Suppose the mean IQ score of people in a certain country is 101. Suppose the director of a college obtains a simple random sample of 42 students from that country and finds the mean IQ is 104.4 with a...

For part d, my answer is incorrect. Can you help me determine the correct inputs and why?

Extracted text: Suppose the mean IQ score of people in a certain country is 101. Suppose the director of a college obtains a simple random sample of 42 students from that country and finds the mean IQ is 104.4 with a standard deviation of 13.7. Complete parts (a) through (d) below. **- -- - - T -------- 0.256 (Round to three decimal places as needed.) Write a conclusion for the test. Choose the correct answer below. O A. Do not reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 103 at the a = 0.01 level of significance. O B. Do not reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 103 at the a= 0.01 level of significance. O C. Reject Ho. There is sufficient evidence to conclude that the mean IQ score of people in the country is greater than 103 at the a= 0.01 level of significance. O D. Reject Ho. There is not sufficient evidence to conclude that the mean IQ score of people in the country is greater than 103 at the a= 0.01 level of significance. (d) Based on the results of parts (a)-(c), write a few sentences that explain the difference between "accepting" the statement in the null hypothesis versus "not rejecting" the statement in the null hypothesis. One should ассept rather than not reject the null hypothesis. If one does not reject the null hypothesis, this indicates that the population mean is a specific value, such as 101, 102, or 103, and so the same data have been used to conclude that the sample mean is three different values, If one ассepts the null hypothesis, this indicates that the sample mean could be 101, 102, or 103 or even some other value; we are simply not ruling them out as the value of the population mean. Therefore, accepting the null hypothesis can lead to contradictory conclusions, whereas not rejecting does not.