For each problem, select the best response. (a) A newborn baby has extremely low birth weight (ELBW) if it weighs less than 1000 grams. A study of the health of such children in later years examined a random sample of 219 children. Their mean weight at birth was a = 810 grams. This sample mean is an unbiased estimator of the mean weight & in the population of all ELBW babies. This means that O A. the sample mean i will have a distribution that is close to Normal. O B. the average sample mean a, over all possible samples, is equal to . O C. the sample mean i is always equal to p. O D. None of the above. (b) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 495 and standard deviation 113. You choose an SRS of 100 students and average their SAT math scores. If you do this many times, with a sample of size 100 each time, the standard deviation of the average scores will get close to O A. 1.13 O B. 113 O C. 11.3 O D. None of the above. (c) Scores on the mathematics part of the SAT exam in a recent year were roughly Normal with mean 495 and standard deviation 113. You choose an SRS of 100 students and average their SAT math scores. If you do this many times, with a sample of size 100 each time, the mean of the average scores will get close to O A. 4.95 O B. 495 O C. 49.5 O D. None of the above.10. Submit answer Practice similar Attempt 1: 2 attempts remaining. The scores of students on the SAT college entrance examinations at a certain high school had a normal distribution with mean / = 549.6 and standard deviation o = 25.8. Note that you may need to give a more accurate decimal approximation of the answer to receive credit. Rounding to within at least four decimal places is best. Pay attention to the warnings! (a) What is the probability that a single student randomly chosen from all those taking the test scores 556 or higher? ANSWER: For parts (b) through (d), consider a simple random sample (SRS) of 25 students who took the test. (b) What are the mean and standard deviation of the sample mean score a, of 25 students? The mean of the sampling distribution for i is: The standard deviation of the sampling distribution for a is: (c) What z-score corresponds to the mean score a of 556? ANSWER: (d) What is the probability that the mean score a of these students is 556 or higher? ANSWER: Submit answer Next item