Question

The college board reported the following mean scores for the three parts of the sat: critical reading 502 mathematics 515 writing 494 assume that the population standard deviation on each part of the test is σ = 100. if required, round your answers to two decimal places.

(a)for a random sample of 30 test takers, what is the sampling error of x for scores on the critical reading part of the test?

Answer 1

The sampling error of x for scores on the critical reading part of the SAT is approximately 18.26.

Step-by-step explanation:

The sampling error of x for scores on the critical reading part of the SAT can be calculated using the formula:

Sampling Error = σ / √n

Where σ is the population standard deviation, n is the sample size, and √n is the square root of the sample size.

In this case, the population standard deviation is given as σ = 100 and the sample size is 30. Substituting these values into the formula, we get:

Sampling Error = 100 / √30 ≈ 18.26

Therefore, the sampling error of x for scores on the critical reading part of the SAT is approximately 18.26.