Question

• follow the 10-step hypothesis testing procedure; in the step of “calculation of test statistic”, use MATLAB to obtain the ANOVA table and find the results accordingly. (prob VI does not need 10 steps)
• Before you start, make sure you can tell 1-way, 2-way or n-way ANOVA is going to be used.
• If the post analysis is needed, use MATLAB function ‘multcompare’.
• Attach all MATLAB results/figures/tables and draw your conclusion accordingly.

Packed cell volume determinations were made on two groups of children with cyanotic congenital heart disease. The sample sizes and variances were as follows:

Group	n	s2
1	10	40
2	16	84

1. Does the data provide sufficient evidence that the population 1 has variance greater than 30? Let α=0.05.
2. Does the data provide sufficient evidence that the population 2 has variance greater than 60? Let α=0.05.

Answer 1

df = n-1

= 9

i.e. data does not provide sufficient evidence that the population 1 has a variance greater than 30.

df = n-1

= 15

i.e. data does not provide sufficient evidence that the population 2 has a variance greater than 60.

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