Question

USE MINITAB 18 attach screen shots.... End Result Hospital wants to assess the effectiveness of diabetes education through A1c levels. The hospital created three groups of patients. In the control group no instruction is provided, in the second group instruction is provided by physicians, and in the third group instruction is provided by RNs. Use the appropriate statistical test to determine if there is any difference in patient A1c levels between the three groups. Interpret using α = .05. Include and interpret the confidence interval plot. Based on the results, what should be the recommended type of diabetes education?

Control	MD	RN
10	7	6
7	6	5
5	4	5
14	8	7
8	7	6
6	5	4
10	9	8
9	10	7
5	5	4
12	8	5
11	10	4
10	7	6
12	7	7
10	6	5
9	9	4

Answer 1

Solution:

Here, we have to use one way analysis of variance or ANOVA F test for checking the given hypothesis or claim. The null and alternative hypotheses for this test are given as below:

Null hypothesis: H₀: There is no significant difference in the population average effectiveness of diabetes education in the three groups.

Alternative hypothesis: H_a: There is a significant difference in the population average effectiveness of diabetes education in at least two groups out of three groups.

We are given level of significance = α = 0.05

The Minitab output for this test is given as below:

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One-way ANOVA: Control, MD, RN

Analysis of Variance

Source     DF        SS        MS        F        P

Factor      2    101.11     50.56    12.75    0.000

Error      42    166.53      3.97

Total      44    267.64

                                   Individual 95% CIs For Mean

                                   Based on Pooled StDev

Level       N      Mean     StDev --+---------+---------+---------+----

Control    15     9.200     2.624                         (-----*------)

MD         15     7.200     1.821             (-----*-----)

RN         15     5.533     1.302 (------*-----)

                                   --+---------+---------+---------+----

Pooled StDev =    1.991            4.8       6.4       8.0       9.6

From above output, we have

P-value = 0.000

P-value < α = 0.05

So, we reject the null hypothesis

There is sufficient evidence to conclude that there is a significant difference in the population average effectiveness of diabetes education in at least two groups out of three groups.