For the following situations, state whether a Type I, a Type II, or neither erro

Question

For the following situations, state whether a Type I, a Type II, or neither error has been made. Explain briefly. A human resource analyst wants to know if the applicants this year score, on average, higher on their placement exam than the average last year, 40.5 points. She samples 50 recent tests and the average is 41.7 points. She fails to reject the null hypothesis that the mean is 40.5 points. At the end of the year, the candidates this year had a mean of 43.2 points. Choose the correct answer below. Type I error has been made because the actual value was 43.2 points, which is greater than 40.5. No error has been made because the actual value is close to 40.5. A Type II error has been made because the actual value was 43.2 points, which is greater than 40.5.

Explanation / Answer

AS GIVEN THAT SHE FAILS TO REJECT THE HYPOTHESIS AND THE ACTUAL MEAN IS 43.2 WHICH IS MORE THEN THE MEAN OF 40.5 THEREFORE THERE IS AN ERROR TAKEN PLACE HERE.

TYPE 1 ERROR MEANS WHEN WE REJECT THE HYPOTHESIS INCORRECTLY

WHILE TYPE 2 ERROR MEANS THAT WE FAIL TO REJECT THE FALSE HYPOTHESIS.

IN THIS QUESTION THE HYPOTHESIS IS FALSE AND WE HAVE FAILED IN REJECTING THAT, THEREFORE OPTION C IS CORRECT.

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