During four years they provided advice to 653 clients. At this point of time the

Question

During four years they provided advice to 653 clients. At this point of time the government of Ontario is evaluating CRP’s effectiveness. They would like to know the following based on a sample of 150 companies.

1. Clients who participated in this program were asked to identify their level of satisfaction with the government prior to receiving consultation; this showed a mean of <3. The government of Ontario likes to know whether their opinion has risen to more than 3 after the consultation with 5% significance.

2. Clients were provided with 1) one to one consultation, 2) workshops and 3) information packages 4) Funding. The government of Ontario is interested to know which one of these methods were deemed most useful by clients, analyze (hint: compare mean with 95% confidence).

3. Some of the employees of the Ontario government believe that IP performed better than NC. In the selected sample IP provided advice to 75 companies and NC to the rest of the 75 companies. Did IP really performed better than NC?

Usefulness of Service Provided One to One Consultation Workshops Information Packages Funding Clients Satisfaction with Govenrment after Receiving Consultation IP's Performance NC's Performance 1 1 1 1.0 1.00 1.00 1.23 1 1 1.4 1.5 1.23 1.30 1.36 1.1 1 1.58 1.5 1.30 1.38 1.48 1.2 1.17 1.58 1.5 1.36 1.56 1.60 1.2 1.17 1.63 1.5 1.38 1.65 1.66 1.2 1.28 1.67 1.8 1.48 1.74 1.76 1.2 1.38 1.67 2.0 1.56 1.80 1.86 1.3 1.42 1.67 2.0 1.60 1.90 1.94 1.4 1.45 1.75 2.0 1.65 1.96 2.03 1.4 1.5 1.75 2.0 1.66 2.08 2.10 1.5 1.7 1.75 2.0 1.74 2.11 2.18 1.5 1.72 1.83 2.0 1.76 2.19 2.21 1.6 1.77 1.83 2.0 1.80 2.21 2.28 1.6 1.77 1.83 2.3 1.86 2.31 2.31 1.6 1.83 1.92 2.3 1.90 2.36 2.37 1.7 1.87 1.92 2.3 1.94 2.40 2.42 1.7 1.92 1.96 2.3 1.96 2.47 2.53 1.7 1.93 2 2.5 2.03 2.54 2.55 1.8 2 2 2.5 2.08 2.55 2.61 1.9 2 2 2.5 2.10 2.62 2.65 1.9 2.03 2 2.5 2.11 2.67 2.69 2 2.07 2.13 2.5 2.18 2.70 2.70 2 2.1 2.17 2.5 2.19 2.74 2.75 2 2.12 2.21 2.5 2.21 2.76 2.77 2 2.13 2.21 2.5 2.21 2.81 2.82 2 2.13 2.25 2.8 2.28 2.83 2.84 2 2.15 2.33 2.8 2.31 2.86 2.88 2 2.15 2.33 2.8 2.31 2.88 2.95 2.1 2.2 2.38 2.8 2.36 2.95 2.99 2.1 2.25 2.38 2.8 2.37 3.00 3.01 2.1 2.38 2.38 2.8 2.40 3.02 3.04 2.1 2.43 2.38 2.8 2.42 3.10 3.11 2.2 2.45 2.46 2.8 2.47 3.11 3.11 2.2 2.47 2.46 3.0 2.53 3.13 3.19 2.2 2.48 2.46 3.0 2.54 3.23 3.23 2.2 2.5 2.5 3.0 2.55 3.26 3.26 2.2 2.5 2.5 3.0 2.55 3.29 3.32 2.3 2.57 2.58 3.0 2.61 3.33 3.33 2.3 2.58 2.58 3.0 2.62 3.34 3.37 2.4 2.63 2.58 3.0 2.65 3.37 3.38 2.4 2.65 2.63 3.0 2.67 3.46 3.49 2.4 2.68 2.67 3.0 2.69 3.50 3.50 2.4 2.68 2.71 3.0 2.70 3.52 3.53 2.4 2.68 2.71 3.0 2.70 3.57 3.58 2.5 2.73 2.71 3.0 2.74 3.58 3.58 2.5 2.75 2.75 3.0 2.75 3.60 3.69 2.5 2.75 2.79 3.0 2.76 3.70 3.71 2.5 2.77 2.79 3.0 2.77 3.71 3.71 2.6 2.82 2.83 3.0 2.81 3.74 3.74 2.6 2.85 2.83 3.0 2.82 3.75 3.78 2.6 2.87 2.83 3.0 2.83 3.78 3.79 2.6 2.87 2.88 3.0 2.84 3.79 3.81 2.7 2.87 2.88 3.0 2.86 3.84 3.86 2.7 2.88 2.92 3.0 2.88 3.93 3.95 2.7 2.9 2.92 3.0 2.88 3.95 3.95 2.7 2.92 2.92 3.3 2.95 3.95 3.96 2.7 2.92 2.92 3.3 2.95 3.99 4.00 2.8 2.98 2.92 3.3 2.99 4.02 4.02 2.8 3 2.96 3.3 3.00 4.02 4.08 2.8 3 3 3.3 3.01 4.09 4.13 2.8 3.03 3 3.3 3.02 4.14 4.17 2.8 3.05 3.04 3.3 3.04 4.18 4.19 2.9 3.1 3.13 3.3 3.10 4.20 4.23 2.9 3.12 3.17 3.3 3.11 4.24 4.26 2.9 3.13 3.17 3.3 3.11 4.26 4.33 2.9 3.13 3.17 3.3 3.11 4.35 4.35 2.9 3.18 3.17 3.3 3.13 4.39 4.41 3 3.2 3.21 3.3 3.19 4.41 4.45 3 3.2 3.21 3.5 3.23 4.47 4.47 3 3.22 3.21 3.5 3.23 4.48 4.49 3 3.27 3.25 3.5 3.26 4.50 4.50 3 3.27 3.25 3.5 3.26 4.51 4.54 3.1 3.3 3.25 3.5 3.29 4.56 4.62 3.1 3.33 3.33 3.5 3.32 4.63 4.64 3.1 3.33 3.38 3.5 3.33 4.67 4.70 3.1 3.35 3.38 3.5 3.33 3.1 3.37 3.38 3.5 3.34 3.18 3.37 3.42 3.5 3.37 3.2 3.37 3.42 3.5 3.37 3.2 3.37 3.46 3.5 3.38 3.3 3.4 3.46 3.7 3.46 3.3 3.42 3.5 3.8 3.49 3.3 3.43 3.5 3.8 3.50 3.3 3.43 3.5 3.8 3.50 3.3 3.45 3.58 3.8 3.52 3.3 3.45 3.63 3.8 3.53 3.4 3.47 3.67 3.8 3.57 3.4 3.48 3.67 3.8 3.58 3.4 3.48 3.67 3.8 3.58 3.4 3.5 3.67 3.8 3.58 3.4 3.52 3.71 3.8 3.60 3.5 3.55 3.71 4.0 3.69 3.5 3.55 3.75 4.0 3.70 3.5 3.57 3.75 4.0 3.71 3.5 3.57 3.75 4.0 3.71 3.5 3.58 3.75 4.0 3.71 3.6 3.6 3.75 4.0 3.74 3.6 3.6 3.75 4.0 3.74 3.6 3.62 3.79 4.0 3.75 3.6 3.67 3.83 4.0 3.78 3.6 3.67 3.83 4.0 3.78 3.6 3.67 3.88 4.0 3.79 3.6 3.67 3.88 4.0 3.79 3.6 3.7 3.92 4.0 3.81 3.7 3.75 3.92 4.0 3.84 3.7 3.8 3.92 4.0 3.86 3.7 3.8 3.96 4.3 3.93 3.7 3.83 4 4.3 3.95 3.7 3.83 4 4.3 3.95 3.7 3.83 4 4.3 3.95 3.7 3.85 4 4.3 3.95 3.7 3.87 4 4.3 3.96 3.8 3.9 4 4.3 3.99 3.8 3.92 4.04 4.3 4.00 3.8 3.93 4.08 4.3 4.02 3.8 3.93 4.08 4.3 4.02 3.8 3.93 4.08 4.3 4.02 3.8 3.93 4.08 4.5 4.08 3.8 3.98 4.08 4.5 4.09 3.9 4 4.13 4.5 4.13 3.9 4 4.17 4.5 4.14 3.9 4.07 4.21 4.5 4.17 3.9 4.12 4.21 4.5 4.18 3.9 4.13 4.21 4.5 4.19 3.9 4.13 4.25 4.5 4.20 4 4.17 4.25 4.5 4.23 4 4.17 4.29 4.5 4.24 4 4.2 4.33 4.5 4.26 4 4.22 4.33 4.5 4.26 4 4.22 4.33 4.8 4.33 4 4.27 4.38 4.8 4.35 4 4.28 4.38 4.8 4.35 4.1 4.28 4.42 4.8 4.39 4.1 4.3 4.5 4.8 4.41 4.1 4.3 4.5 4.8 4.41 4.2 4.3 4.54 4.8 4.45 4.2 4.33 4.58 4.8 4.47 4.2 4.33 4.58 4.8 4.47 4.2 4.38 4.58 4.8 4.48 4.2 4.38 4.63 4.8 4.49 4.2 4.38 4.67 4.8 4.50 4.2 4.38 4.67 4.8 4.50 4.2 4.43 4.67 4.8 4.51 4.25 4.48 4.67 4.8 4.54 4.3 4.5 4.67 4.8 4.56 4.3 4.5 4.67 5.0 4.62 4.3 4.55 4.67 5.0 4.63 4.3 4.6 4.67 5.0 4.64 4.4 4.62 4.67 5.0 4.67 4.4 4.65 4.75 5.0 4.70

Explanation / Answer

I've used MINITAB for the calculations.

1.Using 1-sample t-test procedure,

Test of mu < 3 vs > 3

95% Lower
Variable N Mean StDev SE Mean Bound T P
Clients Satisfaction wit 150 3.2405 0.9160 0.0748 3.1167 3.22 0.001

From p-value, we can reject mu<3at 5% level of significance.

2. We have used one-way ANOVA and tukey's test:

Source DF SS MS F P
Factor 3 22.633 7.544 8.91 0.000
Error 596 504.474 0.846
Total 599 527.107

S = 0.9200 R-Sq = 4.29% R-Sq(adj) = 3.81%

Level N Mean StDev
One to One Consultation 150 2.9989 0.9113
Workshops 150 3.1684 0.9188
Information Packages 150 3.2753 0.9287
Funding 150 3.5340 0.9212

Pooled StDev = 0.9200

Grouping Information Using Tukey Method

N Mean Grouping
Funding 150 3.5340 A
Information Packages 150 3.2753 A B
Workshops 150 3.1684 B C
One to One Consultation 150 2.9989 C

Means that do not share a letter are significantly different.

3.

Two-sample T for IP vs NC

N Mean StDev SE Mean
IP 75 3.227 0.926 0.11
NC 75 3.254 0.912 0.11

Difference = mu (C6) - mu (C7)
Estimate for difference: -0.028
95% CI for difference: (-0.324, 0.269)
T-Test of difference = 0 (vs not =): T-Value = -0.19 P-Value = 0.853 DF = 147

p -value is waygfreater than 0.05. So, at 5% level of significance, we can say that IP's performance is as good as NC's performance.

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