Statistical Analysis for Australian Hospitals

Running head: STATISTICAL ANALYSIS FOR AUSTRALIAN HOSPITALS
Statistical Analysis for Australian Hospitals
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STATISTICAL ANALYSIS FOR AUSTRALIAN HOSPITALS
Table of Contents
Answer 1..........................................................................................................................................3
Part A...........................................................................................................................................3
Part B...........................................................................................................................................4
Part C...........................................................................................................................................5
Part D...........................................................................................................................................5
Part E...........................................................................................................................................6
Part F............................................................................................................................................6
Answer 2..........................................................................................................................................7
Part A...........................................................................................................................................7
Part B...........................................................................................................................................7
Part C...........................................................................................................................................7
Part D...........................................................................................................................................7
Part E...........................................................................................................................................8
Part F............................................................................................................................................9
Part G...........................................................................................................................................9
Answer 3........................................................................................................................................10
Part A.........................................................................................................................................10
Part B.........................................................................................................................................10
Part C.........................................................................................................................................11

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STATISTICAL ANALYSIS FOR AUSTRALIAN HOSPITALS
Part D.........................................................................................................................................12
Part E.........................................................................................................................................12
Part F..........................................................................................................................................12
Part G.........................................................................................................................................13
Answer 4........................................................................................................................................14
Part A.........................................................................................................................................14
Part B.........................................................................................................................................14
Part C.........................................................................................................................................14
Part D.........................................................................................................................................15
Part E.........................................................................................................................................16
Part F..........................................................................................................................................16
Answer 5........................................................................................................................................17
Part A.........................................................................................................................................17
Part B.........................................................................................................................................17
Part C.........................................................................................................................................17
Part D.........................................................................................................................................17
Part E.........................................................................................................................................18
Bibliography..................................................................................................................................19

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STATISTICAL ANALYSIS FOR AUSTRALIAN HOSPITALS
Answer 1
Part A
Considering the cost of nursing staff (TotalNurseCost in Million) in only the Psychiatric wards in
the Australian hospitals, the descriptive statistics is calculated.
Descriptive Statisticsa
N Minimum Maximum Mean Std. Deviation
Total Nurse Cost in Million 22 1.60 233.73 72.4128 59.48364
Valid N (listwise) 22
a. Psychiatric Ward = Yes
Table 1: Descriptive statistics for cost of nursing staff for Psychiatric ward
The formula to calculate the 99% confidence interval for the population mean cost of nursing
staff for all Australian hospitals with Psychiatric wards is:
x ± Z s
√ n
Using the value of mean and standard deviation obtained from table 1 in the formula:
72.41 ±
Z α
2
∗59.48
√22
Z=2.58
72.41 ± 2.58∗59.48
4.69
72.41 ±2.58∗28.12
72.41 ±5.457=66.593 ,77.867

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STATISTICAL ANALYSIS FOR AUSTRALIAN HOSPITALS
Hence, the 99% confidence interval is 66.953 ≤ Z ≤ 77.867
Part B
Validity of the confidence interval is tested using Shapiro-Wilk Test. If the significance value is
greater than 0.05, then the confidence interval is valid. If the value is less than 0.05, then it does
not satisfy the normality assumptions and the conditions. The significance value is 0.007, less
than 0.05 and hence, the data is not normality distributed. The normality test outcome and the
histogram are provided below.
Tests of Normalitya
Kolmogorov-Smirnovb Shapiro-Wilk
Statistic df Sig. Statistic df Sig.
Total Staff Cost in Million .193 22 .032 .868 22 .007
a. Psychiatric Ward = Yes
b. Lilliefors Significance Correction
Table 2: Normality test
Figure 1: Histogram of normality test

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STATISTICAL ANALYSIS FOR AUSTRALIAN HOSPITALS
Part C
Null hypothesis for viability testing of the research findings is:
H0: μ≥ $100
Alternative hypothesis:
H1: μ< $100
Formula for one sample t-test:
t= x−μ
s /√ n
Part D
The mean and standard deviation values are obtained from Table 1.
Mean = 72.41, std. deviation = 59.48, n = 22
t= 72.41−100
59.48/√ 22
t= 72.41−100
59.48/4.69
t=−27.59
12.682 =−2.17
Part E
In this case, degrees of freedom: 22 – 1 = 21