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Suppose a follow-up study was performed to investigate the effect of three quantities of gatorade on a total of 15 different patients in a randomized design.The data are summarixed below:

Gatorade Dose

DataMean250 mL

3.1, 1.1, 2.3, 2.1, 3.1

2.34500 mL

4.8, 4.2, 3.3, 4.0, 3.9

4.041500 mL

5.1, 7.2, 6.4, 6.1, 4.8

5.92

Determine if there is any evidence of a difference in the effectiveness of different doses of gatorade on the observed glucose levels.If the overallF-test is significant, continue your ANOVA analysis strategy to determine which, if any means differ from one another.The Between Group Sum of Squares (SSBetween) was already calculated as 32.068, while the Total Sum of Squares (SS_Total) was calculated as 39.82.This question has FIVE parts.

1.

From the provided tables, the required critical value for the F-test (at the five percent level) is:

a.

1.96

b.

3.68

c.

3.84

d.

4.10

e.

19.40

2.

From the overall F-test, you would conclude:

a.

All of the gatorade doses are indeed different.

b.

Two of the gatorade doses are the same, one is different.

c.

At least one of the gatorade doses differs from the others.

d.

There was no evidence of any statistically significant differences between the gatorade doses.

3.

(2 marks) If necessary, use an appropriate post-hoc analysis to determine which (if any) of the gatorade doses differ and select the most appropriate conclusion.

a.

The 500 mL dose is different, the 250 mL and 1500 mL doses are not significantly different from one another.

b.

The 1500 mL dose is different, the 250 mL and 500 mL doses are not significantly different from one another.

c.

All three gatorade doses are significantly different from one another.

d.

Further analyses were not necessary based on the overall ANOVA results.