Question

100 points, I need help fast!

Answer 1

a. The standard error is equal to the standard deviation divided by the square root of the sample size:

SE = (23 ppm)/√18 ≈ 5.42 ppm

b. The t statistic is given by the difference between the true and sample means, divided by the standard error:

t = (192 ppm - 180 ppm)/SE ≈ 2.21

c. The p-value is approximately 0.0204.

d. Since p < 0.05, the difference is significantly different, so we reject the null hypothesis.

e. A type I error might have occurred, since it's possible that the null hypothesis was true, but we ended up rejecting it.