A researcher predicts that listening to music while solving math problems will make a particular brain area more active. To test this, a research participant has her brain scanned while listening to music and solving math problems, and the brain area of interest has a percentage signal of 59.
From many previous studies with this same math problems procedure (but not listening to music), it is known that the signal change in this brain area is normally distributed with a mean of 33 and a standard deviation of 10.
Complete parts (a) and (b) below (See PIC)
Extracted text: Determine the cutoff sample score(s). The cutoff sample score(s) is/are (Use a comma to separate answers as needed. Round to two decimal places as needed.) Determine the sample's score on the comparison distribution. The sample's score on the comparison distribution is (Round to two decimal places as needed.) Decide whether to reject the null hypothesis. Choose the correct answer below. O A. Fail to reject the null hypothesis because the sample's score is more extreme than the cutoff sample score(s). O B. Reject the null hypothesis because the sample's score is less extreme than the cutoff sample score(s). OC. Fail to reject the null hypothesis because the sample's score is less extreme than the cutoff sample score(s). D. Reject the null hypothesis because the sample's score is more extreme than the cutoff sample score(s). Illustrate your answer with a sketch showing the comparison distribution, the cutoff (or cutoffs), and the score of the sample on this distribution. Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) A. OB.
Extracted text: (a) Using a 0.01 level, what should the researcher conclude? First determine the null hypothesis. Choose the correct answer below. O A. Listening to music while solving math problems will make a particular brain area less active than while not listening to music. O B. Listening to music while solving math problems will make a particular brain area more active than while not listening to music. OC. Listening to music while solving math problems will result in a percentage signal of 59, while not listening to music will result in a percentage signal of 33. O D. Listening to music while solving math problems will make a particular brain area less active than, or have the same activity as, while not listening to music. Determine the research hypothesis. Choose the correct answer below. O A. Listening to music while solving math problems will make a particular brain area less active than, or have the same activity as, while not listening to music. O B. Listening to music while solving math problems will make a particular brain area more active than while not listening to music. O C. Listening to music while solving math problems will make a particular brain area less active than while not listening to music. O D. Listening to music while solving math problems will result in a percentage signal of 59, while not listening to music will result in a percentage signal of 33. Determine the comparison distribution. Choose the correct answer below. Rectangular distribution Normal distribution Skewed distribution O o o