Question

What is the approximate standard error of the mean for a sample size of 175 if the population has a standard deviation of 25.29?

1) 13.23
2) 6.92
3) 1.91
4) 0.14

Answer 1

The approximate standard error of the mean for a sample size of 175 with a population standard deviation of 25.29 is 1.91, calculated by dividing the standard deviation by the square root of the sample size.

Step-by-step explanation:

To calculate the standard error of the mean, we use the formula SE = σ / √n, where σ represents the population standard deviation and n represents the sample size. Given that the population standard deviation is 25.29 and the sample size is 175, we can substitute these values into the formula.

SE = 25.29 / √175
SE = 25.29 / 13.2288 (rounded to four decimal places)
SE = 1.91 (rounded to two decimal places).

Therefore, the approximate standard error of the mean for a sample size of 175 when the population standard deviation is 25.29 is 1.91.