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 H_a: μ 6 days C)H₀: μ 6 days H_a: 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 H_a: μ < 6 days B)H₀: μ ≤ 6 days H_a: μ > 6 days C)H₀: μ > 6 days H_a: μ ≤ 6 days D)H₀: μ < 6 days H_a: μ ≥ 6 days

Quizplus · Accepted Answer

The appropriate null hypothesis is that the average number of days to fill customer orders is equal to or less than six (μ ≤ 6 days). The alternative hypothesis is that the average number of days to fill customer orders is greater than six (μ > 6 days). This is because the business prides itself on fulfilling orders in six days or less, so if the data suggests that orders are taking longer than six days on average, there may be a problem with meeting their desired standard. Therefore, the best choice is B.

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