Question

"Conservationists have despaired over destruction of tropical rain forest by logging, clearing, and burning." These words begin a report on a statistical study of the effects of logging in Borneo. Here are data on the number of tree species in 12 unlogged forest plots and 9 similar plots logged 8 years earlier:

Answer 1

Answer:

The answer is "(0.461 , 7.206)"

Step-by-step explanation:

In the given question some information is missing, that is data. so, the correct answer to this question can be defined as follows:

UnLogged:

$x_1=17.500\\s_1=3.529\\n_1=12$

Logged:

$x_2=13.667\\ s_2=4.500\\n_2=9$

formula of std error:

$\ std \ error =\sqrt{\frac{s_1^2}{n_1}+\frac{s_2^2}{n_2}}$

                $=\sqrt{\frac{3.529^2}{12}+\frac{4.500^2}{9}}\\\\=\sqrt{\frac{3.529^2\times 3+4.500^2\times 4}{36}}\\\\=1.8133$

Point differential estimation =$x_1-x _2$

                                              $= 17.500-13.667\\=3.833$

For 90 percent t= 1.860 Cl & 8 df  

error of margin E = $t\times \ std \ error$

                             $= 1.860 \times 1.8133\\= 3.373$

Lower bound =mean difference -E=0.461

Upper bound = mean difference+ E=7.206

In the above 90% confidence interval were the population mean= (0.461 , 7.206)