Question

Deli Delivery delivers sandwiches to neighboring office buildings during lunch time in New York City. The deli claims that the sandwiches will be delivered within 20 minutes from receiving the order. Given the hectic schedules of their customers, consistent delivery time is a must. The owner has decided that the standard deviation of delivery times should be at most 5 minutes. To determine how consistently the sandwiches are being delivered, the manager randomly selects 25 orders and measures the time from receiving the order to delivery of the sandwich. The average time to delivery of the sample was 21 minutes with a standard deviation of 18.60 minutes. Will the manager conclude at α = 0.025 that the delivery times vary more than the owner desires? Step 2 of 5: Calculate the p-value for an upper one-sided alternative hypothesis (right-tailed test). The alternative hypothesis for this problem is H1:σ2 > 25 mins.

Answer 1