What conditions are required by the central limit theorem before a confidence interval of the population mean may be created" Multiple Choice O The underlying population must be normally distributed and the sample size is smaller than 10. The underlying population must be normally distributed if the sample size is 30 or more The underlying population need not be normally distributed if the sample size is 30 or more. The underlying population need not be normally distributed if the population standard deviation is known A manager at a local bank analyzed the relationship between monthly salary (y, in $) and length of service (x, measured in months) for 30 employees. She estimates the following model: Salary 6e 61 Service +e. The following table summarizes a portion of the regression results. Intercept Service Coefficients 784.92 9.19 Standard Error 322.25 3.20 t-stat p-value Using the 95% confidence interval, which of the following is the decision to the following hypothesis test He: 688; HA: Bee?