A mail-order business prides itself in its ability to fill customers' orders in six calendar days or less on the average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. Based on this sample information, he decides if the desired standard is not being met. He will assume that the average number of days to fill customers' orders is six or less unless the data suggest strongly otherwise. Establish the appropriate null and alternative hypotheses. A) H0 : μ ≥ 6 days Ha : μ 6 days C) H0 : μ 6 days Ha : μ ≤ 6 days D) H0 : μ

Question

A mail-order business prides itself in its ability to fill customers' orders in six calendar days or less on the average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. Based on this sample information, he decides if the desired standard is not being met. He will assume that the average number of days to fill customers' orders is six or less unless the data suggest strongly otherwise. Establish the appropriate null and alternative hypotheses. A) H0 : μ ≥ 6 days Ha : μ < 6 days B) H0 : μ ≤ 6 days Ha : μ > 6 days C) H0 : μ > 6 days Ha : μ ≤ 6 days D) H0 : μ < 6 days Ha : μ ≥ 6 days

Quizplus · Accepted Answer

The null hypothesis (H0) should reflect the condition of meeting the standard (six days or less on average to fill orders), so H0: μ ≤ 6 days. The alternative hypothesis (Ha) is what the operations manager is testing for, to see if there's strong evidence that the process is taking longer than desired, hence Ha: μ > 6 days.

A Mail-Order Business Prides Itself in Its Ability to Fill