4. The amount of contaminants in two independent samples (comprised of independent subjects) from two distinct bird species is measured in a veterinary hospital. The summary of the data is presented below. Data from Pop. 1 Data from Pop. 2 n1=13 71=1.12 $1=0.52 nュ=15 チュ=1.49 S2=0.70 We are interesting in testing Ho: H-2=0, versus H.: -P20. And we will make the normality assumption. (a) Suppose that we know the population variances: of = 0.1, o% = 0.2. Design the test and find its pvalue. What conclusion do you reach at significance level 5%? (b) Suppose that the researchers do not trust these population vari- ance values, and would like to do the test based on the sample variances provided above. Assuming equal variance, how would your conclusions changed?

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4. The amount of contaminants in two independent samples (comprised
of independent subjects) from two distinct bird species is measured in
a veterinary hospital. The summary of the data is presented below.
Data from Pop. 1 Data from Pop. 2
n1=13
71=1.12
$1=0.52
72=D15
I2=1.49
S2=0.70
We are interesting in testing Ho: -P2=0, versus H,: A-A20.
And we will mnake the normality assumption.
(a) Suppose that we know the population variances: of = 0.1, o =
0.2. Design the test and find its pvalue. What conclusion do you
reach at significance level 5%?
(b) Suppose that the researchers do not trust these population vari-
ance values, and would like to do the test based on the sample
variances provided above. Assuming equal variance, how would
your conclusions changed?
%3D
Transcribed Image Text:4. The amount of contaminants in two independent samples (comprised of independent subjects) from two distinct bird species is measured in a veterinary hospital. The summary of the data is presented below. Data from Pop. 1 Data from Pop. 2 n1=13 71=1.12 $1=0.52 72=D15 I2=1.49 S2=0.70 We are interesting in testing Ho: -P2=0, versus H,: A-A20. And we will mnake the normality assumption. (a) Suppose that we know the population variances: of = 0.1, o = 0.2. Design the test and find its pvalue. What conclusion do you reach at significance level 5%? (b) Suppose that the researchers do not trust these population vari- ance values, and would like to do the test based on the sample variances provided above. Assuming equal variance, how would your conclusions changed? %3D
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