Question

​c) A human resource analyst wants to know if the applicants this year​ score, on​ average, higher on their placement exam than the 52.5 points the candidates averaged last year. She samples 50 recent tests and finds the average to be 54.1 points. She fails to reject the null hypothesis that the mean is 52.5 points. At the end of the​ year, they find that the candidates this year had a mean of 55.3 points. Choose the correct answer below. A. The analyst did not make an error. The actual value was 55.3​ points, which is close to 52.5. B. The analyst made a Type I error. The actual value was 55.3​ points, which is greater than 52.5. C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5. D. The analyst made a Type II error. The actual value was 55.3​ points, which is close to 52.5. E. The analyst made a Type I error. The actual value was 55.3​ points, which is close to 52.5.

Answer 1

Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Explanation:

The null hypothesis was the applicants last year​ score, on​ average was 52.5 points.

Conclusion: She fails to reject the null hypothesis that the mean is 52.5 points.

At the end of the​ year, they find that the candidates this year had a mean of 55.3 points.

A type II error occurs when the researcher fails to reject the null hypothesis when it is false. Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Answer 2

Option C. The analyst made a Type II error. The actual value was 55.3​ points, which is greater than 52.5

Explanation: