Question

In: Statistics and Probability

A nursing audit was carried out for four populations of patients in a large community hospital....

  1. A nursing audit was carried out for four populations of patients in a large community hospital. The total audit score for each patient reflects nursing performance for several basic areas (application of nursing procedures and promotion of total health, for example). The table below presents the total audit scores for five randomly selected patients on within each of the audited populations within the given hospital.

    Medical

    Surgical

    Pediatrics

    Ob-Gyn

    75

    75

    70

    50

    65

    80

    70

    65

    50

    85

    60

    70

    60

    70

    75

    70

    70

    90

    80

    75

    The sample means: 64    80 71    66

    Sample st deviations:         9.62 7.91 7.42    9.62

    Perform analysis of variance on this data. The F-statistic for the ANOVA test, rounded to three decimal places, is

1 points   

QUESTION 8

  1. The P-value for the ANOVA test in number 7 is

    A.

    between 0.05 and 0.10.

    B.

    greater than 0.10.

    C.

    less than 0.01.

    D.

    less than 0.05.

1 points   

QUESTION 9

  1. Which one of the statements below is the best conclusion for your test in number 7?

    A.

    The test shows that the differences in the mean scores are statistically significant but in looking at the descriptive summaries (sample means) we see that the differences are not practically significant.

    B.

    The test shows that the differences in mean scores are not statistically significant.

    C.

    The test allows us to conclude that the mean scores are not all the same, and descriptive summaries of the data (sample means) suggest the mean score for surgical nursing performance is highest.

    D.

    The test allows us to conclude that the mean scores are not all the same, but the mean scores for medical and Ob-Gyn patients are the same.

1 points   

QUESTION 10

  1. The ANOVA test of the data in #7 is better than comparing the four populations of scores in six different two-sample tests (comparing all possible pairs) because

    A.

    the conclusions from the six two-sample procedures might not agree.

    B.

    the two-sample tests can be one-sided or two sided and we don't know which alternatives are best.

    C.

    we can control the probability of making a type I error with a single ANOVA test but not with six separate tests, each of which could result in a Type I error.

    D.

    the conditions for two-sample procedures might not be met for all 6 pairs of scores.

Solutions

Expert Solution

Sol:

Perform one way ANOVA in excel

Data >Data analysis>single factor ANOVA

you will get

Anova: Single Factor
SUMMARY
Groups Count Sum Average Variance
Medical 5 320 64 92.5
Surgical 5 400 80 62.5
Pediatrics 5 355 71 55
Ob-Gyn 5 330 66 92.5
ANOVA
Source of Variation SS df MS F P-value F crit
Between Groups 763.75 3 254.5833 3.366391 0.044836 3.238872
Within Groups 1210 16 75.625
Total 1973.75 19

The F-statistic for the ANOVA test, rounded to three decimal places, is

F=3.366

QUESTION 8

P value=0.0448

MARK OPTION

less than 0.05.

Solution9:

p<0.05

Reject Ho

Accept Ha

atleast one of the group means are different.

Groups Average
Medical 64
Surgical 80
Pediatrics 71
Ob-Gyn 66

The test allows us to conclude that the mean scores are not all the same, and descriptive summaries of the data (sample means) suggest the mean score for surgical nursing performance is highest.


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