Agar-agar is a gel prepared from red algae cell walls, which has several applications, such as its use as a stabilizer. A study of the amount of agar-agar extracted from the alga Pterocladia Capillacea in two locations in the state of Rio de Janeiro provided the results below: Local replicates agar-agar content (%) A 8 42,37; 40,23; 37,00; 37,91; 38,82; 34,58; 42,58; 39,38 B 9 36,40; 33,88; 30,85; 32,42; 34,40; 33,62; 31,50; 35,04; 29,80 a) Formulate the null and alternative hypoth
Agar-agar is a gel prepared from red algae cell walls, which has several applications, such as its use as a stabilizer. A study of the amount of agar-agar extracted from the alga Pterocladia Capillacea in two locations in the state of Rio de Janeiro provided the results below:
Local |
replicates |
agar-agar content (%) |
A |
8 |
42,37; 40,23; 37,00; 37,91; 38,82; 34,58; 42,58; 39,38 |
B |
9 |
36,40; 33,88; 30,85; 32,42; 34,40; 33,62; 31,50; 35,04; 29,80 |
a) Formulate the null and alternative hypotheses for a test that verifies that the accuracy obtained at location A is better than at location B at the 99% confidence level. Perform the test clearly showing how the calculated critical values (confidence level and degrees of freedom) were obtained and conclude in full whether the null hypothesis is true or not.
b) Can it be considered that environmental differences cause a significant change (considering the 95% confidence level) in the agar-agar content present in algae? Perform the appropriate hypothesis testing by clearly showing how the calculated critical values (confidence level and degrees of freedom) were obtained and conclude in full whether the null hypothesis is true or not.
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