5 A machine that is programmed to package 3.00 pounds of cereal in each cereal box is being tested for its accuracy. In a sample of 49 cereal boxes, the mean and the standard deviation are calculated as 3.05 pounds and 0.14 pound, respectively. a. (2pts) Select the null and the alternative hypotheses to determine if the machine is working improperly, that is, it is either underfilling or overfilling the cereal boxes. Skipped OHO: H = 3.00; HA: H 3.00 OHO: H = 3.00; HA: H x 3.00 b-1. (2pts) Calculate the value of the t-statistic. (Round final answer to 2 decimal places.) Test statistic b-2. (2pts) Under the null hypothesis, the t-statistic has a t-distribution with how many degrees of freedom? Degrees of Freedom