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In estimating the mean score on an exam, we use an original sample size of n = 50 to obtain 95%confidence interval for the mean of 45.3 to 56.7. For the following two questions, we change one thing about the process. Indicate which is the most likely confidence interval which would result after the change. a) We create a 99% confidence interval instead of a 95% confidence interval. i.) 45.3 to 56.7 ii. 41.1 to 60.9 iii. 47.8 to 54.2 b) We use a sample size of n = 100 instead of n = 50. i. 41.1 to 60.9 ii. 47.8 to 54.2 iii. 45.3 to 56.7