The Simone Company is considering a new computer program to speed up the processing of its inventory. Two programs are being considered: Program A and Program B. To test the programs, 56 employees were divided into two groups of 28. The mean processing time of Program A was 33 seconds with a standard deviation of 5 seconds. The mean processing time of Program B was 31 seconds with a standard deviation of 3 seconds. Is there a difference in the speed of the two programs? Choose an appropriate significance level. Calculate and interpret the p-value. a. State the decision rule. (Round the final answers to 3 decimal places.) Reject Ho if t is outside b. Compute the pooled estimate of the population variance. (Round the final answer to 1 decimal place.) Pooled estimate of the population variance is [ c. Compute the value of the test statistic. (Round the final answer to 2 decimal places.) Test statistic 1.82 d. What is your decision regarding the null hypothesis. Reject Ho. e. Compute the p-value. (Round the final answer to 4 decimal places.) p-value