A mail-order business prides itself in its ability to fill customers' orders in less than six calendar days, on average. Periodically, the operations manager selects a random sample of customer orders and determines the number of days required to fill the orders. On one occasion when a sample of 30 orders was selected, the average number of days was 6.65 with a sample standard deviation of 1.5 days. Assume the time in which an order is filled is normally distributed.

-Set up the null and alternative hypotheses to test whether the standard is being violated.

Question

Quizplus · Accepted Answer

The null hypothesis (H0) is that the average time to fill orders is less than or equal to 6 days, which is the company's standard. The alternative hypothesis (Ha) is that the average time is greater than 6 days, indicating the standard is being violated. Option E correctly sets up these hypotheses.

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