Question

Using the same SAT questions described in Exercise 2, is 20 a significantly high number of correct answers for someone making random guesses?

Short answer

20 is not a significantly high number of correct answers.

Step-by-step solution

Given information

The number of questions from a SAT test is .

The possible number of choices for an answer is a,b,c,d,e.

Step 2: Check whether 20is a significantly high number of correct answers.

Significantly high values are the values greater than or equals to $\mu +2\sigma$ .

Referring to exercise 2 of section CQQ,

Using the range rule of thumb,the calculations are computed as,

$$\begin{gathered} \mu +2\sigma =16+\left(2\times 3.6\right) \\ =23.2 \end{gathered}$$

Since 20 is less than 23.2, it implies that it is not a significantly high number of correct answers.

Therefore, by using the range rule of thumb, 20 is not a significantly high number of correct answers.