A population has standard deviation =17.6. Part 1 of 2 (a) How large a sample must be drawn so that a 99.9% confidence interval for u will have a margin of error equal to 4.4? Round the critical value to no less than three decimal places. Round the sample size up to the nearest integer. A sample size of is needed to be drawn in order to X 5 obtain a 99.9% confidence interval with a margin of error equal to 4.4. Part 2 of 2 (b) If the required confidence level were 98%, would the necessary sample size be larger or smaller? "Choose one) , because the confidence level is (Choose one) X higher lower