A researcher is studying wood volume production in forested areas. Wood volume data were collected in different plots (sampling units) in areas A and B, as shown in the table below. The researcher states that there is no difference in the volume of wood produced between the two areas. It assumes that the volume of wood follows a normal distribution and that the population variance of the volume in area A (σ2A) is different from the population variance of the volume in area B (σ2B). Carry out an adequate hypothesis test to verify the researcher's statement, considering a significance level of 2% Parcela 1 2 3 4 5 6 7 8 9 10 Área A 65 70 63 76 65 65 76 65 65 63 Área B 50 62 50 61 66 70 62 61 68 a. The test hypotheses in this study are: H0: μA=μB and Ha:μA>μB b. The test statistic value calculated based on the data is: c. The critical (absolute) value of the test for the desired significance level is:
A researcher is studying wood volume production in forested areas. Wood volume data were collected in different plots (sampling units) in areas A and B, as shown in the table below. The researcher states that there is no difference in the volume of wood produced between the two areas. It assumes that the volume of wood follows a
Parcela | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
Área A | 65 | 70 | 63 | 76 | 65 | 65 | 76 | 65 | 65 | 63 |
Área B | 50 | 62 | 50 | 61 | 66 | 70 | 62 | 61 | 68 |
a. The test hypotheses in this study are: H0: μA=μB and Ha:μA>μB
b. The test statistic value calculated based on the data is:
c. The critical (absolute) value of the test for the desired significance level is:
Step by step
Solved in 6 steps with 1 images