In a study of the effects of acid rain, a random sample of 100 trees from a particular forest is examined. Forty percent of these show some signs of damage. Which of the following statements is correct?
(a) 40% is a parameter
(b) 40% is a statistic
(c) 40% of all trees in the forest show some signs of damage
(d) More than 40% of the trees in the forest show some signs of damage
(e) Less than 40% of the trees in the forest show some signs of damage

Respuesta :

Answer:

b

Step-by-step explanation:

The sample consists of 100 random samples of trees. This means that a parameter is not covered and therefore a is can't be correct.

Not all the trees were used in the sample and therefore c stating that 40% of all the trees in the forest show some signs of damage is not true.

We don't know the number of trees in the forest and 40% of a sample where damage therefore d and e cannot be true.

40% is merely a statistic of 100 sample trees

In a study of the effects of acid rain, a random sample of 100 trees from a particular forest is examined. Forty percent of these show some signs of damage.

Given:  

  • Trees=100
  • Some signs shows Damage=40%

Option (a):- The sample consists of samples of 100 random trees by which means that the parameter of 40% is not covered .                                                                   Therefore, Statement(a) is NOT CORRECT.

Option (b):- The sample consists of samples of 100 random trees by which means that it have the statistic of 40%                                                                    Therefore, Statement(b) is CORRECT.

Option(c):- Not Each of the trees will be used in that sample and therefore, it states that 40% of all the trees in the forest show some signs of damage.

Therefore, Statement(c) is NOT CORRECT.

Option (d):-Here we dont have the number of trees in the forest & 40% of the sample , damage therefore d and e cannot be TRUE                             Therefore, Statement(c) is NOT CORRECT

Therefore, (b) 40% is a statistic for forty percent of these show some signs of damage.

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