/books/9781323114896/

Lane, D. (2015) Confidence Intervals Introduction. Retrieved from

http://onlinestatbook.com/2/estimation/confidence.html