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A random sample of 30 baseball players from the a baseball league's season was taken and the sample data were used to construct two confidence intervals for the population mean. One interval was (20.7, 39.7). The other interval was (18.9, 41.5). a. One interval is a 95% interval, and one is a 90% interval. Which is which, and how do you know? b. If a larger sample size was used, for example, 40 instead of 30, how would this affect the width of the intervals? Explain. a. Choose the correct answer below. O A. The interval (20.7, 39.7) is the 95% interval and (18.9, 41.5) is the 90% interval-a higher level of confidence results in a narrower confidence interval. O B. The interval (18.9, 41.5) is the 95% interval and (20.7, 39.7) is the 90% interval-95% of the data points fall between 18.9 and 41.5. O C. The interval (18.9, 41.5) is the 95% interval and (20.7, 39.7) is the 90% interval-a higher level of confidence results in a wider confidence interval. O D. The interval (20.7, 39.7) is the 95% interval and (18.9, 41.5) is the 90% interval-90% of the data points fall between 18.9 and 41.5. b. The intervals with n = 40 will be than the intervals with n = 30 because a larger sample size provides a standard error, and this means a margin of error at the same level of confidence